An ideal gas is heated at constant pressure and in this process, it absorbs Q amount of heat. If the adiabatic exponent is γ , then the fraction of heat absorbed in performing the work is

Question

An ideal gas is heated at constant pressure and in this process, it absorbs Q amount of heat. If the adiabatic exponent is γ , then the fraction of heat absorbed in performing the work is, 1 - 1 γ, 1 + 1 γ, 1 - 2 γ, 1 + 2 γ

MARKS App · Accepted Answer

Heat absorbed by the system at constant pressure Q = n c p ∆ T Change in internal energy ∆ U = n c v ∆ T W = Q - ∆ U ∴ W Q = Q - ∆ U Q = 1 - ∆ U Q = 1 - n c v ∆ T n c p ∆ T = 1 - c v c p = 1 - 1 γ

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