• # question_answer For the reaction ${{N}_{2}}(g)+3{{H}_{2}}(g)\to 2N{{H}_{3}}(g)$ under certain conditions of temperature and partial pressure of the reactants, the rate of formation of $N{{H}_{3}}$ is $0.001\,kg\,{{h}^{-1}}$. The rate of conversion of ${{H}_{2}}$ under the same conditions is [IIT 1994] A)                 $1.82\,\times {{10}^{-4}}\,kg/hr$           B)                 $0.0015\,kg/hr$ C)                 $1.52\times {{10}^{4}}kg/hr$   D)                 $1.82\times {{10}^{-14}}kg/hr$

$\frac{-d{{N}_{2}}}{dt}=\frac{-1}{3}\frac{d{{H}_{2}}}{dt}=\frac{1}{2}\frac{dN{{H}_{3}}}{dt}$                                 $\frac{d{{H}_{2}}}{dt}=\frac{3}{2}\times 0.001=0.0015kg\,h{{r}^{-1}}.$