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An inventor claims to have devised a cyclical power engine that operates with a fuel whose temperature is 750 °C and radiates waste heat to a sink at 0 °C. He also claims that this engine produces 3.3 kW while rejecting heat at a rate of 4.4 kW. Is this claim valid?

Respuesta :

Answer:

Yes

Explanation:

Given Data

Temprature of source=750°c=1023k

Temprature of sink =0°c=273k

Work produced=3.3KW

Heat Rejected=4.4KW

Efficiency of heat engine(η)=[tex]\frac{Work produced}{Heat supplied}[/tex]

and

Heat Supplied [tex]{\left (Q_s\right)}=Work Produced(W)+Heat rejected\left ( Q_r \right )[/tex]

[tex]{Q_s}=3.3+4.4=7.7KW[/tex]

η=[tex]\frac{3.3}{7.7}[/tex]

η=42.85%

Also the maximum efficiency of a heat engine operating between two different Tempratures i.e. Source & Sink

η=1-[tex]\frac{T_ {sink}}{T_ {source}}[/tex]

η=1-[tex]\frac{273}{1023}[/tex]

η=73.31%

Therefore our Engine Efficiency is less than the maximum efficiency hence the given claim is valid.

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