Receiving Helpdesk

what is the weighted average atomic mass of copper

by Miss Eden Stroman I Published 3 years ago Updated 2 years ago

What is the weighted average atomic mass of copper?

Atomic Number Symbol Atomic Weight (amu, g/mol)
29 Cu 63.546
30 Zn 65.38
31 Ga 69.72
32 Ge 72.59
Jun 15 2022

63.54

Full Answer

How do you calculate the atomic mass of copper?

What are the first 40 elements?

  • Hydrogen. H 1.
  • Helium. He 2.
  • Lithium. Li 3.
  • Beryllium. Be 4.
  • Boron. B 5.
  • Carbon. C 6.
  • Nitrogen. N 7.
  • Oxygen. O 8.

Which element has the lowest atomic weight silver or copper?

Copper pyrite is the principal ore, and yields nearly 76% of the world production of copper. Silver is found in native form, as an alloy with gold ( electrum ), and in ores containing sulfur, arsenic, antimony or chlorine. Ores include argentite (Ag 2 S), chlorargyrite (AgCl) which includes horn silver, and pyrargyrite (Ag 3 SbS 3 ).

What is the relative atomic mass of copper?

Copper–63 is the stable isotope of copper with relative atomic mass 62.929601, 69.2 atom percent natural abundance and nuclear spin 3/2. A heavy metal trace element with the atomic symbol Cu, atomic number 29, and atomic weight 63.55.

What type of metal has the lowest atomic weight?

The density of metals ranges from Osmium at the highest density to lithium at the lowest density of any metal.. Knowing the periodic table is key for most scientists. But just merely knowing the name of each and every one of the elements is not enough.

What is the average weighted mass of copper?

63.55 amuCopper has two isotopes, 63Cu (69.15%, mass=62.9300 amu) and 65Cu (30.85%, mass = 64.928 amu), and so the respective mole fractions are 0.6915 and 0.3085, resulting in an average atomic weight of 63.55 amu, even though there is not a single atom that weighs 63.55 amu.

How do you calculate the weighted average atomic mass of copper?

Solution. The average atomic mass of an element is calculated by taking the weighted average of the atomic masses of its naturally-occurring isotopes. The atomic masses of these two copper isotopes are 62.93 uand 64.93 u , respectively.

How do you calculate weighted average mass?

To find a weighted average, multiply each number by its weight, then add the results. If the weights don't add up to one, find the sum of all the variables multiplied by their weight, then divide by the sum of the weights.

What is the weighted average of the atomic mass?

The average atomic mass (sometimes called atomic weight) of an element is the weighted average mass of the atoms in a naturally occurring sample of the element. Average masses are generally expressed in unified atomic mass units (u), where 1 u is equal to exactly one-twelfth the mass of a neutral atom of carbon-12.

What is the equivalent weight of copper?

Equivalent weight of copper = 63.55 g.

What is weighted average with example?

For example, say an investor acquires 100 shares of a company in year one at $10, and 50 shares of the same stock in year two at $40. To get a weighted average of the price paid, the investor multiplies 100 shares by $10 for year one and 50 shares by $40 for year two, and then adds the results to get a total of $3,000.

How do you calculate weighted mean?

The Weighted mean is calculated by multiplying the weight with the quantitative outcome associated with it and then adding all the products together. If all the weights are equal, then the weighted mean and arithmetic mean will be the same.

How is atomic weight calculated?

The atomic weight of any atom can be found by multiplying the abundance of an isotope of an element by the atomic mass of the element and then adding the results together. This equation can be used with elements with two or more isotopes: Carbon-12: 0.9889 x 12.0000 = 11.8668. Carbon-13: 0.0111 x 13.0034 = 0.1443.

What is the formula for average atomic weight?

In order to solve this dilemma, we define the atomic weight as the weighted average mass of all naturally occurring (occasionally radioactive) isotopes of the element. Atomic Weight=(% abundance isotope 1100)×(mass of isotope 1)+(% abundance isotope 2100)×(mass of isotope 2) + ...

How Do You Solve average atomic mass problems?

0:3810:18Average Atomic Mass Practice Problems - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo the equation that you need to calculate the average atomic mass is equal to the mass of theMoreSo the equation that you need to calculate the average atomic mass is equal to the mass of the isotope. Times its percentage in the form of a decimal plus m2 p2.

Is Cu 63 or Cu 65 more abundant?

Copper: Physiology Cu has 29 isotopes, two stable isotopes (63Cu and 65Cu), and 27 radioisotopes. The most abundant isotope is 63Cu that accounts for approximately 69% of naturally occurring Cu.

