Chapter 17, Problem 37RCQ

The quantity of heat with temperature change is $Q=cm\Delta T$ . For a change of phase of water it is $Q=mL$ , where L_f is the heat of fusion, 80 cal/g, and L_v Is the heat of vaporization, 540cal/g.

37. The quantity of heat Q that changes the temperature $\Delta T$ of a mass m of a substance is given by $Q=cm\Delta T$ , Where c is the specific heat capacity of the substance. For example for H₂O, 1cal/g.⁰C, and for a change of phase, the quantity of heat Q that changes the phase of a mass m is $Q=mL$ , where L is the heat of fusion or heat of vaporization of the substance. For example, H₂O, the heat of fusion is 80cal/g (or 80kcal/kg) and the heat of vaporization is 540cal/g(or 540kcal/kg). use these relationships to determine the number of calories to change (a) I kg of 0⁰C ice to 0⁰C ice water, (b) 1 kg of 0⁰C ice water to 1 kg of 100⁰Cboiling water, (c) 1 kg of 100⁰Cboiling water to 1 kg of 100⁰C steam, and (d) 1 kg of 0⁰C ice to 1 kg of 100⁰C steam.