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JEE Main levelOne or more correct optionsDifficulty 2 of 3td190

Select all correct statements for ideal gases.

A $C_{P} - C_{V} = R$ per mole for every ideal gas
B $C_{V} = \frac{3}{2} R$ for a monatomic ideal gas
C $γ$ of a rigid diatomic gas is greater than $γ$ of a monatomic gas
D $γ > 1$ for every ideal gas

Answer: A, B, D

Mayer's relation

C_{P} - C_{V} = R

holds for all ideal gases, so

γ = 1 + R / C_{V} > 1

. A monatomic gas has

C_{V} = 3 R /2

. The diatomic

γ = 1.40

is smaller than the monatomic

γ = 1.67

, so the third statement is false.

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