An ideal gas heat engine operate in Carnot cycle between 327 and 227. It absorbs 6 × 10⁴ cal of heat at higher temperature. How much is the amount of heat converted in to work? (a) 2 × 10⁴ cal (b) 1 × 10⁴ cal (c) 4 × 10⁴ cal (d) 3 × 10⁴ cal

Answer: (b). T₁ = 600 K, T₂ = 500 K, so η = 1 - (500)/(600) = 1/6 W = η Q₁ = 1/6 × 6 × 10⁴ = 1 × 10⁴ cal So the answer is (b) 1 × 10⁴ cal.

An ideal gas heat engine operate in Carnot cycle between 327 and 227… | MHT CET 2026 (12 May, Shift 2)

Q2MHT CET 2026 · 12 MAY · SHIFT 2Easy

Heat Engines, Refrigerators & Second Law

An ideal gas heat engine operate in Carnot cycle between $327^\circ\text{C}$ and $227^\circ\text{C}$ . It absorbs $6 \times 10^{4}$ cal of heat at higher temperature. How much is the amount of heat converted in to work?

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Answer: (b)

$T_1 = 600$ K, $T_2 = 500$ K, so $\eta = 1 - \frac{500}{600} = \frac{1}{6}$
$W = \eta Q_1 = \frac{1}{6} \times 6 \times 10^4 = 1 \times 10^4$ cal
So the answer is (b) $1 \times 10^4$ cal.

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