which is a practical application of freezing point depression

by Ms. Ciara Cummerata DDS Published 3 years ago Updated 2 years ago

salting of roads

What is freezing point depression and how does it work?

Freezing point depression is the phenomenon by which the freezing point of a pure solvent is lowered when a solute is added to it. Freezing point depression is a colligative property, meaning the effect is determined by how many solute particles are added - regardless of what molecule the solute is.

How is freezing point depression used in real life?

Freezing point depression has interesting and useful applications. When salt is put on an icy road, the salt mixes with a small amount of liquid water to prevent melting ice from re-freezing. If you mix salt and ice in a bowl or bag, the same process makes the ice colder, which means it can be used for making ice cream.

What is the formula for freezing point depression?

With the help of this knowledge, one can also conclude that the freezing point formula is: ΔTf= i x Kf x m In this freezing point depression formula, ΔTf is the freezing point depression, i is the Van’t Hoff factor, Kf is the cryoscopic constant, and m is the molality.

How do you solve freezing point depression problems?

Solution:

We need to determine the moles of ethylene glycol: Δt = i K f m 34.0 °C = (1) (1.86 °C kg mol¯ 1) (x / 20.0 kg) 34.0 ...
How many grams is this? (365.59 mol) (62.0674 g/mol) = 22691.22 g
What volume does this occupy?

What is the application of freezing point depression?

The freezing-point depression prevents radiators from freezing in winter. Road salting takes advantage of this effect to lower the freezing point of the ice it is placed on. Lowering the freezing point allows the street ice to melt at lower temperatures, preventing the accumulation of dangerous, slippery ice.

What are some examples of freezing point depression?

A common example of freezing point depression is salt lowering the freezing point of water to keep ice from freezing on roads in cold temperatures.Jul 1, 2021

How is freezing point depression used in real life?

The freezing point depression says that the freezing point of a mixture of two components is lower than that of individual components. It involves a solvent (e.g. water) and a solute which you'll mix with the solvent. A very common example of this phenomenon in everyday life is salting of the roads in water.Nov 12, 2017

What is a practical application of freezing point depression or boiling point elevation?

And at a more practical level for chemists, boiling point elevation, and freezing point depression phenomena can be used to assess the molecularity of a solute, and sometimes an accurate molecular mass.May 17, 2018

Which is a practical application of boiling point elevation?

Measurement of Molar Mass

Boiling point elevation depends on the identity of the solvent and the concentration of solute particles, but not the identity of the solute. Consequently, just like freezing point depression, boiling point elevation can be used to determine the molar mass of a solute.Mar 13, 2018

What is freezing point depression in chemistry?

Freezing Point Depression. Freezing Point Depression. The freezing point of a solution is less than the freezing point of the pure solvent. This means that a solution must be cooled to a lower temperature than the pure solvent in order for freezing to occur.

Why is freezing point important?

A substance may become more or less hazardous if it is stored below its freezing point. Furthermore, the freezing point provides an important safety benchmark for considering the effects of worker exposure to cold environments. The freezing point also comes into play when considering chemical substance safety.

What is freezing and freezing point?

freezing point, temperature at which a liquid becomes a solid. As with the melting point, increased pressure usually raises the freezing point. The freezing point is lower than the melting point in the case of mixtures and for certain organic compounds such as fats.

How do intermolecular forces affect freezing point depression?

Molecules with stronger intermolecular forces are pulled together tightly to form a solid at higher temperatures, so their freezing point is higher. Molecules with lower intermolecular forces will not solidify until the temperature is lowered further.Jan 29, 2014

What is freezing point depression?

Freezing point depression occurs when the freezing point of a liquid is lowered or depressed by adding another compound to it. The solution has a lower freezing point than that of the pure solvent .

Why does vodka freeze in a freezer?

When salt is put on an icy road, the salt mixes with a small amount of liquid water to prevent melting ice from re-freezing. If you mix salt and ice in a bowl or bag, the same process makes the ice colder, which means it can be used for making ice cream. Freezing point depression also explains why vodka doesn't freeze in a freezer.

Is the freezing point of seawater lower than that of pure water?

For example, the freezing point of seawater is lower than that of pure water. The freezing point of water to which antifreeze has been added is lower than that of pure water.

Answer

"Depression in freezing point is used to prevent car fuel from freezing by adding anti-freeze." The antifreeze also causes an elevation in the boiling point, so it helped with a car overheating in the summer. In the USA, there was an antifreeze called Prestone that advertised itself as "winder-summer protection." Hope this helped! (:

New questions in Chemistry

A tank is filled with 500 g of ozone (O3 (g)) at -58.75°C. The pressure inside the tank is 8500 kPa. Calculate the volume (in L) of the tank.

What is freezing point depression?

The freezing point may be defined as the temperature at which the liquid and solid states of a substance have the same vapor pressure. It is observed that the freezing point of a solution is always less than the freezing point of the pure solvent. This is termed as the “depression in freezing ...

