P-T diagram of an ideal gas having three different densities ρ₁, ρ₂, ρ₃ (in three different cases) is shown in the figure. Which of the following is correct:

Question

G1 Physics · Accepted Answer

For an ideal gas: PV = nRT n = m/M Therefore: P = (m/V)(RT/M) = ρRT/M At the same temperature: P ∝ ρ From the graph: P₁ > P₂ > P₃ Hence: ρ₁ > ρ₂ > ρ₃ Therefore, ρ₁ > ρ₂.