Consider two containers A and B containing monoatomic gases at the same Pressure (P), Volume (V) and Temperature (T). The gas in A is compressed isothermally to 1/8 of its original volume while the gas in B is compressed adiabatically to 1/8 of its original volume. The ratio of final pressure of gas in B to that of gas in A is (a) 1/8 (b) 8 3/2 (c) 4 (d) 8

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

Consider two containers A and B containing monoatomic gases at the… | JEE Main 2023 (10 Apr, Shift 1)

Q157JEE Main 2023 · 10 APR · SHIFT 1Medium

Thermodynamic Processes

Consider two containers A and B containing monoatomic gases at the same Pressure (P), Volume (V) and Temperature (T). The gas in A is compressed isothermally to $\frac{1}{8}$ of its original volume while the gas in B is compressed adiabatically to $\frac{1}{8}$ of its original volume. The ratio of final pressure of gas in B to that of gas in A is

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Answer: (c)

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

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