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Q.

An ideal gas is initially in the state (P, V,T). If the pressure is increased by an amount dP in an isothermal process, the volume decreases by an amount dV1. On the other hand, if the same increase in pressure is given in an adiabatic process from the same initial state, the volume decreases by an amount dV2.If dV1 and dV2 are small, the ratio dV1/dV2 is:

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a

1γ

b

γ

c

R

d

1

answer is B.

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Detailed Solution

For isothermal change P1V1=P2V2For adiabatic change P1Vγ1=P2Vγ2

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An ideal gas is initially in the state (P, V,T). If the pressure is increased by an amount dP in an isothermal process, the volume decreases by an amount dV1. On the other hand, if the same increase in pressure is given in an adiabatic process from the same initial state, the volume decreases by an amount dV2.If dV1 and dV2 are small, the ratio dV1/dV2 is: