Question

An inventor claims to have devised a closed cyclic engine which exchanges heat with cold and hot reservoirs at 25 and 350 ◦C, respectively, and produces 0.45 kJ of work for every kJ of heat extracted from the hot reservoir. Is this claim believable?

Answer 1

Step-by-step explanation:

The given data is as follows.

`T_(c) = 25^(o)C`,
`T_(h) = 350^(o)C`

Work produced per kJ of heat extracted from hot reservoir = 0.45 kJ = Efficiency

If the device is Carnot cycle then its efficiency will be maximum and its value will be equal to
`[1 - ((T_(c))/(T_(h)) )]`

Using this relation we will calculate the efficiency as follows.

Efficiency =
`[1 - ((T_(c))/(T_(h)) )]`

=
`1 - ((25)/(350))`

= 0.928

Hence, it means that this type of device is possible and the claim is also believable.