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NEET levelSingle correct optionDifficulty 1 of 3td171

Taking $R = 8.314 J mo l^{- 1} K^{- 1}$ , the molar heat capacity at constant volume of a monatomic ideal gas is nearest to

A $12.47 J mo l^{- 1} K^{- 1}$
B $20.79 J mo l^{- 1} K^{- 1}$
C $8.31 J mo l^{- 1} K^{- 1}$
D $29.10 J mo l^{- 1} K^{- 1}$

Answer: A

A monatomic gas has three translational degrees of freedom, each contributing

R /2

. So

C_{V} = 3 R /2 = 1.5 \times 8.314 = 12.47 J mo l^{- 1} K^{- 1}

.

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