Atomic Mass

  • The atomic mass of an element is the mass of an atom relative to the mass of a carbon-12 atom. This value is determined by measuring the average atomic mass of an element’s isotopes. The most common isotope of carbon is carbon-12, which has a mass of 12 AMU. Other isotopes of carbon have masses that are either greater or less than 12 amu. By compar...
See more on higheducations.com

Average Atomic Mass

  • What’s the average atomic mass of an element? The average atomic mass is the weighted average of the atomic masses of the naturally-occurring isotopes of that element. The calculation takes into account the relative abundance of each isotope. The most common isotope is given a weight of 1, and all other isotopes are given a weight that is in proportion to their natural abunda…
See more on higheducations.com

Calculating The Average Atomic Mass

  • The average atomic mass of an element is the weighted average of the masses of the isotopes of the element. The calculation takes into account how often each isotope occurs in nature. The calculation can be done using a calculator or a spreadsheet. To calculate the average atomic mass, you need to know the masses of the isotopes and their relative abundances. You can find …
See more on higheducations.com

The Average Atomic Mass Formula

  • The average atomic mass of an element is determined by the masses of its isotopes and their respective abundances. To calculate the average atomic mass, you need to know the masses of the isotopes and their relative abundances. The formula for the average atomic mass is: f1M1 + f2M2 +… + fnMn Where m is the mass of an atom, A is the atomic number, and n is the number o…
See more on higheducations.com

FAQs

  • Q: What is 1 atomic mass unit equal to? A: The atomic mass unit, or amu, is a measurement of the mass of an atom. One amu is equivalent to the mass of one proton or one neutron. The AMU is a relatively small unit of measurement, so scientists often use larger units to measure atomic masses. For example, the atomic mass of oxygen is 16 amu, but it is more commonly expresse…
See more on higheducations.com

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 1 2 3 4 5 6 7 8 9
8.3.21PHP Version1.17sRequest Duration2MBMemory UsageGET {post}Route
  • warninglog[20:01:59] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
  • warninglog[20:01:59] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
  • warninglog[20:01:59] LOG.warning: Callables of the form ["Swift_SmtpTransport", "Swift_Transport_EsmtpTranspor...
  • warninglog[20:01:59] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
  • warninglog[20:01:59] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
  • warninglog[20:01:59] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[20:01:59] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[20:01:59] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[20:01:59] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • Booting (12.18ms)
  • Application (1.16s)
  • 1 x Application (98.92%)
    1.16s
    1 x Booting (1.04%)
    12.18ms
    7 templates were rendered
    • themes.DevBlog.content.post (resources/views/themes/DevBlog/content/post.blade.php)34blade
      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
    • themes.DevBlog.layouts.master (resources/views/themes/DevBlog/layouts/master.blade.php)41blade
      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
    • themes.DevBlog.panels.head (resources/views/themes/DevBlog/panels/head.blade.php)41blade
      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
    • themes.DevBlog.panels.header (resources/views/themes/DevBlog/panels/header.blade.php)41blade
      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
    • themes.DevBlog.panels.navbar (resources/views/themes/DevBlog/panels/navbar.blade.php)41blade
      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
    • themes.DevBlog.panels.footer (resources/views/themes/DevBlog/panels/footer.blade.php)41blade
      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
    • themes.DevBlog.panels.scripts (resources/views/themes/DevBlog/panels/scripts.blade.php)41blade
      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
    uri
    GET {post}
    middleware
    web, checkdate
    as
    post.show
    controller
    App\Http\Controllers\Frontend\json_data\PostController@show
    namespace
    where
    file
    app/Http/Controllers/Frontend/json_data/PostController.php:18-166
    7 statements were executed1.14s
    • select * from `posts` where `published_at` <= '2025-06-14 20:01:59' and `slug` = 'what-is-the-weighted-average-atomic-mass-of-copper' and `posts`.`deleted_at` is null limit 1
      2.51ms/app/Providers/RouteServiceProvider.php:54receivinghelpdeskask
      Metadata
      Bindings
      • 0. 2025-06-14 20:01:59
      • 1. what-is-the-weighted-average-atomic-mass-of-copper
      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
    • select * from `json_post_contents` where `json_post_contents`.`post_id` = 194444 and `json_post_contents`.`post_id` is not null and `rewrite_id` = 0
      7.78msmiddleware::checkdate:30receivinghelpdeskask
      Metadata
      Bindings
      • 0. 194444
      • 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
    • select * from `nova_menu_menus` where `slug` = 'header' limit 1
      390μs/vendor/outl1ne/nova-menu-builder/src/helpers.php:32receivinghelpdeskask
      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
    • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`menu_id` = 1 and `nova_menu_menu_items`.`menu_id` is not null and `parent_id` is null order by `parent_id` asc, `order` asc, `name` asc
      330μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
      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
    • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`parent_id` in (1) order by `order` asc
      200μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
      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
    • select `id`, `post_title`, `slug` from `posts` where `status` = 'publish' and `posts`.`deleted_at` is null order by RAND() limit 10
      1.12s/app/View/Composers/SidebarView.php:22receivinghelpdeskask
      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
    • select * from `fake_users` where `fake_users`.`id` = 44280 limit 1
      940μsview::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15receivinghelpdeskask
      Metadata
      Bindings
      • 0. 44280
      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
    App\Models\FakeUser
    1
    Outl1ne\MenuBuilder\Models\MenuItem
    1
    Outl1ne\MenuBuilder\Models\Menu
    1
    App\Models\JsonPostContent
    1
    App\Models\Post
    11
        _token
        T8ExiGMQBVzHoyzaKqLBN0aBEwTlBj9lmuL2hdgT
        _previous
        array:1 [ "url" => "https://receivinghelpdesk.com/ask/what-is-the-weighted-average-atomic-mass-of-...
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /what-is-the-weighted-average-atomic-mass-of-copper
        status_code
        200
        
