What amount of heat must be supplied to $$2.0\times 10^{-2}~\text{kg}$$ of nitrogen (at room temperature) to raise its temperature by $$45~^{\circ}\text{C}$$ at constant pressure? (Molecular mass of $$N_2 =28,~R= 8.314~\text{J mol}^{-1}\text{K}^{-1}$$${}^{}$).
1. $$935~\text{J}$$
2. $$934~\text{J}$$
3. $$936~\text{J}$$
4. $$930~\text{J}$$

Subtopic: Â Types of Processes |
Â 59%
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A cylinder with a movable piston contains $$3$$ moles of hydrogen at standard temperature and pressure. The walls of the cylinder are made of a heat insulator, and the piston is insulated by having a pile of sand on it. By what factor does the pressure of the gas increase if the gas is compressed to half its original volume?

 1 $$3.70$$ 2 $$2.12$$ 3 $$2.64$$ 4 $$3.33$$

Subtopic: Â Types of Processes |
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In changing the state of a gas adiabatically from an equilibrium state $$A$$ to another equilibrium state $$B$$, an amount of work equal to $$22.3~\mathrm{J}$$ is done on the system. If the gas is taken from state $$A$$ to $$B$$ via a process in which the net heat absorbed by the system is $$9.35~\mathrm{cal}$$, the net work done by the system in the latter case is approximately:
(Take $$1~\mathrm{cal}=4.2~\mathrm{J}$$)
1. $$15~\mathrm{J}$$
2. $$20~\mathrm{J}$$
3. $$14~\mathrm{J}$$
4. $$17~\mathrm{J}$$

Subtopic: Â First Law of Thermodynamics |
Â 58%
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Two cylinders, A and B, of equal capacity are connected to each other via a stopcock. A contains gas at a standard temperature and pressure. B is completely evacuated. The entire system is thermally insulated. If the stopcock is suddenly opened, then the change in internal energy of the gas is:

 1 0 2 5 J 3 1 J 4 3 J

Subtopic: Â First Law of Thermodynamics |
Â 88%
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An electric heater supplies heat to a system at a rate of $$100~\text{W}$$. If the system performs work at a rate of $$75~\text{J/s}$$. At what rate is the internal energy increasing?
1. $$20~\text{W}$$
2. $$25~\text{W}$$
3. $$29~\text{W}$$
4. $$27~\text{W}$$

Subtopic: Â First Law of Thermodynamics |
Â 88%
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A thermodynamic system is taken from an original state to an intermediate state by the linear process shown in the figure. Its volume is then reduced to the original value from $$\mathrm{E}$$ to $$\mathrm{F}$$ by an isobaric process. The total work done by the gas from $$\mathrm{D}$$ to $$\mathrm{E}$$ to $$\mathrm{F}$$ is:

1. $$600$$ J
2. $$300$$ J
3. $$450$$ J
4. $$500$$ J

Subtopic: Â Work Done by a Gas |
Â 83%
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