Write a program to solve the following problem. One of the gases listed in Table A.6 undergoes a reversible adiabatic process in a cylinder from P₁, T₁ to P₂. We wish to calculate the final temperature and the work for the process by three methods: 

a. Integrating the specific heat equation.
b. Assuming constant specific heat at temperature, T₁.
c. Assuming constant specific heat at the average temperature (by iteration).