ThermodynamicsHard

Question

A monoatomic gas at pressure P1 and volume V1 is compressed adiabatically to of its original volume. What is the final pressure of the gas ?

Options

A.64 P1
B.P1
C.16 P1
D.32 P1

Solution

Ideal gas equation, for an abiabatic process is
PVγ = constant or P1V1γ = P2V2γ
For monoatomic gas
∴ P1V15/3 = P2         ⇒ P2 = P1 × (2)5 = 32P1

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