For a certain reaction,consider the plot of l | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) From the Arrhenius equation,$\ln k = \ln A - \frac{E_a}{R} \left( \frac{1}{T} \right)$.Comparing this with the equation of a straight line $y = mx

Vedclass · Accepted Answer

$10^{-4} \ s^{-1}$

Vedclass · Answer

(C) From the Arrhenius equation,$\ln k = \ln A - \frac{E_a}{R} \left( \frac{1}{T} ight)$.Comparing this with the equation of a straight line $y = mx + c$,the slope $m = -\frac{E_a}{R}$.Given slope $= -4606 \ K$,so $\frac{E_a}{R} = 4606 \ K$.Using the integrated Arrhenius equation: $\ln \left( \frac{k_2}{k_1} ight) = \frac{E_a}{R} \left( \frac{1}{T_1} - \frac{1}{T_2} ight)$.Here,$T_1 = 400 \ K$,$k_1 = 10^{-5} \ s^{-1}$,$T_2 = 500 \ K$,and $k_2 = ?$.$\ln \left( \frac{k_2}{10^{-5}} ight) = 4606 	imes \left( \frac{1}{400} - \frac{1}{500} ight) = 4606 	imes \left( \frac{500 - 400}{200000} ight) = 4606 	imes \frac{100}{200000} = 4606 	imes \frac{1}{2000} = 2.303$.Since $\ln 10 \approx 2.303$,we have $\ln \left( \frac{k_2}{10^{-5}} ight) = \ln 10$.Therefore,$\frac{k_2}{10^{-5}} = 10$,which gives $k_2 = 10^{-4} \ s^{-1}$.

For a certain reaction,consider the plot of $\ln k$ versus $1/T$ given in the figure. If the rate constant of this reaction at $400 \ K$ is $10^{-5} \ s^{-1}$,then the rate constant at $500 \ K$ is:

Similar Questions

What is the activation energy for the reverse of this reaction?
$N_2O_{4(g)} \to 2NO_{2(g)}$
Data for the given reaction is:
$\Delta H = +54 \ kJ$ and $E_a = +57.2 \ kJ$
Answer in $kJ$.

The rate constant of a reaction increases by five times on increase in temperature from $27^{\circ} C$ to $52^{\circ} C$. The value of activation energy in $kJ \, mol^{-1}$ is $....$ . (Rounded-off to the nearest integer) $[R = 8.314 \, J \, K^{-1} \, mol^{-1}]$

$A$ mixture of $H_2$ and $O_2$ is very stable at room temperature. However,it explodes immediately upon sparking. This is because .........

Which one of the following does not represent the Arrhenius equation?

According to the collision theory,which of the following statements is $NOT$ correct?

Vedclass Test Series

Exam Paper Generator

Online Exam Module