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Question

If a monoatomic gas is suddenly compressed to 18 of its volume adiabatically, then the pressure of the gas is

A
8 times the initial
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B
16 times the initial
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C
32 times the initial
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D
128 times the initial
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Solution

The correct option is D 32 times the initial
In an adiabatic process we have P×Vγ constant .
γ for monoatomic is 5/3.
Therefore for V to become 1/8 of the original volume .
Substituting values in the equation will give final pressure to be 32P.

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