Question

A refrigeration cycle has Qout = 1000 Btu and Wcycle = 300 Btu. Determine the coefficient of performance for the cycle.

Answer 1

The coefficient of performance for the cycle is 2.33.

Step-by-step explanation:

Given that,

Output energy
`Q_(out)=1000\ Btu`

Work done
`W_(cycle)=300\ Btu`

We need to calculate the coefficient of performance

Using formula of the coefficient of performance

`COP=\dftrac{Q_(in)}{W_(cycle)}`

We need to calculate the
`Q_(in)`

`W_(cycle)=Q_(out)-Q_(in)`

Put the value into the formula

`300=1000-Q_(in)`

`Q_(in)=300-1000`

`Q_(in)=700\ Btu`

Now put the value of
`Q_(in)` into the formula of COP

`COP=(700)/(300)`

`COP=(7)/(3)=2.33`

Hence, The coefficient of performance for the cycle is 2.33.