Thermodynamics

JEE Main level, single correct, medium

47 of 190

Question 47 of 190

The internal energy (U)\left(U\right), pressure (P)\left(P\right) and volume (V)\left(V\right) of an ideal gas are related as U=3PV+4.U=3PV+4. The gas is

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Answer: (B) polyatomic only

U=3PV+4U=3PV+4
nf2RT=3PV+4\dfrac{nf}{2}RT=3PV+4
f2PV=3PV+4\dfrac{f}{2}PV=3PV+4
f=6+8PVf=6+\dfrac{8}{PV}
Since degree of freedom is more than
66 therefore gas is polyatomic

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