161.
Bombardment of aluminium by $$o-$$ particle leads to its artificial disintegration in two ways, (i) and (ii) as shown. Products $$X, Y$$ and $$Z$$ respectively are,
Catalyst alters the activation energy of both forward and backward reactions equally hence heat of reaction remains unchanged.
163.
Two reactions $${R_1}$$ and $${R_2}$$ have identical pre-exponential factors. Activation energy of $${R_1}$$ exceeds that of $${R_2}$$ by $$10\,kJ\,mo{l^{ - 1}}.$$ If $${k_1}$$ and $${k_2}$$ are rate constants for reactions $${R_1}$$ and $${R_2}$$ respectively at $$300 K$$ , then In $$\left( {{k_2}/{k_1}} \right)$$ is equal to :
$$\left( {R = 8.314\,J\,mo{l^{ - 1}}{K^{ - 1}}} \right)$$
In Arrhenius equation $$k = A{e^{ - \,\frac{E}{{RT}}}},E$$ is the energy of activation, which is required by the colliding molecules to react resulting in the formation of products.
Since the slow step is the rate determining step hence if we consider option (A) we find
$${\text{Rate}} = k\left[ {C{l_2}} \right]\left[ {{H_2}S} \right]$$
Now if we consider option (B) we find
$$\eqalign{
& {\text{Rate}} = k\left[ {C{l_2}} \right]\left[ {H{S^ - }} \right]\,\,\,\,\,...\left( {\text{i}} \right) \cr
& {\text{From equation (i)}} \cr
& k = \frac{{\left[ {{H^ + }} \right]\left[ {H{S^ - }} \right]}}{{{H_2}S}}\,\,{\text{or}}\,\left[ {H{S^ - }} \right] = \frac{{k\left[ {{H_2}S} \right]}}{{{H^ + }}} \cr} $$
Substituting this value in equation (i) we find
$${\text{Rate}} = k\left[ {C{l_2}} \right]K\frac{{\left[ {{H_2}S} \right]}}{{{H^ + }}} = k'\frac{{\left[ {C{l_2}} \right]\left[ {{H_2}S} \right]}}{{\left[ {{H^ + }} \right]}}$$
hence only , mechanism (A) is consistent with the given
rate equation.
166.
For a reaction, activation energy $$\left( {{E_a}} \right) = 0$$ and rate constant $$\left( k \right) = 3.2 \times {10^6}{s^{ - 1}}$$ at $$300\,K.$$ What is the value of the rate constant at $$310\,K$$
When $${E_a} = 0,$$ rate constant is independent of temperature.
167.
In a first order reaction, $$A \to B,$$ if $$k$$ is rate constant and initial concentration of the reactant $$A$$ is $$0.5$$ $$M,$$ then the half-life is
168.
The activation energies of the forward and backward reactions in the case of a chemical reaction are $$30.5$$ and $$45.4\,kJ/mol$$ respectively. The reaction is :
Exothermic because of activation energy $${E_b} > {E_f}$$
169.
The decomposition of dinitrogen pentoxide $$\left( {{N_2}{O_5}} \right)$$ follows first order rate law. What will be the rate constant from the given data?
$$\eqalign{
& {\text{At}}\,t = 800\,s{\text{,}}\left[ {{N_2}{O_5}} \right] = 1.45\,mol\,{L^{ - 1}} \cr
& {\text{At}}\,t = 1600\,s,\left[ {{N_2}{O_5}} \right] = 0.88\,mol\,{L^{ - 1}} \cr} $$