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Question

The pressure and volume of gas(air) are P and V respectively. If it is compressed suddenly to 132 of its initial volume then its final pressure will be

A
P128
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B
P32
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C
128P
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D
32P
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Solution

The correct option is C 128P
Sudden compression is adiabatic as there is no scope for heat exchange in such short notice.
Thus PVγ =constant ,where γ=7/5
Hence, PiV7/5i=PfV7/5f
PV7/5=Pf(V32)7/5Pf=128P
Hence final pressure is 128P.

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