Question 14. You want to make ice cubes for your drink. In order to do so, you h

Question

Question 14. You want to make ice cubes for your drink. In order to do so, you have filled the ice cube tray with 500 g of water at 20 °C, and put it in the freezer compartment of your refrigeratort is at -18 °C, therefore ice cubes will reach the temperature of -18 °C after forming. How much energy (in kilo-Joules) will your refrigerator need to remove from the water in order to make those ice cubes? Give your answer in kJ. The specific heat capacity of ice is Cice 2.1 JK.g', the latent heat of fusion for ice is Lf ice- 334 J/g, and water heat capacity Cs is 4.184 JKg1 (4 pts)

Explanation / Answer

to reduce temperatrue to 0 deg C,

Q1 = m C deltaT = 500 x 4.186 x (20 -0)

Q1 = 41860 J

to freeze the water,

Q2 = m Lf = 500 x 334 = 167000 J

to reduce the temp of ice ,

Q3 = (500)(2.1 ) (18) = 18900 J  

Q = Q1 + Q2 + Q3 = 227760 J

= 227.76 kJ

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