400 cc volume of a gas having γ = 5 2 is suddenly compressed to 100 cc through an adiabatic process. If the initial pressure is P , then the final pressure will be

Question

400 cc volume of a gas having γ = 5 2 is suddenly compressed to 100 cc through an adiabatic process. If the initial pressure is P , then the final pressure will be, P / 32, 8 P, 32 P, 16 P

MARKS App · Accepted Answer

Here V 1 = 400 cc , V 2 = 100 cc ; γ = 5 2 Sudden compression is an adiabatic process. For an adiabatic process, PV γ = constant As P 2 V 2 γ = P 1 V 1 γ or P 2 = P 1 V 1 V 2 γ = P 400 100 5 / 2 = P × 4 × 4 4 = 3 2 P

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