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
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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.
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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. | \(380~\mathrm{K}\) |
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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. |
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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
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ABCA is a cyclic process. Its P-V graph would be:
1. | 2. | ||
3. | 4. |
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1. | \(1000~\text{J}\) | 2. | zero |
3. | \(-2000~\text{J}\) | 4. | \(2000~\text{J}\) |
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A thermodynamic system undergoes a cyclic process \(ABCDA\) as shown in Fig. The work done by the system in the cycle is:
1. \( P_0 V_0 \)
2. \( 2 P_0 V_0 \)
3. \( \frac{P_0 V_0}{2} \)
4. zero
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A monoatomic gas at a pressure \(P\), having a volume \(V\), expands isothermally to a volume \(2V\) and then adiabatically to a volume \(16V\). The final pressure of the gas is: \(\left(\text{Take:}~ \gamma = \frac{5}{3} \right)\)
1. | \(64 ~P\) | 2. | \(32~P\) |
3. | \(\frac{P}{64}\) | 4. | \(16~P\) |
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