Question

Calculate the total amount of heat required to raise the temperature of 55 kg of ice from -16℃ to a vapor at 118℃.

Answer 1

Heat to rise ice temperature from -16 to 0:

$$Q_1=c_im\Delta T_1=1.848·10^6\text{ J}$$

Heat to melt ice:

$$Q_2=m\lambda=18.37·10^6\text{ J}$$

Heat to rice water temperature from 0 to 100°C:

$$Q_3=c_wm\Delta T_3=23.1·10^6\text{ J}$$

Heat to evaporate water:

$$Q_4=mL=124.3·10^6\text{ J}$$

Heat to increase steam temperature from 100 to 118°C:

$$Q_5=c_sm\Delta T_5=110550\text{ J}$$

Total amount of heat:

$$Q=Q_1+Q_2+Q_3+Q_4+Q_5,\\ Q=167.73·10^6\text{ J}.$$