Question

A particular refrigerator cools by evaporating liquefied dichlorodifluoromethane, CCl2F2. How many kilograms of this liquid must be evaporated to freeze a tray of water at 0°C to ice at 0°C? The mass of the water is 571 g, the heat of fusion of ice is 6.02 kJ/mol, and the heat of vaporization of dichlorodifluoromethane is 17.4 kJ/mol.

Answer 1

1.33 kilograms of this liquid must be evaporated to freeze a tray of water at 0°C to ice at 0°C.

Step-by-step explanation:

Let the mass of liquefied dichlorodifluoromethane be x.

Mass of water to freeze = 571 g

Moles of water =
`(571 g)/(18 g/mol)=31.7 mol`

Heat of fusion of ice = 6.02 kJ/mol

Heat lost when 1 mole of water freeze's = -6.02kJ/mol

Heat lost when 31.7 moles of water freeze's: Q

`Q=-6.02 kJ/mol* 31.7 mol=-191. kJ`

Heat required to evaporate x amount of liquefied dichlorodifluoromethane: Q'

Q'= -(Q) = 191. kJ

Moles of liquefied dichlorodifluoromethane =
`(x)/(121 g/mol)`

Heat of vaporization of dichlorodifluoromethane = 17.4 kJ/mol

`Q'=17.4 kJ/mol* (x)/(121 g/mol)`

`191. kJ=17.4 kJ/mol* (x)/(121 g/mol)`

Solving for x:

x = 1328.2 g = 1.33 kg

1 g = 0.001 kg

1.33 kilograms of this liquid must be evaporated to freeze a tray of water at 0°C to ice at 0°C.