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))