What is the effect of solutes on the freezing point of a solution?

Hence, the addition of solute molecules lowers the vapor pressure of the solution, which in turn lowers the freezing point of a solution , and this is known as “depression in the freezing point of a solution”. It is a colligative property, which is observed in solutions that result from the introduction of solute molecules.

Why doesn't vodka freeze?

Vodka primarily contains water and ethanol. Pure water freezes at 0°C, and pure ethanol freezes at -114°C. Vodka does freezes but not at the temperature of the ordinary freezer. This is because it contains enough alcohol, which lowers the freezing point of water below -17°C of the ordinary freezer. This is the freezing point depression phenomenon, which accounts for the lowering of the freezing temperature of vodka.

How to control ice crystal formation?

The second way to control ice crystal formation is by changing how fast the water freezes because if we freeze our ice crystals quickly, then we get bigger and bigger crystals. This is done by adding salt to ice, which lowers its freezing temperature because of depression in the freezing point of a solution phenomenon. 2.

What are the proteins that bind to ice crystals in the blood?

Animals living in cold climates have natural antifreeze proteins ( AFPs), which bind to ice crystals in their blood to prevent crystallization. AFPs are extremely efficient at inhibiting ice recrystallization in frozen solutions. This is an important function of the proteins in freeze-tolerant organisms.

What are AFPs found in?

AFPs have been found in various organisms, such as marine fishes, freeze-avoiding insects, and other terrestrial arthropods. Organisms also produce relatively inert molecules, such as glycerol and other polyhydric alcohols, such as sorbitol and ribitol, which helps in decreasing the freezing point of the water in their bodies.

What coolant is used in automobiles to prevent freezing up of water in extremely cold climates?

4. Radiator fluids in Automobiles. Radiator fluid might be an antifreeze coolant , which is used in automobiles to prevent freezing up of water in extremely cold climates. Antifreeze lowers the temperature of water in the car radiator so that it won’t freeze, even when the temperature reaches below 0°C. 5.

Is cryoscopy used for organic compounds?

In this case, i must be known, and the procedure is primarily useful for organic compounds using a nonpolar solvent. Cryoscopy is no longer as common a measurement method as it once was, but it was included in textbooks at the turn of the 20th century.

Does salting ice lower the freezing point?

Road salting takes advantage of this effect to lower the freezing point of the ice it is placed on. Lowering the freezing point allows the street ice to melt at lower temperatures. The maximum depression of the freezing point is about −18 °C (−0 °F), so if the ambient temperature is lower, salt (sodium chloride) will be ineffective.

Does solute cause water to freeze?

This elevated concentration of solute decreases the freezing point of the water inside them, preventing the organism from freezing solid even as the water around them freezes, or the air around them is very cold.

Popular Posts:

1. renaissance discount tickets mn

2. oil tank capacity calculator

3. two car garage plans 24x24

4. costco online n95 masks

5. will citric acid clean aluminum

6. renaissance faire in manheim pa

7. 150x50 cm to inches

8. how long do i cook frozen crab cakes in air fryer

9. small porch decorating ideas

10. what kind of wood is 2x4 stud

Params
0	`post`
1	`postContent`
2	`author`
3	`updated_at`
4	`bing_rich_snippet_text`
5	`bing_rich_snippet_link`
6	`bing_related_keywords`
7	`google_related_keywords`
8	`bing_news_title`
9	`bing_news_description`
10	`bing_videos`
11	`bing_images`
12	`bing_search_result_title`
13	`bing_search_result_description`
14	`bing_search_result_url`
15	`bing_paa_questions`
16	`bing_paa_answers`
17	`bing_slider_faq_questions`
18	`bing_slider_faq_answers`
19	`bing_pop_faq_questions`
20	`bing_pop_faq_answers`
21	`bing_tab_faq_questions`
22	`bing_tab_faq_answers`
23	`google_faq_questions`
24	`google_faq_answers`
25	`google_rich_snippet`
26	`google_search_result`
27	`indexedArray`
28	`total_images`
29	`total_videos`
30	`settings`
31	`url_current`
32	`menus`
33	`sidebar`

