AP EAMCET · PHYSICS · Thermodynamics
Two containers \(A\) and \(B\) contain equal volumes of an identical gas at the same pressure and temperature. The gas in container \(A\) is compressed to half its original volume isothermally, while the gas in container \(B\) is compressed to half its original volume adiabatically. The ratio of the final
pressure of gas in container \(B\) to that of gas in container \(A\) is
- A \((2)^{\gamma-1}\)
- B \(\left(\frac{1}{2}\right)^{\gamma-1}\)
- C \(\left(\frac{1}{1-\gamma}\right)^2\)
- D \(\left(\frac{1}{\gamma-1}\right)^2\)
Answer & Solution
Correct Answer
(A) \((2)^{\gamma-1}\)
Step-by-step Solution
Detailed explanation
Given, Initial volume of container \(A, V_A=V\) Initial volume of container \(B, V_B=V\) Initial pressure in \(A\left(p_A\right)=\) Initial pressure in \[ B\left(p_B\right)=p \] Let their final volumes be \(V_A^{\prime}=V_B^{\prime}=\frac{V}{2}\) and their final pressure be…
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