Question

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.)

Answer 1

Answer:c>a>b

Step-by-step explanation:

Given

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

For a) 400 and 500 K

`\eta _(engine)=1-(T_L)/(T_H)`

`\eta _(engine)=(work\ supplied)/(heat\ supplied)`

`1-(400)/(500)=(W_a)/(Q)`

`W_a=(Q)/(5)`

For b)500 K and 600K

`1-(500)/(600)=(W_b)/(Q)`

`W-b=(Q)/(6)`

For c) 400 K and 600 K

`1-(400)/(600)=(W_c)/(Q)`

`W_c=(2Q)/(3)`

So c will give the highest amount of work

c>a>b