Params

post

postContent

author

updated_at

bing_rich_snippet_text

bing_rich_snippet_link

bing_related_keywords

google_related_keywords

bing_news_title

bing_news_description

bing_videos

bing_images

bing_search_result_title

bing_search_result_description

bing_search_result_url

bing_paa_questions

bing_paa_answers

bing_slider_faq_questions

bing_slider_faq_answers

bing_pop_faq_questions

bing_pop_faq_answers

bing_tab_faq_questions

bing_tab_faq_answers

google_faq_questions

google_faq_answers

google_rich_snippet

google_search_result

indexedArray

total_images

total_videos

settings

url_current

menus

sidebar

Params
0	`__env`
1	`app`
2	`errors`
3	`post`
4	`postContent`
5	`author`
6	`updated_at`
7	`bing_rich_snippet_text`
8	`bing_rich_snippet_link`
9	`bing_related_keywords`
10	`google_related_keywords`
11	`bing_news_title`
12	`bing_news_description`
13	`bing_videos`
14	`bing_images`
15	`bing_search_result_title`
16	`bing_search_result_description`
17	`bing_search_result_url`
18	`bing_paa_questions`
19	`bing_paa_answers`
20	`bing_slider_faq_questions`
21	`bing_slider_faq_answers`
22	`bing_pop_faq_questions`
23	`bing_pop_faq_answers`
24	`bing_tab_faq_questions`
25	`bing_tab_faq_answers`
26	`google_faq_questions`
27	`google_faq_answers`
28	`google_rich_snippet`
29	`google_search_result`
30	`indexedArray`
31	`total_images`
32	`total_videos`
33	`settings`
34	`url_current`
35	`menus`
36	`sidebar`
37	`i`
38	`__currentLoopData`
39	`loop`
40	`item`

Params

__env

app

errors

post

postContent

author

updated_at

bing_rich_snippet_text

bing_rich_snippet_link

bing_related_keywords

google_related_keywords

bing_news_title

bing_news_description

bing_videos

bing_images

bing_search_result_title

bing_search_result_description

bing_search_result_url

bing_paa_questions

bing_paa_answers

bing_slider_faq_questions

bing_slider_faq_answers

bing_pop_faq_questions

bing_pop_faq_answers

bing_tab_faq_questions

bing_tab_faq_answers

google_faq_questions

google_faq_answers

google_rich_snippet

google_search_result

indexedArray

total_images

total_videos

settings

url_current

menus

sidebar

__currentLoopData

loop

item

Params
0	`__env`
1	`app`
2	`errors`
3	`post`
4	`postContent`
5	`author`
6	`updated_at`
7	`bing_rich_snippet_text`
8	`bing_rich_snippet_link`
9	`bing_related_keywords`
10	`google_related_keywords`
11	`bing_news_title`
12	`bing_news_description`
13	`bing_videos`
14	`bing_images`
15	`bing_search_result_title`
16	`bing_search_result_description`
17	`bing_search_result_url`
18	`bing_paa_questions`
19	`bing_paa_answers`
20	`bing_slider_faq_questions`
21	`bing_slider_faq_answers`
22	`bing_pop_faq_questions`
23	`bing_pop_faq_answers`
24	`bing_tab_faq_questions`
25	`bing_tab_faq_answers`
26	`google_faq_questions`
27	`google_faq_answers`
28	`google_rich_snippet`
29	`google_search_result`
30	`indexedArray`
31	`total_images`
32	`total_videos`
33	`settings`
34	`url_current`
35	`menus`
36	`sidebar`
37	`i`
38	`__currentLoopData`
39	`loop`
40	`item`

Params

__env

app

errors

post

postContent

author

updated_at

bing_rich_snippet_text

bing_rich_snippet_link

bing_related_keywords

google_related_keywords

bing_news_title

bing_news_description

bing_videos

bing_images

bing_search_result_title

bing_search_result_description

bing_search_result_url

bing_paa_questions

bing_paa_answers

bing_slider_faq_questions

bing_slider_faq_answers

bing_pop_faq_questions

bing_pop_faq_answers

bing_tab_faq_questions

bing_tab_faq_answers

google_faq_questions

google_faq_answers

google_rich_snippet

google_search_result

indexedArray

total_images

total_videos

settings

url_current

menus

sidebar

__currentLoopData

loop

item

Params
0	`__env`
1	`app`
2	`errors`
3	`post`
4	`postContent`
5	`author`
6	`updated_at`
7	`bing_rich_snippet_text`
8	`bing_rich_snippet_link`
9	`bing_related_keywords`
10	`google_related_keywords`
11	`bing_news_title`
12	`bing_news_description`
13	`bing_videos`
14	`bing_images`
15	`bing_search_result_title`
16	`bing_search_result_description`
17	`bing_search_result_url`
18	`bing_paa_questions`
19	`bing_paa_answers`
20	`bing_slider_faq_questions`
21	`bing_slider_faq_answers`
22	`bing_pop_faq_questions`
23	`bing_pop_faq_answers`
24	`bing_tab_faq_questions`
25	`bing_tab_faq_answers`
26	`google_faq_questions`
27	`google_faq_answers`
28	`google_rich_snippet`
29	`google_search_result`
30	`indexedArray`
31	`total_images`
32	`total_videos`
33	`settings`
34	`url_current`
35	`menus`
36	`sidebar`
37	`i`
38	`__currentLoopData`
39	`loop`
40	`item`

