Arrhenius Equation

Q. The activation energy for a reaction at the temperature TK was found to be 2.303 $RTJmo{l}^{-1}$. The ratio of the rate constant to Arrhenius factor is ___

1. ${10}^{-1}$
2. $2\times {10}^{-2}$
3. ${10}^{-2}$
4. $2\times {10}^{-3}$

Q. Let’s assume you are a student of Arrhenius. He asked you to calculate $E_a$ for a reaction so that he can study a reaction on which he is working for a long time. He told you the rate constants of the reaction at 500 K and 700 K are $0.02s^{-1}and0.07s^{-1}$ respectively. Calculate the value of $E_a$.

1. 12831 J
2. 18431 J
3. 18231 J
4. 19231 J

Q. The energy of activation of a first order reaction is $187.06kJmo{l}^{-1}$ at 750 K and the value of pre-exponential factor A is $1.97\times {10}^{12}{s}^{-1}$. Calculate the half life. $(e^{-30}=9.35\times {10}^{-14})$

1. 5.76s
2. 8.76s
3. 9.76s
4. 3.76s