Two gases A and B having same initial state ( P, V, n, T). Now gas A is compressed to V/8 by isothermal process and other gas B is compressed to V/8 by adiabatic process. The ratio of final pressure of gas A and B is (Both gases are monoatomic, γ = 5/3) (a) 1/8 (b) 1/4 (c) 1/64 (d) 1/12

Answer: (b). Isothermal: PA = P × 8 = 8P. Adiabatic: PB = P × 85/3 = 32P. (PA)/(PB) = 8/32 = 1/4 So the answer is (b) 1/4.

Two gases A and B having same initial state ( P, V, n, T). Now gas A… | MHT CET 2024 (11 May, Shift 1)

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Thermodynamic Processes

Two gases A and B having same initial state ( $P, V, n, T$ ). Now gas A is compressed to $\frac{V}{8}$ by isothermal process and other gas B is compressed to $\frac{V}{8}$ by adiabatic process. The ratio of final pressure of gas $A$ and $B$ is (Both gases are monoatomic, $\gamma = 5/3$ )

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Answer: (b)

Isothermal: $P_A = P \times 8 = 8P$ .
Adiabatic: $P_B = P \times 8^{5/3} = 32P$ .
$\frac{P_A}{P_B} = \frac{8}{32} = \frac{1}{4}$
So the answer is (b) $\frac{1}{4}$ .

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Thermodynamic Processes question from MHT CET 2024 (11 May, Shift 1)

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