# During an experiment, an ideal gas is found to obey an additional law VP2 = constant. The gas is initially at temperature T and volume V. What will be the temperature of the gas when it expands to a volume 2V? 1. $\mathrm{T}\text{'}=\sqrt{4}\mathrm{T}$ 2. $\mathrm{T}\text{'}=\sqrt{2}\mathrm{T}$ 3. $\mathrm{T}\text{'}=\sqrt{5}\mathrm{T}$ 4. $\mathrm{T}\text{'}=\sqrt{6}\mathrm{T}$

Subtopic:  Ideal Gas Equation |
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We have two vessels of equal volume, one filled with hydrogen and the other with equal mass of helium. The common temperature is $$27^{\circ}\mathrm{C}$$ . What is the relative number of molecules in the two vessels?
1. $$\frac{n_H}{n_{He}} = \frac{1}{1}$$
2. $$\frac{n_H}{n_{He}} = \frac{5}{1}$$
3. $$\frac{n_H}{n_{He}} = \frac{2}{1}$$
4. $$\frac{n_H}{n_{He}} = \frac{3}{1}$$

Subtopic:  Ideal Gas Equation |
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The volume $$V$$ versus temperature $$T$$ graph for a certain amount of a perfect gas at two pressures $$\mathrm{P}_1$$ and 
$$\mathrm{P}_2$$ are shown in the figure. Here:

 1 $$\mathrm{P}_1<\mathrm{P}_2$$ 2 $$\mathrm{P}_1>\mathrm{P}_2$$ 3 $$\mathrm{P}_1=\mathrm{P}_2$$ 4 Pressures can’t be related
Subtopic:  Ideal Gas Equation |
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At a pressure of 24 × 105 dyne/cm2, the volume of O2 is 10 litre and mass is 20g. The rms velocity will be:

 1 800 m/s 2 400 m/s 3 600 m/s 4 Data is incomplete
Subtopic:  Types of Velocities |
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The ratio of ${\mathrm{v}}_{\mathrm{rms}}:{\mathrm{v}}_{\mathrm{mp}}:{\mathrm{v}}_{\mathrm{avg}}$ is: (symbols have their usual meaning)

Subtopic:  Types of Velocities |
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The value of ${C}_{P}-{C}_{v}=1.00$ $R$ for a gas in state A and ${C}_{P}-{C}_{v}=1.06$ $R$ in another state B. If ${P}_{A}$ $and$ ${P}_{B}$ denote the pressure and  ${T}_{B}$ denote the temperatures in the two states, then:

 1 $$P_A=P_B ; T_A>T_B$$ 2 $$P_A>P_B ; T_A=T_B$$ 3 $$P_AT_B$$ 4 $$P_A=P_B ; T_A Subtopic: Specific Heat | 50% 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 volume and temperature graph is given in the figure below. If pressures for the two processes are different, then which one, of the following, is true?  1 \(P_1=P_2$$ and $$P_3=P_4$$ and $$P_3>P_2$$ 2 $$P_1=P_2$$ and $$P_3=P_4$$ and $$P_3P_2$$ $$>$$ $$P_3>P_4$$

Subtopic:  Ideal Gas Equation |
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At $$10^{\circ}\mathrm{C}$$ the value of the density of a fixed mass of an ideal gas divided by its pressure is $$x$$. At $$110^{\circ}\mathrm{C}$$ this ratio is:
1. $$x$$
2. $$\frac{383}{283}x$$
3. $$\frac{10}{110}x$$
4. $$\frac{283}{383}x$$

Subtopic:  Ideal Gas Equation |
69%
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AIPMT - 2008
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The amount of heat energy required to raise the temperature of $$1$$ g of Helium at NTP, from $${T_1}$$ K to $${T_2}$$ K is:
1. $$\frac{3}{2}N_ak_B(T_2-T_1)$$
2. $$\frac{3}{4}N_ak_B(T_2-T_1)$$
3. $$\frac{3}{4}N_ak_B\frac{T_2}{T_1}$$
4. $$\frac{3}{8}N_ak_B(T_2-T_1)$$

Subtopic:  Specific Heat |
51%
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AIPMT - 2013
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One mole of an ideal diatomic gas undergoes a transition from $$A$$ to $$B$$ along a path $$AB$$ as shown in the figure.

The change in internal energy of the gas during the transition is:

 1 $$20$$ kJ 2 $$-20$$ kJ 3 $$20$$ J 4 $$-12$$ kJ

Subtopic:  Law of Equipartition of Energy |
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NEET - 2015
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