# The root-mean-square speed of hydrogen molecules at 300 K is 1930 m/s. Then the root mean square speed of oxygen molecules at 900 K will be: [MH CET 2002; Odisha JEE 2010] 1. 1930$\sqrt{3}$ m/s                      2. 836 m/s 3. 643 m/s                                4. $\frac{1930}{\sqrt{3}}$ m/s

Subtopic:  Types of Velocities |
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What is the mass of 2 liters of nitrogen at 22.4 atmospheric pressure and 273 K?

1. 28 g

2. 14$×22.4$ g

3. 56 g

4. None of these

Subtopic:  Ideal Gas Equation |
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Mean kinetic energy per degree of freedom of gas molecules is:

1. $\frac{3}{2}kT$

2. kT

3. $\frac{1}{2}kT$

4. $\frac{3}{2}RT$

Subtopic:  Law of Equipartition of Energy |
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PV versus T graphs of equal masses of $$H_2$$$$He$$ and $$O_2$$${}_{}$ are shown in the figure. Choose the correct alternative:

 1 A corresponds to $$H_2$$, B to $$He$$ and C to $$O_2$$ 2 A corresponds to $$He$$, B to $$H_2$$, and C to $$O_2$$ 3 A corresponds to $$He$$, B to $$O_2$$, and C to $$H_2$$ 4 A corresponds to $$O_2$$, B to $$He$$  and C to $$H_2$$
Subtopic:  Ideal Gas Equation |
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According to the kinetic theory of gases, at absolute zero temperature: [AIIM 1998; UPSEAT 2000]

1. Water freezes

2. Liquid helium freezes

3. Molecular motion stops

4. Liquid hydrogen freezes

Subtopic:  Types of Velocities |
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Molecular weight of two gases are $$M_1$$ and $$M_2.$$ At any temperature, the ratio of root mean square velocities $$v_1$$ and $$v_2$$ will be:
1. $$\sqrt{\frac{M_1}{M_2}}$$
2. $$\sqrt{\frac{M_2}{M_1}}$$
3. $$\sqrt{\frac{M_1+M_2}{M_1-M_2}}$$
4. $$\sqrt{\frac{M_1-M_2}{M_1+M_2}}$$

Subtopic:  Types of Velocities |
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An ideal gas is filled in a vessel, then

1. If it is placed inside a moving train, its temperature increases

2. Its centre of mass moves randomly

3. Its temperature remains constant in a moving car

4. None of these

Subtopic:  Kinetic Energy of an Ideal Gas |
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The temperature of an ideal gas is increased from $27°$ to $927°C$. The r.m.s. speed of its molecules becomes-

1. twice

2. half

3. four times

4. one fourth

Subtopic:  Types of Velocities |
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The equation $\left(p+\frac{a}{{v}^{2}}\right)\left(v-b\right)=RT$ is known as:

1. Perfect gas equation

2. Joule Thomson's equation

3. Vander Waal's equation

4. Maxwell's equation

Subtopic:  Ideal Gas Equation |
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The equation of state for 5 g of oxygen at a pressure P and temperature T, when occupying a volume V, will be: (where R is the constant)

1. PV = 5RT

2. PV = $\left(\frac{5}{2}\right)RT$

3. PV = $\left(\frac{5}{16}\right)RT$

4. PV = $\left(\frac{5}{32}\right)RT$

Subtopic:  Ideal Gas Equation |
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