One mole of an ideal diatomic gas (γ=1.4, R=8.314Jmol−1K−1) is initially at pressure 2.00×105Pa and temperature 300K. The gas undergoes the following two-step reversible process:
Step-1: Isothermal expansion at 300K until its volume doubles.
Step-2: Adiabatic compression until its pressure again becomes 2.00×105Pa.
a. (i) Calculate the initial volume of the gas.
b. (ii) Determine the work done by the gas during Step-1.
c. (iii) Find the final volume after Step-2.
d. (iv) Calculate the work done by the gas during Step-2.
e. (v) Compute the net work done by the gas for the complete two-step path.