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Q.

A first order reaction,,

3A(g)2B(g)+3C(g)

Starting with pure A, the pressure developed after 4 min and infinite time is 4.5 atm and 5 atm respectively then calculate time (in minutes) required for 87.5% decomposition of A.

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answer is 6.

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Detailed Solution

In the reaction we have,

3A(g)2B(g)+3C(g)

t=0P000 t=tP0P23PPTotal =P0+23Pt=α023P0P0PTotal =53P0=5    P0=3

P0+23P=4.523P=1.5P=4.52kt=ln334.52kt=ln3×21.5kt=2 ln 2

k=ln 22

t1/2=2; t87.5%=6

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