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Question:

Pressure versus temperature graph of an ideal gas is as shown in figure. Density of the gas at point A is ρ₀. Density at point B will be:

32ρ₀

34ρ₀

2ρ₀

43ρ₀

Solution:

Ideal gas equation PV=nRT
Also nV=M/Mwhered and Mare the density and molar mass of the gas respectively
∴P=dMRT
⇒d=PMRT
At point A : dA=PAMRTA
⇒ρo=PoMRTo (1)
At point B : dB=PBMRTB
⇒dB=(3Po)MR(2To)=32ρo(from (1))