An engine that operates at half its theoretical (Carnot) efficiency, operates between 54 5 ∘ C and 31 0 ∘ C while producing work at the rate of 1000 kW. How much heat is discharged per hour?

η C a r n o t = 818 235 = 0.2873 , η = 0.1436 . Heat input rate = 0.1436 1 0 6 = 6.96 × 1 0 6 W. Discharged = 5.96 × 1 0 6 W × 3600 = 2.15 × 1 0 10 J/h.

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Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoThermodynamics Laws & Specific Heats of GasesMedium2 minQB

PhysicsMediuminteger

An engine that operates at half its theoretical (Carnot) efficiency, operates between $54 5^{\circ}$ C and $31 0^{\circ}$ C while producing work at the rate of 1000 kW. How much heat is discharged per hour?

Answer:

21500000000

Solution:

$η_{C a r n o t} = \frac{235}{818} = 0.2873$ , $η = 0.1436$ . Heat input rate = $\frac{1 0 ^{6}}{0.1436} = 6.96 \times 1 0^{6}$ W. Discharged = $5.96 \times 1 0^{6}$ W $\times 3600 = 2.15 \times 1 0^{10}$ J/h.

Subject:PhysicsTopic:Heat & ThermoSubtopic:Thermodynamics Laws & Specific Heats of Gases

⏱ 2mℹ️ Source: QB

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