P3C.3 The molar heat capacity of lead varies with temperature as follows: (a) Use the Debye T3-law and the value of the heat capacity at 10K to determine the change in entropy between 0 and 10K. (b) To determine the change in entropy between 10K and 298K you will need to measure the area under a plot of Cp,m/T against T. This measurement can either be done by counting squares or by using mathematical software to fit the data to a simple function (for example, a polynomial) and then integrating that function over the range 10K to 298K. Use either of these methods to determine the change in entropy between 10K and 298K. (c) Hence determine the standard ThirdLaw entropy of lead at 298K, and also at 273K