Factors Influencing Rate of Reaction — Prelims Questions

For a first-order reaction, if the temperature is increased from $298,\text{K}$ to $308,\text{K}$, the rate constant doubles. What is the approximate activation energy ($E_a$) for this reaction? (Given: $R = 8.314,\text{J K}^{-1}\text{mol}^{-1}$, $ln 2 = 0.693$)

Which of the following statements about a catalyst is INCORRECT?

For a reaction $A + B \rightarrow C$, the rate law is given as $ext{Rate} = k[A]^2[B]^1$. If the concentration of A is doubled and the concentration of B is halved, what will be the change in the reaction rate?

Which of the following factors would NOT affect the rate of a reaction between two gases in a closed container?

The decomposition of $N_2O_5$ in carbon tetrachloride solution was found to be first order with respect to $N_2O_5$. The rate constant at $300,\text{K}$ is $5.0 \times 10^{-4},\text{s}^{-1}$. If the initial concentration of $N_2O_5$ is $0.5,\text{M}$, what is the initial rate of reaction?

Consider the reaction: $2H_2(g) + O_2(g) \rightarrow 2H_2O(g)$. If the volume of the container is suddenly reduced to half its original value at constant temperature, how will the rate of reaction change, assuming the reaction is elementary?

Which of the following statements correctly describes the effect of increasing surface area on the rate of a heterogeneous reaction involving a solid reactant?