AMU Medical AMU Solved Paper-2015

  • question_answer
    For a reaction,\[NO\,(g)+{{O}_{2}}(g)\xrightarrow{{}}2N{{O}_{2}}\,(g);\] Rate \[=kl\,{{[NO]}^{2}}[{{O}_{2}}]\]. If the volume of the reaction vessel is doubled, the rate of reaction

    A)  will diminish to 1/4 of initial value

    B)  will diminish to 1/8 of initial value

    C)  will increase 4 times

    D)  will increase 8 times

    Correct Answer: B

    Solution :

                    Rate \[\propto \] concentration \[\propto \frac{moles}{litre}\] When the volume of the reaction vessel is doubled then the rate of reaction \[({{r}^{1}})\] will be \[r=k\,{{\left[ \frac{x}{V} \right]}^{2}}\left[ \frac{y}{V} \right]\](where, x and y are the number of moles of NO and\[{{O}_{2}}\])                 \[I=k{{\left[ \frac{x}{2V} \right]}^{2}}\left[ \frac{y}{2V} \right]\]                 \[\frac{I}{r}=\frac{k{{\left[ \frac{x}{2V} \right]}^{2}}\left[ \frac{y}{2V} \right]}{k{{\left[ \frac{x}{V} \right]}^{2}}\left[ \frac{y}{V} \right]}\Rightarrow r\frac{1}{8}\,r\]


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