Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • The rate constant (k) of a reaction is measured at different temperature (T), and the data are plotted in the given figure. The activation energy of the reaction in <img alt="\mathrm{k J mol { }^{-

The rate constant (k) of a reaction is measured at different temperature (T), and the data are plotted in the given figure. The activation energy of the reaction in \mathrm{k J mol { }^{-1}} is: (R is gas constant)

Option: 1

3R


Option: 2

5R


Option: 3

4R


Option: 4

2R


Answers (1)

\mathrm{\begin{aligned} k & =A e^{-E a / R T} \\ \ln k & =\ln A-\left(\frac{E a}{R}\right) \frac{1}{T} \\ \ln k & =\ln A-\left(\frac{E a}{R \times 10^3}\right) \frac{10^3}{T} \end{aligned}}

slope of graph 

\mathrm{\begin{aligned} & \frac{-E a}{R \times 10^3}=\frac{-15}{5} \\ & E a=3 R \times 10^3 \mathrm{~J} \\ & E a=3 R \mathrm{~kJ} \end{aligned}}

Posted by

Sumit Saini

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2025: NIT Tiruchirappalli cut-offs rose for major BTech programmes this year; closing ranks
anam-khan

JoSAA 2025 reconstituted; NIT Rourkela to coordinate BTech counselling for IITs, NITs, IIITs
anam-khan

JEE Main 2025: BTech Information Technology cut-offs at NITs; know opening, closing ranks

Latest Question