AP EAMCET · PHYSICS · Thermodynamics
A monatomic gas of volume ' \(\mathrm{V}\) ' and pressure ' \(\mathrm{P}\) ' expands isothermally to a volume ' \(27 \mathrm{~V}\) ' and then compressed adiabatically to a volume ' \(\mathrm{V}\) '. The final pressure of the gas is
- A \(3 P\)
- B \(2 P\)
- C \(9 P\)
- D \(4 P\)
Answer & Solution
Correct Answer
(C) \(9 P\)
Step-by-step Solution
Detailed explanation
\(P_1=P: V_1=V ; V_2=27 V\) For isothermally \(\begin{aligned} & P_1 V_1=P_2 V_2 \\ & P_2=\frac{P_1 V_1}{V_2} \\ & =\frac{P \times V}{27 V}=\frac{P}{27} \end{aligned}\) For adiabatically…
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