Two perfectly insulated gas canisters contain air with a specific heat capacity of and a density of 1.35 kg/m. One cylinder contains 25 L of air at a temperature of and the other contains 15 L of air at a temperature of . The canisters are connected and the gas in both is allowed to come to an equilibrium temperature. Find the equilibrium temperature to three significant figures.
Some hot water that has a mass of 750 g and a temperature of is poured over 1,500 g of an unknown substance that has a temperature of . The temperatures of the water and the substance are both monitored. At an instant , the water temperature is and the substance temperature is . Find the specific heat capacity of the substance. Use a value of for the water’s specific heat capacity. Assume that the water does not heat its surroundings.
A 2.5 L volume of water at a temperature of is added to a perfectly insulated container that holds a 45 kg block of lead. After the water and the lead have equalized each other’s net heating, the temperature of both substances is . Find the initial temperature of the lead block. Use a value of for the specific heat capacity of water and a value of for the specific heat capacity of lead. Answer to three significant figures.