Figure shows plots of PV/T against P for 2 g of oxygen gas at two different temperatures T₁ and T₂. The value of PV/T where the curves meet on the X-axis is ______ J K⁻¹.
Physics · Mixed Chapter
JEE Main Practice

Question

Figure shows plots of PV/T against P for 2 g of oxygen gas at two different temperatures T₁ and T₂. The value of PV/T where the curves meet on the X-axis is ______ J K⁻¹.

G1 Physics · Accepted Answer

Step 1: Oxygen O₂ has molar mass 32 g mol⁻¹. Number of moles n = 2/32 = 0.0625 mol. Step 2: The low-pressure ideal-gas relation is PV = nRT, giving PV/T = nR. Step 3: PV/T = 0.0625 × 8.31 ≈ 0.519 J K⁻¹, agreeing with the source answer. Step 4: The graph's phrase 'curves meet on the X-axis' is inconsistent with a positive PV/T ordinate; this value is the ideal-gas intercept, not a justified horizontal-axis intersection. Source-key answer: 0.519 J K⁻¹. Figure/axis wording needs review.