A basement refrigerator is used to store cool beverages during the long hot summer. The refrigerator is maintained at 2°C and the ambient basement temperature is 20°C. Glass bottles filled with cola at 25°C are placed in the refrigerator. Each bottle weighs 0.20 kg and there is 0.25 kg of cola in each bottle. Assume the glass bottles are in thermal equilibrium with the cola at all times (i.e. the temperature of the bottles and cola are equal). The available energy (work to cool the bottles of cola in the refrigerator space is 110 kJ.
The coefficient of performance of the refrigerator is 0.20% of that of a Carnot refrigerator. Assume the bottle has the properties of plate glass, and the cola has the properties of saturated liquid water.
How many bottles containing cola can be placed in the refrigerator and cooled to 2°C?