        status_text
        OK
        format
        html
        content_type
        text/html; charset=UTF-8
        request_query
        []
        
        request_request
        []
        
        request_headers
        0 of 0
        array:25 [ "cookie" => array:1 [ 0 => "XSRF-TOKEN=eyJpdiI6ImUwdFQ1Uzl2a1BlNTVVWE1wcWV3MlE9PSIsInZhbHVlIjoicVdudWluWGEzWk8zWmlSbzAzbXZZTFFtYjVOZTJzSThqUUUvMTEvRGM2V3FhdS8rdWVBUnZNQ3EyVUxXMy9Wc21lM05nZ3JZbUZUV3d3SjRNbWxhVFg0OFVjY29DMFZ2Zi9wOXJQVzlBcEo2RDRlTVhrMFpUWUxpT3ozWGdXTi8iLCJtYWMiOiIwYjcxYzIzOWY4NTA5YzI1ODg4ZGVhZTI0OTEyNzg2YWY3Y2VmYmIwYjc1N2Q4YWQxMmRkMWU2ZDUzODgwYjAxIiwidGFnIjoiIn0%3D; askhelpdesk_session=eyJpdiI6IkhxSURDVHJKZkJxNHdnRGs4WVRpWlE9PSIsInZhbHVlIjoiWmlZckZyS2pNQjRjd2ZycTRCcGZ2V1NpNnYwaWNuMUF3SXJ0cHhVWVBtRlRGQmxKSXdMWEsvWEFSdmk0OXI3QkxFZVlwT01LQmdhY20xUGFvYXV5ak0yZzhjcEQ3aGlJMFhuZ0I2d2J2WUFxc3JzbnlzN3dHWHFKUVE1R0FNdkgiLCJtYWMiOiJhMmEwZjQ4MWJhMDMwMWYxYzEwYTVkMWRjYzE3ZTJjZjAxZTU5M2YwNjZhMTI1YmVjNDMwNzBkYzYxNzVlMjAxIiwidGFnIjoiIn0%3D; _pk_id.64.7c30=3ebcfc1c11b9e17d.1749911516.; _pk_ses.64.7c30=1XSRF-TOKEN=eyJpdiI6ImUwdFQ1Uzl2a1BlNTVVWE1wcWV3MlE9PSIsInZhbHVlIjoicVdudWluWGEzWk8zWmlSbzAzbXZZTFFtYjVOZTJzSThqUUUvMTEvRGM2V3FhdS8rdWVBUnZNQ3EyVUxXMy9Wc21lM05nZ" ] "cf-ipcountry" => array:1 [ 0 => "US" ] "cf-connecting-ip" => array:1 [ 0 => "216.73.216.243" ] "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 => "94fa88d6ed2fe810-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 => "216.73.216.243, 172.71.254.175" ] "x-server-addr" => array:1 [ 0 => "154.12.239.204" ] "host" => array:1 [ 0 => "receivinghelpdesk.com" ] ]
        request_server
        0 of 0
        array:56 [ "USER" => "runcloud" "HOME" => "/home/runcloud" "SCRIPT_NAME" => "/ask/index.php" "REQUEST_URI" => "/ask/what-is-the-weighted-average-atomic-mass-of-copper" "QUERY_STRING" => "" "REQUEST_METHOD" => "GET" "SERVER_PROTOCOL" => "HTTP/1.0" "GATEWAY_INTERFACE" => "CGI/1.1" "REDIRECT_URL" => "/ask/what-is-the-weighted-average-atomic-mass-of-copper" "REMOTE_PORT" => "53282" "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" => "172.71.254.175" "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" => "XSRF-TOKEN=eyJpdiI6ImUwdFQ1Uzl2a1BlNTVVWE1wcWV3MlE9PSIsInZhbHVlIjoicVdudWluWGEzWk8zWmlSbzAzbXZZTFFtYjVOZTJzSThqUUUvMTEvRGM2V3FhdS8rdWVBUnZNQ3EyVUxXMy9Wc21lM05nZ3JZbUZUV3d3SjRNbWxhVFg0OFVjY29DMFZ2Zi9wOXJQVzlBcEo2RDRlTVhrMFpUWUxpT3ozWGdXTi8iLCJtYWMiOiIwYjcxYzIzOWY4NTA5YzI1ODg4ZGVhZTI0OTEyNzg2YWY3Y2VmYmIwYjc1N2Q4YWQxMmRkMWU2ZDUzODgwYjAxIiwidGFnIjoiIn0%3D; askhelpdesk_session=eyJpdiI6IkhxSURDVHJKZkJxNHdnRGs4WVRpWlE9PSIsInZhbHVlIjoiWmlZckZyS2pNQjRjd2ZycTRCcGZ2V1NpNnYwaWNuMUF3SXJ0cHhVWVBtRlRGQmxKSXdMWEsvWEFSdmk0OXI3QkxFZVlwT01LQmdhY20xUGFvYXV5ak0yZzhjcEQ3aGlJMFhuZ0I2d2J2WUFxc3JzbnlzN3dHWHFKUVE1R0FNdkgiLCJtYWMiOiJhMmEwZjQ4MWJhMDMwMWYxYzEwYTVkMWRjYzE3ZTJjZjAxZTU5M2YwNjZhMTI1YmVjNDMwNzBkYzYxNzVlMjAxIiwidGFnIjoiIn0%3D; _pk_id.64.7c30=3ebcfc1c11b9e17d.1749911516.; _pk_ses.64.7c30=1XSRF-TOKEN=eyJpdiI6ImUwdFQ1Uzl2a1BlNTVVWE1wcWV3MlE9PSIsInZhbHVlIjoicVdudWluWGEzWk8zWmlSbzAzbXZZTFFtYjVOZTJzSThqUUUvMTEvRGM2V3FhdS8rdWVBUnZNQ3EyVUxXMy9Wc21lM05nZ" "HTTP_CF_IPCOUNTRY" => "US" "HTTP_CF_CONNECTING_IP" => "216.73.216.243" "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" => "94fa88d6ed2fe810-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" => "216.73.216.243, 172.71.254.175" "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" => 1749911519.8411 "REQUEST_TIME" => 1749911519 ]
        request_cookies
        0 of 0
        array:4 [ "XSRF-TOKEN" => "T8ExiGMQBVzHoyzaKqLBN0aBEwTlBj9lmuL2hdgT" "askhelpdesk_session" => "H9xaft9KxiylPOS842I7itgoT8y9oQQwcQqItXOl" "_pk_id_64_7c30" => null "_pk_ses_64_7c30" => null ]
        response_headers
        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, 14 Jun 2025 14:31:59 GMT" ] "pragma" => array:1 [ 0 => "no-cache" ] "expires" => array:1 [ 0 => -1 ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IklKWEozUG9SNWlMYWk0Q2lyLzRsZUE9PSIsInZhbHVlIjoiTDdjTy8yU2FhY1ZSRmVGUlJMS2NVZUxHY3VYK1pHRnVhdFVSOGRSYmpLck1MeG9TL2UwdFpNYVByWk5Rb0J4d3VCczJUaCttbUJQTWpxYWN0d2tXSDVVMTRBVSt0cmpKb2ZobHFLTVdkS1pnSklPM2ZuelNwamh1bC9FZTFwZG8iLCJtYWMiOiJhNGY3ZjA2ZDYwYTdjOTk3OGM2ZWE3MDMzOGU4ZjdmNjNiYmVlOWNiMzJhMGQwZDZkNTQwNTQxMjk2MWJkNzc2IiwidGFnIjoiIn0%3D; expires=Sat, 14-Jun-2025 16:32:01 GMT; Max-Age=7200; path=/; samesite=laxXSRF-TOKEN=eyJpdiI6IklKWEozUG9SNWlMYWk0Q2lyLzRsZUE9PSIsInZhbHVlIjoiTDdjTy8yU2FhY1ZSRmVGUlJMS2NVZUxHY3VYK1pHRnVhdFVSOGRSYmpLck1MeG9TL2UwdFpNYVByWk5Rb0J4d3VCczJUa" 1 => "askhelpdesk_session=eyJpdiI6ImlXWG1XU2NuS1BNYjVwU1NXVnYwd3c9PSIsInZhbHVlIjoiaXkwUjVEWUtZdFF2aUJubm5QdklmZS9XYUVoZ3NCN2swV1NNKzlFdXlhWVg2L2JWTDNJem5vMC9ydHF6bDczUzVqZ3pUVGhoWk5NenVTZWRQekNEUDV4SlFJT2I1cHJ5Zmp2WW1ORjlvK1hJcHFwU0VSVi9NYWFFaVhsaUt3TzciLCJtYWMiOiI0ZTJlM2ZhY2Q2MTI2NGQxYjk3ODQ0Y2MxYTJmNGQ3NTNlMDA0YmMyMDQ4MDgzZWQ5MTYyMDgxOTI5ZjkxOGIxIiwidGFnIjoiIn0%3D; expires=Sat, 14-Jun-2025 16:32:01 GMT; Max-Age=7200; path=/; httponly; samesite=laxaskhelpdesk_session=eyJpdiI6ImlXWG1XU2NuS1BNYjVwU1NXVnYwd3c9PSIsInZhbHVlIjoiaXkwUjVEWUtZdFF2aUJubm5QdklmZS9XYUVoZ3NCN2swV1NNKzlFdXlhWVg2L2JWTDNJem5vMC9ydHF6bDcz" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IklKWEozUG9SNWlMYWk0Q2lyLzRsZUE9PSIsInZhbHVlIjoiTDdjTy8yU2FhY1ZSRmVGUlJMS2NVZUxHY3VYK1pHRnVhdFVSOGRSYmpLck1MeG9TL2UwdFpNYVByWk5Rb0J4d3VCczJUaCttbUJQTWpxYWN0d2tXSDVVMTRBVSt0cmpKb2ZobHFLTVdkS1pnSklPM2ZuelNwamh1bC9FZTFwZG8iLCJtYWMiOiJhNGY3ZjA2ZDYwYTdjOTk3OGM2ZWE3MDMzOGU4ZjdmNjNiYmVlOWNiMzJhMGQwZDZkNTQwNTQxMjk2MWJkNzc2IiwidGFnIjoiIn0%3D; expires=Sat, 14-Jun-2025 16:32:01 GMT; path=/XSRF-TOKEN=eyJpdiI6IklKWEozUG9SNWlMYWk0Q2lyLzRsZUE9PSIsInZhbHVlIjoiTDdjTy8yU2FhY1ZSRmVGUlJMS2NVZUxHY3VYK1pHRnVhdFVSOGRSYmpLck1MeG9TL2UwdFpNYVByWk5Rb0J4d3VCczJUa" 1 => "askhelpdesk_session=eyJpdiI6ImlXWG1XU2NuS1BNYjVwU1NXVnYwd3c9PSIsInZhbHVlIjoiaXkwUjVEWUtZdFF2aUJubm5QdklmZS9XYUVoZ3NCN2swV1NNKzlFdXlhWVg2L2JWTDNJem5vMC9ydHF6bDczUzVqZ3pUVGhoWk5NenVTZWRQekNEUDV4SlFJT2I1cHJ5Zmp2WW1ORjlvK1hJcHFwU0VSVi9NYWFFaVhsaUt3TzciLCJtYWMiOiI0ZTJlM2ZhY2Q2MTI2NGQxYjk3ODQ0Y2MxYTJmNGQ3NTNlMDA0YmMyMDQ4MDgzZWQ5MTYyMDgxOTI5ZjkxOGIxIiwidGFnIjoiIn0%3D; expires=Sat, 14-Jun-2025 16:32:01 GMT; path=/; httponlyaskhelpdesk_session=eyJpdiI6ImlXWG1XU2NuS1BNYjVwU1NXVnYwd3c9PSIsInZhbHVlIjoiaXkwUjVEWUtZdFF2aUJubm5QdklmZS9XYUVoZ3NCN2swV1NNKzlFdXlhWVg2L2JWTDNJem5vMC9ydHF6bDcz" ] ]
        session_attributes
        0 of 0
        array:4 [ "_token" => "T8ExiGMQBVzHoyzaKqLBN0aBEwTlBj9lmuL2hdgT" "_previous" => array:1 [ "url" => "https://receivinghelpdesk.com/ask/what-is-the-weighted-average-atomic-mass-of-copper" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]