Notifications

Clear all

The rate of a reaction quadruples when the temperature changes from 293 K to 313 K. Calculate the energy of activation of the reaction assuming that it does not change with temperature.

Last Post

31/01/2022 5:03 pm

Topic starter

Shilpi98

(@shilpi98)

Noble Member

| 2167 Posts
2167 2 0

Add a comment

Topic Tags

class 12 cbse ncert chemical kinetics

1 Answer

31/01/2022 5:11 pm

From Arrhenius equation, we obtain

log \(\frac{k_2}{k_1}\) = \(\frac{E_a}{2.303R}\) \(\Big(\frac{T_2 - T_1}{T_1T_2}\Big)\)

It is given that, k₂ = 4k₁

T₁ = 293 K

T₂ = 313 K

Therefore, log \(\frac{4k_1}{k_2}\) = \(\frac{E_a}{2.303 \times 8.314}\) \(\Big(\frac{313 - 293}{293 \times 313}\Big)\)

⇒ 0.6021 = \(\frac{20 \times E_a}{2.303 \times 8.314 \times 293 \times 313}\)

⇒ E_a = \(\frac{0.6021 \times 2.303 \times 8.314 \times 293 \times 313}{20}\)

= 52863.33 J mol^-1

= 52.86 kJ mol^-1

Hence, the required energy of activation is 52.86 kJ mol^-1.

Riya08

(@riya08)

Noble Member

| 2145 Posts
0 2145 0

Add a comment

Forum Statistics

321 Forums

27.1 K Topics

53.3 K Posts

5 Online

50 K Members

Latest Post: Assertion: Excess of nitrates in drinking water are harmful for infants. Our newest member: nntlyn56234497 Recent Posts Unread Posts Tags

Forum Icons: Forum contains no unread posts Forum contains unread posts

Topic Icons: Not Replied Replied Active Hot Sticky Unapproved Solved Private Closed

Super Globals

Requests: Array ( )

Server: Array ( )

Options and Features

permastruct: community
use_home_url: 0
url: https://eanshub.com/community/
Array
(
    [title] =>  Forum
    [description] =>  Discussion Board
    [lang] => 1
)
pageid:187
default_groupid: 3
Array
(
    [layout_extended_intro_topics_toggle] => 1
    [layout_extended_intro_topics_count] => 5
    [layout_extended_intro_topics_length] => 45
    [layout_qa_intro_topics_toggle] => 1
    [layout_qa_intro_topics_count] => 0
    [layout_qa_intro_topics_length] => 90
    [layout_threaded_intro_topics_toggle] => 0
    [layout_threaded_display_subforums] => 1
    [layout_threaded_filter_buttons] => 1
    [layout_threaded_add_topic_button] => 1
    [layout_threaded_intro_topics_count] => 10
    [layout_threaded_intro_topics_length] => 0
    [display_current_viewers] => 1
)
Array
(
    [layout_extended_intro_posts_toggle] => 1
    [layout_extended_intro_posts_count] => 4
    [layout_extended_intro_posts_length] => 50
    [layout_qa_posts_per_page] => 15
    [layout_qa_comments_limit_count] => 10
    [layout_qa_first_post_reply] => 1
    [comment_body_min_length] => 2
    [comment_body_max_length] => 0
    [layout_threaded_posts_per_page] => 5
    [layout_threaded_nesting_level] => 5
    [layout_threaded_first_post_reply] => 0
    [union_first_post] => Array
        (
            [2] => 0
            [4] => 0
            [1] => 0
            [3] => 1
        )

[topic_body_min_length] => 2
    [topic_body_max_length] => 0
    [post_body_min_length] => 2
    [post_body_max_length] => 0
    [recent_posts_type] => topics
    [tags] => 1
    [max_tags] => 5
    [tags_per_page] => 100
    [edit_topic] => 1
    [edit_post] => 1
    [edit_log_display_limit] => 0
    [display_current_viewers] => 1
    [display_recent_viewers] => 1
    [display_admin_viewers] => 1
    [topics_per_page] => 10
    [eot_durr] => 0
    [dot_durr] => 0
    [posts_per_page] => 20
    [eor_durr] => 0
    [dor_durr] => 0
    [search_max_results] => 100
    [max_upload_size] => 10485760
    [attach_cant_view_msg] => You are not permitted to view this attachment
    [toolbar_location_topic] => top
    [toolbar_location_reply] => top
)
Array
(
    [online_status_timeout] => 240
    [members_per_page] => 15
    [url_structure] => nicename
    [search_type] => search
    [login_url] => 
    [register_url] => 
    [lost_password_url] => 
    [redirect_url_after_login] => 
    [redirect_url_after_register] => 
    [redirect_url_after_confirm_sbscrb] => 
    [custom_title_is_on] => 1
    [default_title] => Member
    [rating] => Array
        (
            [0] => Array
                (
                    [points] => 0
                    [title] => New Member
                    [color] => #d2d2d2
                    [icon] => far fa-star-half
                )

