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

Answer:

The correct answer is:

(a) 27.5 Joules

(b) 141.5 Joules

Explanation:

Given:

Energy,

$Q_c = 110 \ J$

Coefficient of performance refrigerator,

$Cop(refrig)=4$

(a)

As we know,

⇒ $Cop(refrig) = \frac{Q_c}{Work}$

or,

⇒ $Work=\frac{Q_c}{Cop(refrig)}$

              $=\frac{110}{4}$

              $=27.5 \ Joules$

(b)

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

or,

⇒ $Q_h = Q_c+Work$

         $=114+27.5$

         $=141.5 \ Joules$