A sample of 0.1 g of water at \(100^{\circ}\mathrm{C}\) and normal pressure (1.013 × 105 Nm–2) requires 54 cal of heat energy to convert it into steam at \(100^{\circ}\mathrm{C}\). If the volume of the steam produced is 167.1 cc,
then the change in internal energy of the sample will be:
1. 104.3 J
2. 208.7 J
3. 42.2 J
4. 84.5 J
The volume (V) of a monatomic gas varies with its temperature (T), as shown in the graph. The ratio of work done by the gas to the heat absorbed by it when it undergoes a change from state A to state B will be:
1. | \(2 \over 5\) | 2. | \(2 \over 3\) |
3. | \(1 \over 3\) | 4. | \(2 \over 7\) |
The efficiency of an ideal heat engine working between the freezing point and boiling point of water is:
1. 26.8%
2. 20%
3. 6.25%
4. 12.5%
Thermodynamic processes are indicated in the following diagram.
Match the following:
Column I | Column II | ||
P. | Process-I | a. | Adiabatic |
Q. | Process-II | b. | Isobaric |
R. | Process-III | c. | Isochoric |
S. | Process-IV | d. | Isothermal |
1. | \(P \rightarrow \mathrm{a}, Q \rightarrow \mathrm{c}, R \rightarrow \mathrm{d}, S \rightarrow \mathrm{b}\) |
2. | \(P \rightarrow \mathrm{c}, Q \rightarrow \mathrm{a}, R \rightarrow \mathrm{d}, S \rightarrow b\) |
3. | \(P \rightarrow \mathrm{c}, Q \rightarrow \mathrm{d}, R \rightarrow \mathrm{b}, S \rightarrow a\) |
4. | \(P \rightarrow \mathrm{c}, Q \rightarrow \mathrm{d}, R \rightarrow \mathrm{b}, S \rightarrow a\) |
Thermodynamic processes are indicated in the following diagram:
Match the following:
Column-I | Column-II |
P. Process I | a. Adiabatic |
Q. Process II | b. Isobaric |
R. Process III | c. Isochoric |
S. Process IV | d. Isothermal |
P | Q | R | S | |
1. | c | a | d | b |
2. | c | d | b | a |
3. | d | b | a | c |
4. | a | c | d | b |
A gas is compressed isothermally to half its initial volume. The same gas is compressed separately through an adiabatic process until its volume is again reduced to half. Then:
1. | compressing the gas through an adiabatic process will require more work to be done. |
2. | compressing the gas isothermally or adiabatically will require the same amount of work to be done. |
3. | which of the case (whether compression through isothermal or through the adiabatic process) requires more work to be done will depend upon the atomicity of the gas. |
4. | compressing the gas isothermally will require more work to be done. |
One mole of an ideal monatomic gas undergoes a process described by the equation \(PV^3=\mathrm{constant}.\) The heat capacity of the gas during this process is:
1. \(\frac{3}{2}R\)
2. \(\frac{5}{2}R\)
3. \(2R\)
4. \(R\)
A gas is compressed isothermally to half its initial volume. The same gas is compressed separately through an adiabatic process until its volume is again reduced to half. Then,
1. | compressing the gas through an adiabatic process will require more work to be done. |
2. | compressing the gas isothermally or adiabatically will require the same amount of work. |
3. | which of the case (whether compression through isothermal or through the adiabatic process) requires more work will depend upon the atomicity of the gas. |
4. | compressing the gas isothermally will require more work to be done. |