An ideal gas goes from A to B via two processes, l and ll, as shown. If $∆{\mathrm{U}}_{1}$ and $∆{\mathrm{U}}_{2}$ are the changes in internal energies in processes I and II, respectively, then ($$P:$$ pressure, $$V:$$ volume)

 1 ∆U1 > ∆U2 2 ∆U1 < ∆U2 3 ∆U1 = ∆U2 4 ∆U1 ≤ ∆U2
Subtopic:  Molar Specific Heat |
87%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

The ratio of molar specific heat capacity at constant pressure ($$C_p$$) to that at constant volume ($$C_v$$) varies with temperature ($$T$$) as:
(Assume temperature to be low.)
1. $$T^0$$
2. $$T^{\frac{1}{2}}$$
3. $$T^1$$
4. $$T^{\frac{3}{2}}$$
Subtopic:  Molar Specific Heat |
84%
From NCERT
Hints

If a gas changes volume from 2 litres to 10 litres at a constant temperature of 300K, then the change in its internal energy will be:

 1 12 J 2 24 J 3 36 J 4 0 J
Subtopic:  Molar Specific Heat |
85%
From NCERT
AIPMT - 1998
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

The incorrect relation is:
(where symbols have their usual meanings)

1. ${\mathrm{C}}_{\mathrm{P}}=\frac{\mathrm{\gamma R}}{\mathrm{\gamma }-1}$

2. ${\mathrm{C}}_{\mathrm{P}}-{\mathrm{C}}_{\mathrm{V}}=\mathrm{R}$

3. $∆\mathrm{U}=\frac{{\mathrm{P}}_{\mathrm{f}}{\mathrm{V}}_{\mathrm{f}}-{\mathrm{P}}_{\mathrm{i}}{\mathrm{V}}_{\mathrm{i}}}{1-\mathrm{\gamma }}$

4. ${\mathrm{C}}_{\mathrm{V}}=\frac{\mathrm{R}}{\mathrm{\gamma }-1}$

Subtopic:  Molar Specific Heat |
81%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

If n moles of an ideal gas is heated at a constant pressure from 50°C to 100°C, the increase in the internal energy of the gas will be: $$\left(\frac{C_{p}}{C_{v}} = \gamma\ and\ R = gas\ constant\right)$$

 1 $$\frac{50 nR}{\gamma - 1}$$ 2 $$\frac{100 nR}{\gamma - 1}$$ 3 $$\frac{50 nγR}{\gamma - 1}$$ 4 $$\frac{25 nγR}{\gamma - 1}$$
Subtopic:  Molar Specific Heat |
81%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

In the P-V graph shown for an ideal diatomic gas, the change in the internal energy is:

 1 $$\frac{3}{2}P(V_2-V_1)$$ 2 $$\frac{5}{2}P(V_2-V_1)$$ 3 $$\frac{3}{2}P(V_1-V_2)$$ 4 $$\frac{7}{2}P(V_1-V_2)$$
Subtopic:  Molar Specific Heat |
80%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

If 3 moles of a monoatomic gas do 150 J of work when it expands isobarically, then a change in its internal energy will be:

 1 100 J 2 225 J 3 400 J 4 450 J
Subtopic:  Molar Specific Heat |
77%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

If the ratio of specific heat of a gas at constant pressure to that at constant volume is $\mathrm{\gamma }$, the change in internal energy of a mass of gas, when the volume changes from V to 2V at constant pressure, P is:

 1 $\mathrm{R}/\left(\mathrm{\gamma }-1\right)$ 2 PV 3 $\mathrm{PV}/\left(\mathrm{\gamma }-1\right)$ 4 $\mathrm{PV}\left(\mathrm{\gamma }-1\right)$
Subtopic:  Molar Specific Heat |
80%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Next Hint
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

When an ideal diatomic gas is heated at constant pressure, the fraction of the heat energy supplied which increases the internal energy of the gas is?

 1 $$2 \over 5$$ 2 $$3 \over 5$$ 3 $$3 \over 7$$ 4 $$5 \over 7$$
Subtopic:  Molar Specific Heat |
70%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

The pressure in a monoatomic gas increases linearly from 4 atm to 8 atm when its volume increases from 0.2 m${}^{3}$ to 0.5 m${}^{3}$. The increase in internal energy will be:

 1 480 kJ 2 550 kJ 3 200 kJ 4 100 kJ
Subtopic:  Molar Specific Heat |
66%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch