## Related questions with answers

Refrigeration units can be rated in "tons." A 1-ton air conditioning system can remove sufficient energy to freeze 1 British ton $\left(2000\right.$ pounds $=909 \mathrm{~kg}$ ) of $0^{\circ} \mathrm{C}$ water into $0^{\circ} \mathrm{C}$ ice in one 24-h day. If, on a $35^{\circ} \mathrm{C}$ day, the interior of a house is maintained at $22^{\circ} \mathrm{C}$ by the continuous operation of a 5 -ton air conditioning system, how much does this cooling cost the homeowner per hour? Assume the work done by the refrigeration unit is powered by electricity that costs $\$ 0.10$ per $\mathrm{kWh}$ and that the unit's coefficient of performance is $15 \%$ that of an ideal refrigerator. $1 \mathrm{kWh}=3.60 \times 10^6 \mathrm{~J}$.

Solution

VerifiedA refrigerator can freeze 909 kilograms of water (turn 0$\degree$C of water into 0$\degree$C of ice) in 24 hours, and this is rated as 1 ton. The temperature outside of the house is 35$\degree$C and the temperature of the interior of the house is 22$\degree$C, which is maintained by operation of 5 ton air conditioning system.

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