When the temperature of a reaction is raised by $10^{\circ}C$,how many times the rate will be enhanced?

The rate constant of a chemical reaction at a very high temperature will approach:

The graph for the process $R \rightarrow P$ is given below. Determine the activation energy $(E_a)$ for the forward reaction if the energy of the reactant is $50 \ kJ$ and the energy of the transition state is $170 \ kJ$. (in $kJ$)

The half-life periods of a first order reaction at $300 \ K$ and $400 \ K$ are $50 \ s$ and $10 \ s$ respectively. The activation energy of the reaction in $kJ \ mol^{-1}$ is $(\log 5 = 0.70)$

The number of molecules with energy greater than the threshold energy for a reaction increases five-fold by a rise of temperature from $27^{\circ} C$ to $42^{\circ} C$. Its energy of activation in $J \ mol^{-1}$ is.............. (Take $\ln 5 = 1.6094$; $R = 8.314 \ J \ mol^{-1} K^{-1}$)

The rate constant of a reaction depends upon