In changing the state of a gas adiabatically from an equilibrium state \(A\) to another equilibrium state \(B,\) an amount of work equal to \(22.3~\text{J}\) 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 \(9.35~\text{cal},\) the net work done by the system in the latter case is approximately:
(Take \(1~\text{cal}=4.2~\text{J} \))

1. \(15~\text{J}\)
2. \(20~\text{J}\)
3. \(14~\text{J}\)
4. \(17~\text{J}\)
Subtopic:  First Law of Thermodynamics |
 63%
Level 2: 60%+
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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. \(5~\text{J}\)
3. \(1~\text{J}\)
4. \(3~\text{J}\)
Subtopic:  First Law of Thermodynamics |
 90%
Level 1: 80%+
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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:  First Law of Thermodynamics |
 89%
Level 1: 80%+
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