Question

A refrigerator has a coefficient of performance equal to 4.00. The refrigerator takes in 110 J of energy from a cold reservoir in each cycle. (a) Find the work required in each cycle. J (b) Find the energy expelled to the hot reservoir. J

Answer 1

The correct answer is:

(a) 27.5 Joules

(b) 141.5 Joules

Step-by-step explanation:

Given:

Energy,

`Q_c = 110 \ J`

Coefficient of performance refrigerator,

`Cop(refrig)=4`

(a)

As we know,

⇒
`Cop(refrig) = (Q_c)/(Work)`

or,

⇒
`Work=(Q_c)/(Cop(refrig))`

`=(110)/(4)`

`=27.5 \ Joules`

(b)

⇒
`Heat \ expelled = Heat \ removed +Work \ done`

or,

⇒
`Q_h = Q_c+Work`

`=114+27.5`

`=141.5 \ Joules`