Assignment:
Question 1. 10^(-3) m^3 of lead is compressed reversibly and isothermally at room temperature from 1 to 1000 atm pressure. Using one of Maxwell’s thermodynamic relations to find the following:
a) The change in entropy
b) The heat given out
c) The change in internal energy of the lead
Isothermal compressibility of lead is ( –(1/V) (∂V/∂p)T) = 2.2*10^-6 atm^-1
Volume Coefficient of Expansion is (1/V) (∂V/∂T)p = 8*10^-5 K^-1
1 atm = 10^5 Pa
Question 2. Calculate the change in temperature of 10^(-3) m^3 of lead undergoing a reversible and adiabatic compression from 1 to 1000 atms. The adiabatic compressibility of lead is assumed to be independent of pressure with a value of 2.2*10^-6 atm^-1
(Hint: write down the partial differential coefficient of temperature with respect to pressure in an adiabatic , reversible process and convert this by a Maxwell relation. Re-express the result in terms of measurable quantities.)