Q.

Dry air  (γ=32) at atmospheric pressure is suddenly compressed to 14th of its original volume, the pressure will be

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a

10 atm

b

8 atm

c

3 atm

d

6 atm

answer is B.

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Detailed Solution

Pressure P1=P=1 atm  to find  P2  given volume V1=V and :V2=V4  adiabatic process(it is a sudden process) relation between P and V isPVγ=Constant  P1P2=V2V1γ  substitute the given values in above equation  PP2=V4V32 ⇒PP2=18P2=8P  given P= 1 atm ⇒P2=8 atm
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