TS EAMCET · Physics · Thermodynamics
An ideal gas at initial temperature \(T_0\) and initial volume \(V_0\) is expanded adiabatically to a volume \(2 V_0\). The gas is then expanded isothermally to a volume \(5 V_0\) and there after compressed adiabatically so that the temperature of the gas becomes again \(T_0\). If the final volume of the gas is \(\alpha V_0\), then the value of constant \(\alpha\) is
- A 2.5
- B 1.5
- C 2
- D 3
Answer & Solution
Correct Answer
(A) 2.5
Step-by-step Solution
Detailed explanation
For adiabatic expansion, \[ T_1 V_1^{\gamma-1}=T_2 V_2^{\gamma-1} \Rightarrow \frac{T_2}{T_1}=\left(\frac{V_1}{V_2}\right)^{\gamma-1} \] Here, \(T_1=T_0\)…
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