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Q.

For an adiabatic expansion of an ideal gas, the fractional change in its pressure is equal to (where γ is the ratio of specific heats):

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a

dVV

b

−1γdVV

c

−γVdV

d

−γdVV

answer is D.

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Detailed Solution

Equation of adiabatic process is PVγ=constant PγVγ−1dV+VγdP=0     Or  dPP=−γdVV is the fractional change in pressure.
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For an adiabatic expansion of an ideal gas, the fractional change in its pressure is equal to (where γ is the ratio of specific heats):