[1] => Array
                (
                    [points] => 5
                    [title] => Active Member
                    [color] => #4dca5c
                    [icon] => fas fa-star
                )

[2] => Array
                (
                    [points] => 20
                    [title] => Eminent Member
                    [color] => #4dca5c
                    [icon] => fas fa-star
                )

[3] => Array
                (
                    [points] => 50
                    [title] => Trusted Member
                    [color] => #4dca5c
                    [icon] => fas fa-star
                )

[4] => Array
                (
                    [points] => 100
                    [title] => Estimable Member
                    [color] => #4dca5c
                    [icon] => fas fa-star
                )

[5] => Array
                (
                    [points] => 250
                    [title] => Reputable Member
                    [color] => #4dca5c
                    [icon] => fas fa-star
                )

[6] => Array
                (
                    [points] => 500
                    [title] => Honorable Member
                    [color] => #e5d600
                    [icon] => fas fa-certificate
                )

[7] => Array
                (
                    [points] => 750
                    [title] => Prominent Member
                    [color] => #e5d600
                    [icon] => fas fa-certificate
                )

[8] => Array
                (
                    [points] => 1000
                    [title] => Noble Member
                    [color] => #e5d600
                    [icon] => fas fa-certificate
                )

[9] => Array
                (
                    [points] => 2500
                    [title] => Famed Member
                    [color] => #ff812d
                    [icon] => fas fa-shield-alt
                )

[10] => Array
                (
                    [points] => 5000
                    [title] => Illustrious Member
                    [color] => #e04a47
                    [icon] => fas fa-trophy
                )

)

[rating_title_ug] => Array
        (
            [5] => 1
            [4] => 1
            [3] => 1
        )

[rating_badge_ug] => Array
        (
            [1] => 1
            [5] => 1
            [4] => 1
            [2] => 1
            [3] => 1
        )

[title_usergroup] => Array
        (
            [1] => 1
            [5] => 1
            [4] => 1
            [2] => 1
        )

[title_second_usergroup] => Array
        (
            [3] => 1
        )

[4] => Array
                (
                    [id] => 4
                    [name] => Threaded
                    [version] => 1.0.0
                    [description] => Threaded layout turns your forum to a threads list accented on discussion tree view.
                    [author] => gVectors Team
                    [url] => http://gvectors.com/
                    [file] => classic/layouts/4/forum.php
                )

[1] => Array
                (
                    [id] => 1
                    [name] => Extended
                    [version] => 1.0.0
                    [description] => Extended layout displays one level deeper information in advance.
                    [author] => gVectors Team
                    [url] => http://gvectors.com/
                    [file] => classic/layouts/1/forum.php
                )

[3] => Array
                (
                    [id] => 3
                    [name] => QA
                    [version] => 1.0.0
                    [description] => Q&A Layout turns your forum to a powerful question and answer discussion board.
                    [author] => gVectors Team
                    [url] => http://gvectors.com/
                    [file] => classic/layouts/3/forum.php
                )

)

[style] => orange
    [styles] => Array
        (
            [default] => Array
                (
                    [0] => #000000
                    [1] => #FFFFFF
                    [2] => #333333
                    [3] => #555555
                    [4] => #666666
                    [5] => #777777
                    [6] => #999999
                    [7] => #CCCCCC
                    [8] => #E6E6E6
                    [9] => #F5F5F5
                    [10] => #DADADA
                    [11] => #659FBE
                    [12] => #43A6DF
                    [13] => #72CCFC
                    [14] => #0099CC
                    [15] => #3F7796
                    [16] => #4A8EB3
                    [17] => #DFF4FF
                    [20] => #FF812D
                    [30] => #4DCA5C
                    [31] => #00A636
                    [32] => #86BA4C
                    [33] => #6FA634
                    [40] => #FF9595
                    [41] => #FF7575
                    [42] => #F46464
                )