Params

__env

app

errors

post

postContent

author

updated_at

bing_rich_snippet_text

bing_rich_snippet_link

bing_related_keywords

google_related_keywords

bing_news_title

bing_news_description

bing_videos

bing_images

bing_search_result_title

bing_search_result_description

bing_search_result_url

bing_paa_questions

bing_paa_answers

bing_slider_faq_questions

bing_slider_faq_answers

bing_pop_faq_questions

bing_pop_faq_answers

bing_tab_faq_questions

bing_tab_faq_answers

google_faq_questions

google_faq_answers

google_rich_snippet

google_search_result

indexedArray

total_images

total_videos

settings

url_current

menus

sidebar

__currentLoopData

loop

item

Params
0	`__env`
1	`app`
2	`errors`
3	`post`
4	`postContent`
5	`author`
6	`updated_at`
7	`bing_rich_snippet_text`
8	`bing_rich_snippet_link`
9	`bing_related_keywords`
10	`google_related_keywords`
11	`bing_news_title`
12	`bing_news_description`
13	`bing_videos`
14	`bing_images`
15	`bing_search_result_title`
16	`bing_search_result_description`
17	`bing_search_result_url`
18	`bing_paa_questions`
19	`bing_paa_answers`
20	`bing_slider_faq_questions`
21	`bing_slider_faq_answers`
22	`bing_pop_faq_questions`
23	`bing_pop_faq_answers`
24	`bing_tab_faq_questions`
25	`bing_tab_faq_answers`
26	`google_faq_questions`
27	`google_faq_answers`
28	`google_rich_snippet`
29	`google_search_result`
30	`indexedArray`
31	`total_images`
32	`total_videos`
33	`settings`
34	`url_current`
35	`menus`
36	`sidebar`
37	`i`
38	`__currentLoopData`
39	`loop`
40	`item`

Params

__env

app

errors

post

postContent

author

updated_at

bing_rich_snippet_text

bing_rich_snippet_link

bing_related_keywords

google_related_keywords

bing_news_title

bing_news_description

bing_videos

bing_images

bing_search_result_title

bing_search_result_description

bing_search_result_url

bing_paa_questions

bing_paa_answers

bing_slider_faq_questions

bing_slider_faq_answers

bing_pop_faq_questions

bing_pop_faq_answers

bing_tab_faq_questions

bing_tab_faq_answers

google_faq_questions

google_faq_answers

google_rich_snippet

google_search_result

indexedArray

total_images

total_videos

settings

url_current

menus

sidebar

__currentLoopData

loop

item

Params
0	`__env`
1	`app`
2	`errors`
3	`post`
4	`postContent`
5	`author`
6	`updated_at`
7	`bing_rich_snippet_text`
8	`bing_rich_snippet_link`
9	`bing_related_keywords`
10	`google_related_keywords`
11	`bing_news_title`
12	`bing_news_description`
13	`bing_videos`
14	`bing_images`
15	`bing_search_result_title`
16	`bing_search_result_description`
17	`bing_search_result_url`
18	`bing_paa_questions`
19	`bing_paa_answers`
20	`bing_slider_faq_questions`
21	`bing_slider_faq_answers`
22	`bing_pop_faq_questions`
23	`bing_pop_faq_answers`
24	`bing_tab_faq_questions`
25	`bing_tab_faq_answers`
26	`google_faq_questions`
27	`google_faq_answers`
28	`google_rich_snippet`
29	`google_search_result`
30	`indexedArray`
31	`total_images`
32	`total_videos`
33	`settings`
34	`url_current`
35	`menus`
36	`sidebar`
37	`i`
38	`__currentLoopData`
39	`loop`
40	`item`

Params

__env

app

errors

post

postContent

author

updated_at

bing_rich_snippet_text

bing_rich_snippet_link

bing_related_keywords

google_related_keywords

bing_news_title

bing_news_description

bing_videos

bing_images

bing_search_result_title

bing_search_result_description

bing_search_result_url

bing_paa_questions

bing_paa_answers

bing_slider_faq_questions

bing_slider_faq_answers

bing_pop_faq_questions

bing_pop_faq_answers

bing_tab_faq_questions

bing_tab_faq_answers

google_faq_questions

google_faq_answers

google_rich_snippet

google_search_result

indexedArray

total_images

total_videos

settings

url_current

menus

sidebar

__currentLoopData

loop

item

Params
0	`__env`
1	`app`
2	`errors`
3	`post`
4	`postContent`
5	`author`
6	`updated_at`
7	`bing_rich_snippet_text`
8	`bing_rich_snippet_link`
9	`bing_related_keywords`
10	`google_related_keywords`
11	`bing_news_title`
12	`bing_news_description`
13	`bing_videos`
14	`bing_images`
15	`bing_search_result_title`
16	`bing_search_result_description`
17	`bing_search_result_url`
18	`bing_paa_questions`
19	`bing_paa_answers`
20	`bing_slider_faq_questions`
21	`bing_slider_faq_answers`
22	`bing_pop_faq_questions`
23	`bing_pop_faq_answers`
24	`bing_tab_faq_questions`
25	`bing_tab_faq_answers`
26	`google_faq_questions`
27	`google_faq_answers`
28	`google_rich_snippet`
29	`google_search_result`
30	`indexedArray`
31	`total_images`
32	`total_videos`
33	`settings`
34	`url_current`
35	`menus`
36	`sidebar`
37	`i`
38	`__currentLoopData`
39	`loop`
40	`item`

