Two cylinders contain the same amount of an ideal monoatomic gas. The same amount of heat is given to two cylinders. If the temperature rise in cylinder A is T0, then the temperature rise in cylinder B will be:
1.
2.
3.
4.
The pressure and volume of a gas are changed as shown in the P-V diagram. The temperature of the gas will:
1. | increase as it goes from A to B. |
2. | increase as it goes from B to C. |
3. | remain constant during these changes. |
4. | decrease as it goes from D to A. |
When a bicycle tyre suddenly bursts, the air inside the tyre expands. This process is:
1. | isothermal | 2. | adiabatic |
3. | isobaric | 4. | isochoric |
Find out the total heat given to diatomic gas in the process \(A\rightarrow B \rightarrow C\): \(( B\rightarrow C\) is isothermal)
1. \(P_0V_0+ 2P_0V_0\ln 2\)
2. \(\frac{1}{2}P_0V_0+ 2P_0V_0\ln 2\)
3. \(\frac{5}{2}P_0V_0+ 2P_0V_0\ln 2\)
4. \(3P_0V_0+ 2P_0V_0\ln 2\)
The efficiency of a Carnot engine is 40% when it receives energy at 500 K. At what temperature it should receive energy to increase its efficiency by 25% ?
1. | 600 K | 2. | 700 K |
3. | 800 K | 4. | 900 K |
The figure shows the \((P\text-V)\) diagram of an ideal gas undergoing a change of state from \(A\) to \(B\). Four different paths \(\mathrm{I, II, III}\) and \(\mathrm{IV}\), as shown in the figure, may lead to the same change of state.
(a) | The change in internal energy is the same in cases \(\mathrm{IV}\) and \(\mathrm{III}\) but not in cases \(\mathrm{I}\) and \(\mathrm{II}\). |
(b) | The change in internal energy is the same in all four cases. |
(c) | Work done is maximum in case \(\mathrm{I}\). |
(d) | Work done is minimum in case \(\mathrm{II}\). |
Which of the following options contains only correct statements?
1. (b), (c), (d)
2. (a), (d)
3. (b), (c)
4. (a), (c), (d)
Consider a cycle followed by an engine (figure).
1 to 2 is isothermal,
2 to 3 is adiabatic,
3 to 1 is adiabatic.
Such a process does not exist, because:
(a) | heat is completely converted to mechanical energy in such a process, which is not possible. |
(b) | In this process, mechanical energy is completely converted to heat, which is not possible. |
(c) | curves representing two adiabatic processes don’t intersect. |
(d) | curves representing an adiabatic process and an isothermal process don't intersect. |
Choose the correct alternatives:
1. | (a), (b) | 2. | (a), (c) |
3. | (b), (c) | 4. | (c), (d) |
Which of the following is true for the molar heat capacity of an ideal gas?
1. | It cannot be negative. |
2. | It has only two values \(\left(C_P \text { and } C_V\right)\). |
3. | It can have any value. |
4. | It cannot be zero. |