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):
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):
Option 1 -
-γ(dV/V)
Option 2 -
dV/V
Option 3 -
-γ(V/dV)
Option 4 -
-(1/γ)(dV/V)
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1 Answer
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Correct Option - 1
Detailed Solution:PV? = C ⇒ V? (dP/dV) + P (γV^ (γ-1) = 0 ⇒ dP/dV = -γ (P/V) ⇒ dP/P = -γ (dV/V)
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