The reaction 2NO_{(g)} + O_{2(g)} rightleftha | vedclass

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(C) For a first-order reaction,the rate of reaction is directly proportional to the concentration of the reactant: $Rate = k[Reactant]^1$.When the vol

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$3$

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(C) For a first-order reaction,the rate of reaction is directly proportional to the concentration of the reactant: $Rate = k[Reactant]^1$.When the volume of the reaction vessel is reduced to $1/3$ of its original volume $(V' = V/3)$,the concentration of the gaseous reactants increases by a factor of $3$ $(C' = n/V' = n/(V/3) = 3C)$.Since the reaction is of first order with respect to the concentration,the new rate of reaction $(Rate')$ will be $k(3[Reactant])^1 = 3 	imes k[Reactant] = 3 	imes Rate$.Therefore,the rate of reaction increases by $3$ times.

The reaction $2NO_{(g)} + O_{2(g)} \rightleftharpoons 2NO_{2(g)}$ is of first order. If the volume of the reaction vessel is reduced to $1/3$ of its original volume,the rate of reaction would be .......... times.

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