500 J of energy is transferred as heat to 0.5 mol of Argon gas at 298 K and 1.00 atm . The final temperature and the change in internal energy respectively are (Given : ) [JEE Main 2025, 29 Jan (Shift 1)]

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YESPYQ · Accepted Answer

Correct answer: b) 348 K and 300 J. Argon is a monoatomic ideal gas At constant pressure: Q = nCₚΔT For monoatomic gas: Cₚ = (5/2)R Q = n × (5/2)R × ΔT 500 = 0.5 × (5/2) × 8.3 × ΔT (5/2) × 8.3 = 20.75 500 = 0.5 × 20.75 × ΔT 500 = 10.375 × ΔT ΔT = 500 / 10.375 ≈ 48 K T₂ = 298 + 48 = 346 K ≈ 348 K For monoatomic gas: ΔU = n × (3/2)R × ΔT = 0.5 × (3/2 × 8.3) × 48 = 0.5 × 12.45 × 48 ≈ 300 J Final Answer: 348 K and 300 J

500 J of energy is transferred as heat to 0.5 mol of Argon gas at 298 K and 1.00 atm . The final temperature and the cha…

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