Params

__env

app

errors

post

postContent

author

updated_at

bing_rich_snippet_text

bing_rich_snippet_link

bing_related_keywords

google_related_keywords

bing_news_title

bing_news_description

bing_videos

bing_images

bing_search_result_title

bing_search_result_description

bing_search_result_url

bing_paa_questions

bing_paa_answers

bing_slider_faq_questions

bing_slider_faq_answers

bing_pop_faq_questions

bing_pop_faq_answers

bing_tab_faq_questions

bing_tab_faq_answers

google_faq_questions

google_faq_answers

google_rich_snippet

google_search_result

indexedArray

total_images

total_videos

settings

url_current

menus

sidebar

__currentLoopData

loop

item

Metadata
Bindings	0. 2025-06-07 12:41:38 1. which-is-a-practical-application-of-freezing-point-depression
Backtrace	15. /app/Providers/RouteServiceProvider.php:54 18. /vendor/laravel/framework/src/Illuminate/Routing/Router.php:842 19. Route binding:39 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167 21. /vendor/laravel/framework/src/Illuminate/Foundation/Http/Middleware/VerifyCsrfToken.php:78

Metadata

Bindings

0. 2025-06-07 12:41:38
1. which-is-a-practical-application-of-freezing-point-depression

Backtrace

15. /app/Providers/RouteServiceProvider.php:54
18. /vendor/laravel/framework/src/Illuminate/Routing/Router.php:842
19. Route binding:39
20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
21. /vendor/laravel/framework/src/Illuminate/Foundation/Http/Middleware/VerifyCsrfToken.php:78

Metadata
Bindings	0. 157750 1. 0
Backtrace	19. middleware::checkdate:30 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167 21. /vendor/laravel/jetstream/src/Http/Middleware/ShareInertiaData.php:61 22. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167 23. /vendor/laravel/framework/src/Illuminate/Routing/Middleware/SubstituteBindings.php:50

Metadata

Bindings

0. 157750
1. 0

Backtrace

19. middleware::checkdate:30
20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
21. /vendor/laravel/jetstream/src/Http/Middleware/ShareInertiaData.php:61
22. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
23. /vendor/laravel/framework/src/Illuminate/Routing/Middleware/SubstituteBindings.php:50

Metadata
Bindings	0. header
Backtrace	15. /vendor/outl1ne/nova-menu-builder/src/helpers.php:32 17. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54 18. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261 20. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205

Metadata

Bindings

0. header

Backtrace

15. /vendor/outl1ne/nova-menu-builder/src/helpers.php:32
17. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
18. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
20. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205

Metadata
Bindings	0. 1
Backtrace	19. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35 20. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33 22. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54 23. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45 24. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261

Metadata

Bindings

0. 1

Backtrace

19. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
20. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
22. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
23. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
24. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261

Metadata
Backtrace	24. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35 25. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33 27. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54 28. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45 29. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261

Metadata

Backtrace

24. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
25. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
27. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
28. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
29. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261

Metadata
Bindings	0. publish
Backtrace	14. /app/View/Composers/SidebarView.php:22 15. /app/View/Composers/SidebarView.php:12 16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124 17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162 20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177

Metadata

Bindings

0. publish

Backtrace

14. /app/View/Composers/SidebarView.php:22
15. /app/View/Composers/SidebarView.php:12
16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177

Metadata
Bindings	0. 25713
Backtrace	21. view::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15 23. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108 24. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 25. /vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69 26. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61

Metadata

Bindings

0. 25713

Backtrace

21. view::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15
23. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
24. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
25. /vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
26. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61

