AP EAMCET · PHYSICS · Thermodynamics
An ideal gas is found to obey \(p V^{\frac{3}{2}}=\) constant during an adiabatic process. If such a gas initially at a temperature \(T\) is adiabatically compressed to half of its initial volume, then its final temperature is
- A \(\sqrt{2} T\)
- B 2T
- C \(2 \sqrt{2} T\)
- D 4T
Answer & Solution
Correct Answer
(A) \(\sqrt{2} T\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { Given, } p V^\gamma=\text { constant , } \gamma=\frac{3}{2} \\ & \Rightarrow T V^{\gamma-1}=\text { constant } \Rightarrow T_f=T_i\left(\frac{V_i}{V_f}\right)^{r-1} \\ & \Rightarrow T_f=T\left(\frac{2 V_f}{V_f}\right)^{\frac{3}{2}-1} \Rightarrow…
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