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Question

Question: For an adiabatic reversible expansion of a perfect gas DP/P is equal to...

For an adiabatic reversible expansion of a perfect gas DP/P is equal to

A

ΔVV\frac{\Delta V}{V}

B

gΔVV\frac{\Delta V}{V}

C

– gΔVV\frac{\Delta V}{V}

D

– g2ΔVV\frac{\Delta V}{V}

Answer

– gΔVV\frac{\Delta V}{V}

Explanation

Solution

PVg = K

g PVg–1 dP + Vg dP = O

or – g PVg – 1 dV = Vg dP

or – g dVV\frac{dV}{V} = dPP\frac{dP}{P}