Q 11-11-022NEETJEE MainMedium
An ideal gas at $27°$C is compressed adiabatically to $\dfrac{1}{8}$ of its original volume. If $\gamma = \dfrac{5}{3}$, its final temperature is
Answer: (A) $1200$ K
Concept. Adiabatic: $TV^{\gamma - 1} = $ constant.
Step 1. Substitute. $T_2 = 300 \times 8^{2/3} = 300 \times 4 = 1200$ K.
Answer. $1200$ K (Option A).
Solution by Sreeraj P, M.Sc Physics