Two insulated rigid vessels hold 0.25 mol He and n mol H₂. Initially at same temperature, they receive equal heat, and their temperature rises equally. Find n.
Physics · Mixed Chapter
JEE Main Practice

Question

Two insulated rigid vessels hold 0.25 mol He and n mol H₂. Initially at same temperature, they receive equal heat, and their temperature rises equally. Find n.

G1 Physics · Accepted Answer

Step 1: Rigid vessels mean constant-volume heating: Q = nCᵥΔT. Step 2: Equal heat and equal ΔT imply (0.25)(3R/2) = n(5R/2). Step 3: Cancel R/2 and solve n = 0.25×3/5 = 0.15 mol.