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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 6

  • question_answer
    For the reaction system: \[2NO(g)+{{O}_{2}}(g)\to 2N{{O}_{2}}(g)\]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-eighth of its initial value

    B) increase to eight times of its initial value

    C) increase to four times of its initial value

    D) diminish to one-fourth of its initial value

    Correct Answer: B

    Solution :

    \[r=k\,[{{O}_{2}}]{{[NO]}^{2}}.\]
    When the volume is reduced to \[1/2,\] the cone. will double
    Concentration \[=\frac{\text{no}\text{.}\,\,\text{of}\,\,\text{moles}}{\text{volume}}\]
    \[\therefore \] New rate \[=k\,[2{{O}_{2}}]\,{{[2NO]}^{2}}=8k\,[{{O}_{2}}]\,{{[NO]}^{2}}\]
    The new rate increases to eight times of its initial.


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