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Question

For an adiabatic expansion of an ideal gas, the fractional change in its pressure is equal to 
  1. γVdV
  2. dVγV
  3. γdVV
  4. dVV


Solution

The correct option is C γdVV
Equation of state of an adiabatic process is given by
PVγ = constant
Differentiating on both sides, we get
VγdP+γPVγ1dV=0
or dPP=γdVV
Thus, option (d) is the correct answer.

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