0 of 0

array:25 [▼"cookie" => array:1 [▶ 0 => "_pk_id.64.7c30=024225c207397e60.1749280296.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6IkpVNkorQWNVRzc3T05jMUpPOGNWVWc9PSIsInZhbHVlIjoiSHd6TmxjNVIrWnhKaFF1Y2IrMldYZUZGc3FZSmRFVmtGaFBUOHl4aEJOa2t4VUpqMTNhN1dXOGtnc2xMUldzOUpyRllIMzI5UmtGVVByb09GamxnZVlvQytHcHl5dk9ZNldzWDhNVWhPRWt1TTg0T2ptQXJnOFFmaitUVGwrWEciLCJtYWMiOiIyY2VmYWQ5OTRmYzdmZDhhYjY4MDBhMTJhZTFkNzJiMjVlMDljYmRmZjc1MjQzMDRjOTc5NmQ1MTIxMjVhMWU1IiwidGFnIjoiIn0%3D; askhelpdesk_session=eyJpdiI6InJsenp4VjFaYm1CcnJPSDB0bzYwT2c9PSIsInZhbHVlIjoiL1NyMHh3N2ZZT1ZTU0xsSFpRSWE3RFBKWDNnVnhpd1F0RCtUNE1malpLc2tGYitLMG9UU1JLWFo2OTNXQW5ZYzJBSDRDcU5Oc0Y2STc0ZC9OczB2N0dEZVFXTzRKSldqblNBY0xmeUJpVEVvdEhFODlMd2tHdy9Xaml5KzJrWEoiLCJtYWMiOiJhOTEwZTA3ZDQxZWY3ODM0NmIzOWY3NzMxZTNkNWJkNTExMGI5N2Y5M2MzYzVmNDFkYTJjOGI2YTJmZjU5ZGFkIiwidGFnIjoiIn0%3D ◀_pk_id.64.7c30=024225c207397e60.1749280296.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6IkpVNkorQWNVRzc3T05jMUpPOGNWVWc9PSIsInZhbHVlIjoiSHd6TmxjNVIrWnhKaFF1Y2IrMldYZ ▶" ] "cf-ipcountry" => array:1 [▶ 0 => "US" ] "cf-connecting-ip" => array:1 [▶ 0 => "216.73.216.226" ] "cdn-loop" => array:1 [▶ 0 => "cloudflare; loops=1" ] "sec-fetch-mode" => array:1 [▶ 0 => "navigate" ] "sec-fetch-site" => array:1 [▶ 0 => "none" ] "accept" => array:1 [▶ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [▶ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [▶ 0 => "1" ] "sec-ch-ua-platform" => array:1 [▶ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [▶ 0 => "?0" ] "sec-ch-ua" => array:1 [▶ 0 => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" ] "cache-control" => array:1 [▶ 0 => "no-cache" ] "pragma" => array:1 [▶ 0 => "no-cache" ] "accept-encoding" => array:1 [▶ 0 => "gzip, br" ] "cf-ray" => array:1 [▶ 0 => "94be56264a12630c-ORD" ] "priority" => array:1 [▶ 0 => "u=0, i" ] "sec-fetch-dest" => array:1 [▶ 0 => "document" ] "sec-fetch-user" => array:1 [▶ 0 => "?1" ] "cf-visitor" => array:1 [▶ 0 => "{"scheme":"https"}" ] "connection" => array:1 [▶ 0 => "close" ] "x-forwarded-proto" => array:1 [▶ 0 => "https" ] "x-forwarded-for" => array:1 [▶ 0 => "216.73.216.226, 172.70.178.108" ] "x-server-addr" => array:1 [▶ 0 => "154.12.239.204" ] "host" => array:1 [▶ 0 => "receivinghelpdesk.com" ]]

