Three samples of the same gas A, B and C (gam | vedclass

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(B) Let the initial volume be $V_i$ and the final pressure be $P_f$ for all three gases.For gas $A$ (adiabatic process): $P_A V_i^\gamma = P_f (2V_i)^

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$2\sqrt{2} : 1 : 2$

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(B) Let the initial volume be $V_i$ and the final pressure be $P_f$ for all three gases.For gas $A$ (adiabatic process): $P_A V_i^\gamma = P_f (2V_i)^\gamma \Rightarrow P_A = P_f (2)^\gamma = P_f (2)^{3/2} = 2\sqrt{2} P_f$.For gas $B$ (isobaric process): $P_B = P_f$ (since pressure remains constant in an isobaric process).For gas $C$ (isothermal process): $P_C V_i = P_f (2V_i) \Rightarrow P_C = 2P_f$.The ratio of initial pressures $P_A : P_B : P_C = 2\sqrt{2} P_f : P_f : 2P_f = 2\sqrt{2} : 1 : 2$.

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