TS EAMCET · Physics · Thermodynamics
A gas is suddenly compressed such that its absolute temperature is doubled. If the ratio of the specific heat capacities of the gas is 1.5, then the percentage decrease in the volume of the gas is
- A \(30\)
- B \(50\)
- C \(25\)
- D \(75\)
Answer & Solution
Correct Answer
(D) \(75\)
Step-by-step Solution
Detailed explanation
\(T_1 V_1^{\gamma-1} = T_2 V_2^{\gamma-1} \Rightarrow \frac{V_2}{V_1} = \left(\frac{T_1}{T_2}\right)^{\frac{1}{\gamma-1}}\) \(\frac{V_2}{V_1} = \left(\frac{T_1}{2T_1}\right)^{\frac{1}{1.5-1}} = \left(\frac{1}{2}\right)^{\frac{1}{0.5}} = \left(\frac{1}{2}\right)^2 = \frac{1}{4}\)…
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