AIPMT 2012 Mock Test

Equal volumes of two monoatomic gases, $A$ and $B$, at same temperature and pressure are mixed. The ratio of specific heats ($C_p/C_v$) of the mixture will be:

Given that the equilibrium constant for the reaction $2{\text{SO}}_{2(\text{g})}+{\text{O}}_{2(\text{g})}\rightleftharpoons 2{\text{SO}}_{3(\text{g})}$ has a value of $278$ at a particular temperature. What is the value of the equilibrium constant for the following reaction at the same temperature:
$${\text{SO}}_{3(\text{g})}\rightleftharpoons {\text{SO}}_{2(\text{g})}+\frac{1}{2}{\text{O}}_{2(\text{g})}$$

Which one of the following sets forms the biodegradable polymer?

In the replacement reaction:

The reaction will be most favourable if $\text{M}$ happens to be:

Activation energy ($E_a$) and rate constants ($k_1$ and $k_2$) of a chemical reaction at two different temperatures ($T_1$ and $T_2$) are related by: