An ideal gas heat engine operates in Carnot cycle between 227oC and 127oC. It absorbs 6 × 104 cal of heat at higher temperature. Amount of heat converted to work is (a) 4.8 × 104 cal (b) 6 × 104 cal (c) 2.4 × 104 cal (d) 1.2 × 104 cal.

Answer: (d). T₁ = 500 K, T₂ = 400 K, so η = 1 - (400)/(500) = 0.2 W = 0.2 × 6 × 10⁴ = 1.2 × 10⁴ cal So the answer is (d) 1.2 × 10⁴ cal.

An ideal gas heat engine operates in Carnot cycle between 227oC and… | NEET 2005 (AIPMT)

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Heat Engines, Refrigerators & Second Law

An ideal gas heat engine operates in Carnot cycle between 227oC and 127oC. It absorbs 6 $\times$ 104 cal of heat at higher temperature. Amount of heat converted to work is

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Answer: (d)

$T_1 = 500$ K, $T_2 = 400$ K, so $\eta = 1 - \frac{400}{500} = 0.2$
$W = 0.2 \times 6 \times 10^4 = 1.2 \times 10^4$ cal
So the answer is (d) $1.2 \times 10^4$ cal.

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