In some solar-heated homes, heat from the sun is stored in rocks during the day and then released during the cooler night. (a) Calculate the amount...

In some solar-heated homes, heat from the sun is storedin rocks during the day and then released during the coolernight. (a) Calculate the amount of heat required to raisethe temperature of 78.7 kg of rocks from 25.0°C to 43.0°C.Assume that the rocks are limestone, which is essentiallypure calcium carbonate. The specific heat of calcium carbonateis 0.818 J/g°C. (b) Suppose that when the rocks inpart (a) cool to 30.0°C, all the heat released goes to warmthe 10,000 ft3 (2.83 x 105 L) of air in the house, originallyat 10.0°C. To what final temperature would the air beheated? The specific heat of air is 1.004 J/g°C, and itsdensity is 1.20 x 103 g/mL