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For the reaction system : <br> $2NO(g) + O_2(g) \to 2NO_2 (g)$ <br> volume is suddenly reduced to half its value by increasing the pressure on it. If the reaction is of first order with respect to $O_2$ and second order with respect to NO; the rate of reaction will :


( A ) diminish to one-fourth of its initial value
( B ) diminish to one-eighth of its initial value
( C ) increase to eight times of its initial value
( D ) increase to four times of its initial value

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