0 of 0

array:56 [▼"USER" => "runcloud" "HOME" => "/home/runcloud" "SCRIPT_NAME" => "/ask/index.php" "REQUEST_URI" => "/ask/which-is-a-practical-application-of-freezing-point-depression" "QUERY_STRING" => "" "REQUEST_METHOD" => "GET" "SERVER_PROTOCOL" => "HTTP/1.0" "GATEWAY_INTERFACE" => "CGI/1.1" "REDIRECT_URL" => "/ask/which-is-a-practical-application-of-freezing-point-depression" "REMOTE_PORT" => "57866" "SCRIPT_FILENAME" => "/home/runcloud/webapps/ReceivingHelpDesk/ask/index.php" "SERVER_ADMIN" => "you@example.com" "CONTEXT_DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/" "CONTEXT_PREFIX" => "" "REQUEST_SCHEME" => "http" "DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/" "REMOTE_ADDR" => "172.70.178.108" "SERVER_PORT" => "80" "SERVER_ADDR" => "127.0.0.1" "SERVER_NAME" => "receivinghelpdesk.com" "SERVER_SOFTWARE" => "Apache/2.4.63 (Unix) OpenSSL/1.1.1f" "SERVER_SIGNATURE" => "" "LD_LIBRARY_PATH" => "/RunCloud/Packages/apache2-rc/lib" "PATH" => "/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin" "HTTP_COOKIE" => "_pk_id.64.7c30=024225c207397e60.1749280296.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6IkpVNkorQWNVRzc3T05jMUpPOGNWVWc9PSIsInZhbHVlIjoiSHd6TmxjNVIrWnhKaFF1Y2IrMldYZUZGc3FZSmRFVmtGaFBUOHl4aEJOa2t4VUpqMTNhN1dXOGtnc2xMUldzOUpyRllIMzI5UmtGVVByb09GamxnZVlvQytHcHl5dk9ZNldzWDhNVWhPRWt1TTg0T2ptQXJnOFFmaitUVGwrWEciLCJtYWMiOiIyY2VmYWQ5OTRmYzdmZDhhYjY4MDBhMTJhZTFkNzJiMjVlMDljYmRmZjc1MjQzMDRjOTc5NmQ1MTIxMjVhMWU1IiwidGFnIjoiIn0%3D; askhelpdesk_session=eyJpdiI6InJsenp4VjFaYm1CcnJPSDB0bzYwT2c9PSIsInZhbHVlIjoiL1NyMHh3N2ZZT1ZTU0xsSFpRSWE3RFBKWDNnVnhpd1F0RCtUNE1malpLc2tGYitLMG9UU1JLWFo2OTNXQW5ZYzJBSDRDcU5Oc0Y2STc0ZC9OczB2N0dEZVFXTzRKSldqblNBY0xmeUJpVEVvdEhFODlMd2tHdy9Xaml5KzJrWEoiLCJtYWMiOiJhOTEwZTA3ZDQxZWY3ODM0NmIzOWY3NzMxZTNkNWJkNTExMGI5N2Y5M2MzYzVmNDFkYTJjOGI2YTJmZjU5ZGFkIiwidGFnIjoiIn0%3D ◀_pk_id.64.7c30=024225c207397e60.1749280296.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6IkpVNkorQWNVRzc3T05jMUpPOGNWVWc9PSIsInZhbHVlIjoiSHd6TmxjNVIrWnhKaFF1Y2IrMldYZ ▶" "HTTP_CF_IPCOUNTRY" => "US" "HTTP_CF_CONNECTING_IP" => "216.73.216.226" "HTTP_CDN_LOOP" => "cloudflare; loops=1" "HTTP_SEC_FETCH_MODE" => "navigate" "HTTP_SEC_FETCH_SITE" => "none" "HTTP_ACCEPT" => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" "HTTP_USER_AGENT" => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" "HTTP_UPGRADE_INSECURE_REQUESTS" => "1" "HTTP_SEC_CH_UA_PLATFORM" => ""Windows"" "HTTP_SEC_CH_UA_MOBILE" => "?0" "HTTP_SEC_CH_UA" => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" "HTTP_CACHE_CONTROL" => "no-cache" "HTTP_PRAGMA" => "no-cache" "HTTP_ACCEPT_ENCODING" => "gzip, br" "HTTP_CF_RAY" => "94be56264a12630c-ORD" "HTTP_PRIORITY" => "u=0, i" "HTTP_SEC_FETCH_DEST" => "document" "HTTP_SEC_FETCH_USER" => "?1" "HTTP_CF_VISITOR" => "{"scheme":"https"}" "HTTP_CONNECTION" => "close" "HTTP_X_FORWARDED_PROTO" => "https" "HTTP_X_FORWARDED_FOR" => "216.73.216.226, 172.70.178.108" "HTTP_X_SERVER_ADDR" => "154.12.239.204" "HTTP_HOST" => "receivinghelpdesk.com" "HTTPS" => "on" "REDIRECT_STATUS" => "200" "REDIRECT_HTTPS" => "on" "FCGI_ROLE" => "RESPONDER" "PHP_SELF" => "/ask/index.php" "REQUEST_TIME_FLOAT" => 1749280297.9802 "REQUEST_TIME" => 1749280297]

0 of 0

array:4 [▼"_pk_id_64_7c30" => null "_pk_ses_64_7c30" => null "XSRF-TOKEN" => "uJD2BWXflkvQQFS3HAgYAVUIoXmCXA9O2VdofqVa" "askhelpdesk_session" => "QirfIPmRdiWsuWj2H7zQPXtu6ttvYSf6K1QTVUOZ"]

