contestada

Three Carnot engines operate between the following temperature limits.
a) 400 and 500 K
b) 500 and 600 K
c) 400 and 600 K
Each engine extracts the same amount of energy per cycle from the high-temperature reservoir. Rank the magnitudes of the work done by the engines per cycle, greatest first. (NOTE: Use only the symbols > or = , for example b>a=c.)

Respuesta :

Answer:c>a>b

Explanation:

Given

All the engine extracts same amount of heat(Q) from High-temperature reservoir

For a) 400 and 500 K

[tex]\eta _{engine}=1-\frac{T_L}{T_H}[/tex]

[tex]\eta _{engine}=\frac{work\ supplied}{heat\ supplied}[/tex]

[tex]1-\frac{400}{500}=\frac{W_a}{Q}[/tex]

[tex]W_a=\frac{Q}{5}[/tex]

For b)500 K and 600K

[tex]1-\frac{500}{600}=\frac{W_b}{Q}[/tex]

[tex]W-b=\frac{Q}{6}[/tex]

For c) 400 K and 600 K

[tex]1-\frac{400}{600}=\frac{W_c}{Q}[/tex]

[tex]W_c=\frac{2Q}{3}[/tex]

So c will give the highest amount of work

c>a>b

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