A monatomic ideal gas of N atoms has initial temperatureT0 and a volume V0, the gas is allowed toexpand slowly to fill a final volume of 7V0 in thefollowing ways:
- At constant temperature
- At constant pressure
- Adiabatically
For each case (a you must determine i, ii, and iii, for b and cdo the same) determine (i) the work done by thegas, (ii) the amount of energy transferred to thegas by heating, and (iii) the final temperature(very important). Express the solutions in terms of N,T0, V0, and k.