# The molecules of a given mass of gas have rms velocity of $$200~\mathrm{ms^{-1}}$$ at $$27^\circ \text{C}$$ and $$1.0\times 10^{5}~\mathrm{Nm^{-2}}$$ pressure. When the temperature and the pressure of the gas are respectively, $$127^\circ \text{C}$$ and $$0.05\times10^{5}~\mathrm{Nm^{-2}}$$, the RMS velocity of its molecules in $$\mathrm{ms^{-1}}$$ is: 1. $$\frac{400}{\sqrt{3}}$$ 2. $$\frac{100\sqrt{2}}{3}$$ 3. $$\frac{100}{3}$$ 4. $$100\sqrt{2}$$

Subtopic:  Types of Velocities |
82%
From NCERT
NEET - 2016
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At what temperature will the $$\text{rms}$$ speed of oxygen molecules become just sufficient for escaping from the earth's atmosphere?
(Given: Mass of oxygen molecule $$(m)= 2.76\times 10^{-26}~\text{kg}$$, Boltzmann's constant $$k_B= 1.38\times10^{-23}~\text{J K}^{-1}$$)
1. $$2.508\times 10^{4}~\text{K}$$
2. $$8.360\times 10^{4}~\text{K}$$
3. $$5.016\times 10^{4}~\text{K}$$
4. $$1.254\times 10^{4}~\text{K}$$

Subtopic:  Types of Velocities |
64%
From NCERT
NEET - 2018
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A gas mixture consists of $$2$$ moles of $$O_2$$ and $$4$$ moles of $$Ar$$ at temperature $$T.$$ Neglecting all the vibrational modes, the total internal energy of the system is:

 1 $$15RT$$ 2 $$9RT$$ 3 $$11RT$$ 4 $$4RT$$
Subtopic:  Law of Equipartition of Energy |
77%
From NCERT
NEET - 2017
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A given sample of an ideal gas occupies a volume $$V$$ at a pressure $$P$$ and absolute temperature $$T$$. The mass of each molecule of the gas is $$m$$. Which of the following gives the density of the gas?
1. $$\frac{P}{kT}$$
2. $$\frac{Pm}{kT}$$
3. $$\frac{P}{kTV}$$
4. $$mkT$$

Subtopic:  Ideal Gas Equation |
85%
From NCERT
NEET - 2016
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The molecules of a given mass of gas have rms velocity of 200 ms-1 at $$27^{\circ}\mathrm{C}$$ and 1.0 x 105 Nm-2 pressure. When the temperature and pressure of the gas are increased to, respectively, $$127^{\circ}\mathrm{C}$$ and 0.05 X 10Nm-2, rms velocity of its molecules in ms-1 will become:
1. 400/√3
2. 100√2/3
3. 100/3
4.100√2

Subtopic:  Types of Velocities |
79%
From NCERT
NEET - 2016
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One mole of an ideal monatomic gas undergoes a process described by the equation $P{V}^{3}=$ constant. The heat capacity of the gas during this process is:

(1) $\frac{3}{2}R$

(2) $\frac{5}{2}R$

(3) $2R$

(4) $R$

Subtopic:  Specific Heat |
NEET - 2016
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A gas mixture consist of 2 moles of ${O}_{2}$ and 4 moles of Ar at temperature T. Neglecting all vibrational modes, the total internal energy of the system is:

(1)4RT

(2) 15RT

(3)9RT

(4)11RT

Subtopic:  Kinetic Energy of an Ideal Gas | Law of Equipartition of Energy |
93%
From NCERT
NEET - 2017
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