Question

An ideal heat engine runs with a high temperature reservoir at 750K and a low temperature reservoir at 350K. When the engine is running, it extracts 400 joules of energy from the hot reservoir and does 250 joules of work each minute. How much energy is expelled to the low temperature reservoir each minute

Answer 1

150 joules of energy is expelled to the low temperature reservoir each minute.

Step-by-step explanation:

Lets assign the terms first.

`T_H ,T_L,Q_H,Q_L,W` where ...

`T_H` = 750 K that is, the high temperature of the reservoir.

`T_L` = 350 K, low temperature of the reservoir.

`Q_H` = 400 J,energy extract from the reservoir.

`W` = 250 J, work done.

`Q_L` = energy expelled.

And

Formula to be used:

⇒
`Q_H=W+Q_L`

Re-arranging.

⇒
`Q_L=Q_H-W`

Now plugging the values of
`Q_H` and
`W`.

⇒
`Q_L=400-250`

⇒
`Q_L=150` Joules

So energy expelled to the low temperature reservoir is of 150 joules.