# 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 <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> by $$50$$% of its original efficiency? 1. $$275~\mathrm{K}$$ 2. $$325~\mathrm{K}$$ 3. $$250~\mathrm{K}$$ 4. $$380~\mathrm{K}$$

Subtopic:  Carnot Engine |
64%
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AIPMT - 2006
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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

Subtopic:  Work Done by a Gas |
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The pressure of a monoatomic gas increases linearly from $4×{10}^{5}$ N/m2 to $8×{10}^{5}$ 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.

Subtopic:  Work Done by a Gas |
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A gas is taken through the cycle $$A\rightarrow B\rightarrow C\rightarrow A$$, as shown. What is the total amount of work done by the gas?

 1 $$1000~\text{J}$$ 2 zero 3 $$-2000~\text{J}$$ 4 $$2000~\text{J}$$
Subtopic:  Work Done by a Gas |
74%
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AIPMT - 2013
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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

Subtopic:  Cyclic Process |
81%
From NCERT
AIPMT - 2014
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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 $$16~P$$
Subtopic:  Types of Processes |
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AIPMT - 2014
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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.

Subtopic:  First Law of Thermodynamics |
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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

Subtopic:  Cyclic Process |
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$$ABCA$$ is a cyclic process. Its $$P\text-V$$ graph would be:

 1 2 3 4
Subtopic:  Cyclic Process |
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The efficiency of an ideal heat engine (Carnot heat engine) working between the freezing point and boiling point of water is:
1. $$26.8\%$$
2. $$20\%$$
3. $$6.25\%$$
4. $$12.5\%$$

Subtopic:  Carnot Engine |
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From NCERT
NEET - 2018
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