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JEE Main levelSingle correct optionDifficulty 2 of 3td025

A monatomic ideal gas initially at $300 K$ is compressed reversibly and adiabatically to half its volume. The final temperature is closest to

A $396 K$
B $476 K$
C $424 K$
D $600 K$

Answer: B

For a reversible adiabatic process

T V^{γ - 1} = const

with

γ = 5/3

:

T_{2} = 300 \times 2^{2/3} = 476.2 K

. Using

γ = 7/5

gives 396 K, which is wrong for a monatomic gas.

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