Question

A heat engine operates between a hot reservoir with a temperature of 400 K and a cold reservoir with a temperature of 300 K. The engine accepts 500 J of energy from the hot reservoir, does 150 J of work, and exhausts 350 J of energy into the cold reservoir. 1) Does this engine violate any laws of thermodynamics?

Answer 1

Step-by-step explanation:

Given

Temperature of Hot reservoir
`T_1=400 K`

Temperature of Cold reservoir
`T_2=300 K`

Heat reservoir
`Q=500 J`

Work done
`W=150 J`

heat Exhaust
`Q_(rejection )=350 J`

`Q=W+Q_(rejected)`

`500=150+350`

L.H.S=R.H.S

thus it follows first law

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

`\eta _(carnot)=1-(300)/(400)`

`\eta _(carnot)=0.25`

Cycle Efficiency

`\eta =(W)/(Q)=(150)/(500)=0.3`

Carnot efficiency is less than cycle thus it violates second law