AP EAMCET · PHYSICS · Thermodynamics
An ideal gas is found to obey \(\mathrm{Pv}^{\frac{3}{2}}=\) constant during an adiabatic process. If such a gas initially at a temperature T is aḍiabatically compressed to \(\frac{1}{4}\) th of its volume, then its final temperature is
- A \(\sqrt{3 \mathrm{~T}}\)
- B \(\sqrt{2 \mathrm{~T}}\)
- C 2 T
- D 3 T
Answer & Solution
Correct Answer
(C) 2 T
Step-by-step Solution
Detailed explanation
\(\mathrm{Pv}^{\frac{3}{2}}=\) constant...(i) \(\text { Also, } \mathrm{PV}=\mathrm{nRT} \Rightarrow \mathrm{p}=\frac{\mathrm{nRT}}{\mathrm{~V}}\)...(ii) From eq(i) and (ii), we get…
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