The ratio \(C_P/C_V=1.5\) for a certain ideal gas. The gas is taken at an initial pressure of \(2\) kPa and compressed suddenly to \(\frac14\) of its initial volume. The final pressure is:
1. \(\frac12\) kPa
2. \(4\) kPa
3. \(8\) kPa
4. \(16\) kPa
The quantity of heat required to take a system from \(\mathrm{A}\) to \(\mathrm{C}\) through the process \(\mathrm{ABC}\) is \(20\) cal. The quantity of heat required to go from \(\mathrm{A}\) to \(\mathrm{C}\) directly is:
1. \(20\) cal
2. \(24.2\) cal
3. \(21\) cal
4. \(23\) cal
Refer to figure given below. Let \(ΔU_1\) and \(ΔU_2\) be the change in internal energy in processes \(A\) and \(B\) respectively, \(ΔQ\) be the net heat given to the system in process \(A + B\) and \(ΔW\) be the net work done by the system in the process \( A + B.\)
For the above figure:
(a) | \(\Delta U_1+\Delta U_2=0\) |
(b) | \(\Delta U_1-\Delta U_2=0\) |
(c) | \(\Delta Q-\Delta W=0\) |
(d) | \(\Delta Q+\Delta W=0\) |
Choose the correct option:
1. (a), (b)
2. (b), (c)
3. (c), (d)
4. (a), (c)
An ideal gas goes from the state \(i\) to the state \(f\) as shown in figure given below. The work done by the gas during the process,
1. | is positive |
2. | is negative |
3. | is zero |
4. | cannot be obtained from this information |
Consider the process on a system shown in the figure. During the process, the work done by the system:
1. | continuously increases |
2. | continuously decreases |
3. | first increases then decreases |
4. | first decreases then increases |
If heat is supplied to an ideal gas in an isothermal process,
1. | the internal energy of the gas will increase. |
2. | the gas will do positive work. |
3. | the gas will do negative work. |
4. | the said process is not possible. |
The first law of thermodynamics is a statement of:
1. | conservation of heat |
2. | conservation of work |
3. | conservation of momentum |
4. | conservation of energy |