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Question

For an elementary reaction 2A+B22AB, if the volume of the vessel is reduced to one-third of its original volume, then the rate of the reaction will:

A
increase by 27 times
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B
decrease by 27 times
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C
increase by 32 times
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D
decrease by 32 times
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Solution

The correct option is A increase by 27 times
When the volume is reduced to one third, the pressure is increased to three times.
rate=kP2APB2
Let a and b be the initial pressures of A and B2 respectively.
After volume change, the pressures of A and B2 are 3a and 3b respectively.
r0=ka2b ...... (1)
r=k(3a)23b ...... (2)
Divide (2) by (1)
rr0=k(3a)23bka2b=271
Thus, the rate increases 27 times.

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