The pressure of a monoatomic gas increases linearly from N/m2 to N/m2 when its volume increases from 0.2 m3 to 0.5 m3. The work done by the gas is:
1.
2.
3.
4.
A horizontal cylinder has two sections of unequal cross-sections in which two pistons, A and B, can move freely. The pistons are joined by a string. Some gas is trapped between the pistons. If this gas is heated, the pistons will:
1. | move to the left. |
2. | move to the right. |
3. | remain stationary. |
4. | move either to the left or to the right depending on the initial pressure of the gas. |
In the P-V diagram shown, the gas does 5 J of work in the isothermal process ab and 4 J in the adiabatic process bc. What will be the change in internal energy of the gas in the straight path from c to a?
1. 9J
2. 1 J
3. 4 J
4. 5 J
\(ABCA\) is a cyclic process. Its \(P\text-V\) graph would be:
1. | 2. | ||
3. | 4. |
If the ratio of specific heat of a gas at constant pressure to that at constant volume is , the change in internal energy of a mass of gas, when the volume changes from V to 2V at constant pressure, P is:
1. | 2. | PV | |
3. | 4. |
The degree of freedom per molecule for a gas on average is 8. If the gas performs 100 J of work when it expands under constant pressure, then the amount of heat absorbed by the gas is:
1. 500 J
2. 600 J
3. 20 J
4. 400 J
The pressure in a monoatomic gas increases linearly from 4 atm to 8 atm when its volume increases from 0.2 m to 0.5 m. The increase in internal energy will be:
1. | 480 kJ | 2. | 550 kJ |
3. | 200 kJ | 4. | 100 kJ |
If in the thermodynamic process shown in the figure, the work done by the system along A B C is 50 J and the change in internal energy during C A is 30 J, then the heat supplied during A B C is:
1. | 50 J | 2. | 20 J |
3. | 10 J | 4. | 80 J |
One mole of an ideal gas expands at a constant temperature of 300 K from an initial volume of 10 litres to a final volume of 20 litres.
The work done in expanding the gas is equal to:
(R = 8.31 J/mole-K)
1. 750 joules
2. 1728 joules
3. 1500 joules
4. 3456 joules
A Carnot engine whose sink is at \(300~\mathrm{K}\) has an efficiency of \(40\)%. By how much should the temperature of the source be increased to increase its efficiency by \(50\)% of its original efficiency?
1. | \(275~\mathrm{K}\) | 2. | \(325~\mathrm{K}\) |
3. | \(250~\mathrm{K}\) | 4. | \(380~\mathrm{K}\) |