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Consider two containers \(A\) and \(B\) containing monoatomic gases at the same Pressure \((P)\), Volume \((V)\) and Tem…

Q1

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 \(B\) 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:

[JEE Main 2023, 10 Apr (Shift 1)]

a

8

b

\(8^{\frac{3}{2}}\)

c

\(\frac{1}{8}\)

d

4

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