We consider a thermodynamic system. If ∆U represents the increase in its internal energy and W the work done by the system, which of the following statements is true?
1. | \(\Delta \mathrm{U}=-\mathrm{W}\) in an isothermal process |
2. | \(\Delta \mathrm{U}=\mathrm{W}\) in an isothermal process |
3. | \(\Delta \mathrm{U}=-\mathrm{W}\) in an adiabatic process |
4. | \(\Delta \mathrm{U}=\mathrm{W}\) in an adiabatic process |
One mole of an ideal gas at an initial temperature of \(T\) K does \(6R\) joules of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is \(5/3\), the final temperature of the gas will be:
1. \((T-2.4)\) K
2. \((T+4)\) K
3. \((T-4)\) K
4. \((T+2.4)\) K