Questions

A gas has molar heat capacity $C = 24.9 J / mol K$ in the process $P^{2} T = Constant$ . Then ( $R = 8.3 J / mol K$ )

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Gas is monoatomic

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detailed solution

Correct option is A

GivenMolar heat capacity C=24.9 J/mol KR=8.3J/molK As P2T= constant ⇒P2(PV)= constant ⇒P3V= constant ⇒PV1/3= constant ⇒(x=1/3)C=fR2+R1−x⇒24.9=f2+11−x8.3⇒24.9=f2+11−1/38.3⇒24.98.3=f2+32⇒f+3=6∴f=3After solving we get f=3⇒ So the gas is monoatomic

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