0 of 0

array:7 [▼"content-type" => array:1 [▶ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [▶ 0 => "private, must-revalidate" ] "date" => array:1 [▶ 0 => "Sat, 07 Jun 2025 07:11:38 GMT" ] "pragma" => array:1 [▶ 0 => "no-cache" ] "expires" => array:1 [▶ 0 => -1 ] "set-cookie" => array:2 [▶ 0 => "XSRF-TOKEN=eyJpdiI6Ik5ZVmtndDMwMmpoeEtxb3dCUHd4cGc9PSIsInZhbHVlIjoiTVhFNm1ORnpVbk85djVRVnlaSkUwOFRlVnY4UTNrNThKOVIxUFdtL0hHNjhCN2JveEFtUmNIRDZORHc0MzUvT3Mya2h6VDBjb1ZYMWlrRm8zL054SFRIdmdYYnpuM0lmcU9DN1RzeE1NcnAvTVM0Szc1dzVBTjh5QjJiMEU0Q1AiLCJtYWMiOiIxODExNjA4YzkyNjJmOTg1ZWE3ZTZiNmI0YWExNjRiYjU5NmI5NDFlYzgyMWRmMTgxZmRmZGE1MDcwN2IyNDllIiwidGFnIjoiIn0%3D; expires=Sat, 07-Jun-2025 09:11:38 GMT; Max-Age=7200; path=/; samesite=lax ◀XSRF-TOKEN=eyJpdiI6Ik5ZVmtndDMwMmpoeEtxb3dCUHd4cGc9PSIsInZhbHVlIjoiTVhFNm1ORnpVbk85djVRVnlaSkUwOFRlVnY4UTNrNThKOVIxUFdtL0hHNjhCN2JveEFtUmNIRDZORHc0MzUvT3Mya2h6V ▶" 1 => "askhelpdesk_session=eyJpdiI6Ikp5T0E5Sk1lY3lpdGY3aGVBYVpoVFE9PSIsInZhbHVlIjoicDJFNXcrWGU3b0g0QUgvT3dnMXV3ZG1RQ3I1c1p0NFBYVlZic1BGSDhZbVBuK1JGUXVRQzNYZ2VDaDRHaUU2Qzg0RFdZVm5TVWtBL2hIZi90M0FMVzg3cC9rZHRzVjFMMGJKY2p0anRLZVpGM1pSSEZMcDNseFBYMVNScnZXbW0iLCJtYWMiOiJkZDdmZDNhZWU3NzJjMWRhZTY2YTk2ZTA5MmNmN2I4NGEwYjJmZThkYzAwMGI5MmVmYmJkYmMzZGU0ZmRlYzI0IiwidGFnIjoiIn0%3D; expires=Sat, 07-Jun-2025 09:11:38 GMT; Max-Age=7200; path=/; httponly; samesite=lax ◀askhelpdesk_session=eyJpdiI6Ikp5T0E5Sk1lY3lpdGY3aGVBYVpoVFE9PSIsInZhbHVlIjoicDJFNXcrWGU3b0g0QUgvT3dnMXV3ZG1RQ3I1c1p0NFBYVlZic1BGSDhZbVBuK1JGUXVRQzNYZ2VDaDRHaUU2 ▶" ] "Set-Cookie" => array:2 [▶ 0 => "XSRF-TOKEN=eyJpdiI6Ik5ZVmtndDMwMmpoeEtxb3dCUHd4cGc9PSIsInZhbHVlIjoiTVhFNm1ORnpVbk85djVRVnlaSkUwOFRlVnY4UTNrNThKOVIxUFdtL0hHNjhCN2JveEFtUmNIRDZORHc0MzUvT3Mya2h6VDBjb1ZYMWlrRm8zL054SFRIdmdYYnpuM0lmcU9DN1RzeE1NcnAvTVM0Szc1dzVBTjh5QjJiMEU0Q1AiLCJtYWMiOiIxODExNjA4YzkyNjJmOTg1ZWE3ZTZiNmI0YWExNjRiYjU5NmI5NDFlYzgyMWRmMTgxZmRmZGE1MDcwN2IyNDllIiwidGFnIjoiIn0%3D; expires=Sat, 07-Jun-2025 09:11:38 GMT; path=/ ◀XSRF-TOKEN=eyJpdiI6Ik5ZVmtndDMwMmpoeEtxb3dCUHd4cGc9PSIsInZhbHVlIjoiTVhFNm1ORnpVbk85djVRVnlaSkUwOFRlVnY4UTNrNThKOVIxUFdtL0hHNjhCN2JveEFtUmNIRDZORHc0MzUvT3Mya2h6V ▶" 1 => "askhelpdesk_session=eyJpdiI6Ikp5T0E5Sk1lY3lpdGY3aGVBYVpoVFE9PSIsInZhbHVlIjoicDJFNXcrWGU3b0g0QUgvT3dnMXV3ZG1RQ3I1c1p0NFBYVlZic1BGSDhZbVBuK1JGUXVRQzNYZ2VDaDRHaUU2Qzg0RFdZVm5TVWtBL2hIZi90M0FMVzg3cC9rZHRzVjFMMGJKY2p0anRLZVpGM1pSSEZMcDNseFBYMVNScnZXbW0iLCJtYWMiOiJkZDdmZDNhZWU3NzJjMWRhZTY2YTk2ZTA5MmNmN2I4NGEwYjJmZThkYzAwMGI5MmVmYmJkYmMzZGU0ZmRlYzI0IiwidGFnIjoiIn0%3D; expires=Sat, 07-Jun-2025 09:11:38 GMT; path=/; httponly ◀askhelpdesk_session=eyJpdiI6Ikp5T0E5Sk1lY3lpdGY3aGVBYVpoVFE9PSIsInZhbHVlIjoicDJFNXcrWGU3b0g0QUgvT3dnMXV3ZG1RQ3I1c1p0NFBYVlZic1BGSDhZbVBuK1JGUXVRQzNYZ2VDaDRHaUU2 ▶" ]]

0 of 0

array:4 [▼"_token" => "uJD2BWXflkvQQFS3HAgYAVUIoXmCXA9O2VdofqVa" "_previous" => array:1 [▶ "url" => "https://receivinghelpdesk.com/ask/which-is-a-practical-application-of-freezing-point-depression" ] "_flash" => array:2 [▶ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => []]

1 x Application (95.16%)	302.39ms
1 x Booting (4.69%)	14.90ms