When volume changes from \(V\) to \(2V\) at constant pressure(\(P\)), the change in internal energy will be:
1. \(PV\)
2. \(3PV\)
3. \(\frac{PV}{\gamma -1}\)
4. \(\frac{RV}{\gamma -1}\)
1. | \(12~\text{J}\) | 2. | \(24~\text{J}\) |
3. | \(36~\text{J}\) | 4. | \(0~\text{J}\) |
1. | \(\Delta {U}=-{W}\) in an isothermal process. |
2. | \(\Delta {U}={W}\) in an isothermal process. |
3. | \(\Delta {U}=-{W}\) in an adiabatic process. |
4. | \(\Delta {U}={W}\) in an adiabatic process. |
The initial pressure and volume of a gas are P and V respectively. First, its volume is expanded to 4V by an isothermal process and then compressed adiabatically to volume V. The final pressure will be (γ = 1.5):
1. | 8P | 2. | 4P |
3. | P | 4. | 2P |
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
Which one of the following processes is reversible?
1. | Transfer of heat by radiation |
2. | Transfer of heat by conduction |
3. | Isothermal compression |
4. | Electrical heating of a nichrome wire |
An ideal gas heat engine operates in a Carnot cycle between 227ºC and 127ºC. It absorbs 6 × 104 cals of heat at higher temperatures.
The amount of heat converted to work will be?
1. 4.8 × 104 cals
2. 2.4 × 104 cals
3. 1.2 × 104 cals
4. 6 × 104 cals