[red] => Array
                (
                    [0] => #000000
                    [1] => #ffffff
                    [2] => #333333
                    [3] => #555555
                    [4] => #666666
                    [5] => #777777
                    [6] => #999999
                    [7] => #cccccc
                    [8] => #e6e6e6
                    [9] => #f5f5f5
                    [10] => #dadada
                    [11] => #e0141e
                    [12] => #ee1a26
                    [13] => #fc979c
                    [14] => #e0141e
                    [15] => #99262b
                    [16] => #d61319
                    [17] => #fff7f7
                    [20] => #30b2a7
                    [30] => #4dca5c
                    [31] => #00a636
                    [32] => #86ba4c
                    [33] => #6fa634
                    [40] => #ff9595
                    [41] => #ff7575
                    [42] => #f46464
                )

[green] => Array
                (
                    [0] => #000000
                    [1] => #ffffff
                    [2] => #333333
                    [3] => #555555
                    [4] => #666666
                    [5] => #777777
                    [6] => #999999
                    [7] => #cccccc
                    [8] => #e6e6e6
                    [9] => #f5f5f5
                    [10] => #dadada
                    [11] => #6ea500
                    [12] => #649e2d
                    [13] => #8dce0c
                    [14] => #447714
                    [15] => #5a7f10
                    [16] => #6ea500
                    [17] => #f8fcef
                    [20] => #ff812d
                    [30] => #4dca5c
                    [31] => #00a636
                    [32] => #ff812d
                    [33] => #f47222
                    [40] => #ff9595
                    [41] => #ff7575
                    [42] => #f46464
                )

[orange] => Array
                (
                    [0] => #000000
                    [1] => #ffffff
                    [2] => #333333
                    [3] => #555555
                    [4] => #666666
                    [5] => #777777
                    [6] => #999999
                    [7] => #cccccc
                    [8] => #e6e6e6
                    [9] => #f5f5f5
                    [10] => #dadada
                    [11] => #e0762f
                    [12] => #ff6600
                    [13] => #fc9958
                    [14] => #f26000
                    [15] => #aa4f12
                    [16] => #f26000
                    [17] => #fff4ed
                    [20] => #ff812d
                    [30] => #4dca5c
                    [31] => #00a636
                    [32] => #86ba4c
                    [33] => #6fa634
                    [40] => #ff9595
                    [41] => #ff7575
                    [42] => #f46464
                )

[grey] => Array
                (
                    [0] => #000000
                    [1] => #ffffff
                    [2] => #333333
                    [3] => #343434
                    [4] => #666666
                    [5] => #777777
                    [6] => #999999
                    [7] => #cccccc
                    [8] => #e6e6e6
                    [9] => #f5f5f5
                    [10] => #dadada
                    [11] => #888888
                    [12] => #666666
                    [13] => #7eea8d
                    [14] => #777777
                    [15] => #333333
                    [16] => #555555
                    [17] => #dff4ff
                    [20] => #ff812d
                    [30] => #4dca5c
                    [31] => #00a636
                    [32] => #86ba4c
                    [33] => #6fa634
                    [40] => #ff9595
                    [41] => #ff7575
                    [42] => #f46464
                )

[dark] => Array
                (
                    [0] => #000000
                    [1] => #141414
                    [2] => #bbbbbb
                    [3] => #000000
                    [4] => #666666
                    [5] => #bcbcbc
                    [6] => #999999
                    [7] => #585858
                    [8] => #727272
                    [9] => #323232
                    [10] => #dadada
                    [11] => #888888
                    [12] => #33779b
                    [13] => #7eea8d
                    [14] => #777777
                    [15] => #e0e0e0
                    [16] => #cecece
                    [17] => #33779b
                    [20] => #ff812d
                    [30] => #4dca5c
                    [31] => #00a636
                    [32] => #86ba4c
                    [33] => #6fa634
                    [40] => #ff9595
                    [41] => #ff7575
                    [42] => #f46464
                )

)

)
classic

Forum

The rate of a reaction quadruples when the temperature changes from 293 K to 313 K. Calculate the energy of activation of the reaction assuming that it does not change with temperature.

Super Globals

Options and Features

How Can We Help?

Home

About Us

Contact Us

Privacy Policy

Term of Use

Copyright © 2020 Eanshub

All Rights Reserved