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Question

The reaction is given below, the rate constant for disappearance of A is 7.48×103sec1. The time required for the total pressure in a system containing A at an initial pressure of 0.1 atm to rise to 0.145 atm is:
2A(g)4B(g)+C(g)

A
0.80 min
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B
0.567 min
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C
0.433 min
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D
0.344 min
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Solution

The correct option is A 0.80 min
Its a first order reaction and for this,
kt=2.303 log(aax)

Here,
2A(g)4B(g)+C(g)
P - -
P-2x 4x x

So here, P-2x+4x+x= 0.145
From given condition 2x is 0.03 and t=2.303k log(pp2x)=47.63 seconds=0.80 min.

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