Question

What volume of water at 0 ∘C can a freezer make into ice cubes in 1.5 h , if the coefficient of performance of the cooling unit is 9.0 and the power input is 1.2 kilowatt? Express your answer using two significant figures.

Answer 1

`1.7* 10^(-1)\ m^3`

Step-by-step explanation:

`\rho` = Density of water = 1000 kg/m³

Mass is given by

`m=\rho V\\\Rightarrow m=1000V`

`Q=mL\\\Rightarrow Q=1000V336000\\\Rightarrow Q=336* 10^(6)V`

Energy used is

`9* 1200=10800\ W`

`Q=10800* 1.5* 3600=58320000\ J`

`336* 10^(6)V=58320000\\\Rightarrow V=(58320000)/(336* 10^(6))\\\Rightarrow V=0.173571428571\ m^3`

The volume of water is
`1.7* 10^(-1)\ m^3`