A gas mixture consist of 2 moles of O2 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 |
 74%
From NCERT
NEET - 2017
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One mole of an ideal monatomic gas undergoes a process described by the equation PV3= constant. The heat capacity of the gas during this process is:

1. 32R           

2. 52R

3. 2R             

4. R

Subtopic:  Specific Heat |
NEET - 2016
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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. p/(kT)        
2. pm / (kT)
3. p/ (kTV)     
4. mkT

Subtopic:  Kinetic Energy of an Ideal Gas |
 87%
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 |
 80%
From NCERT
NEET - 2016
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A monoatomic gas at a pressure p, having a volume V expands isothermally to a volume 2 V and then adiabatically to a volume 16 V. The final pressure of the gas is: (take  γ=5/3)

(1) 64ρ

(2) 32ρ

(3) ρ/64

(4) 16ρ 

Subtopic:  Specific Heat |
 70%
From NCERT
NEET - 2014
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The molar specific heats of an ideal gas at constant pressure and volume are denoted by CP and CV respectively. If γ=CP/CV and R is the universal gas constant, then CV is equal to

(1) 1+γ/1-γ
 

(2)R/(γ-1)
 

(3)(γ-1)/R
 

(4)γR

Subtopic:  Specific Heat |
 87%
From NCERT
NEET - 2013
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If Cp and Cv denote the specific heats (per unit mass) of an ideal gas of molecular weight M

1. Cp-Cv=RM2                             

2. Cp-Cv=R

3. Cp-Cv=RM                               

4. Cp-Cv=MR

Subtopic:  Specific Heat |
 59%
From NCERT
NEET - 2010
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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 |
 65%
From NCERT
NEET - 2018
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The molecules of a given mass of gas have RMS velocity of \(200~\text{ms}^{-1}\) at \(27^\circ \text{C}\) and \(1.0\times 10^{5}~\text{Nm}^{-2}\) pressure. When the temperature and the pressure of the gas are respectively, \(127^\circ \text{C}\) and \(0.05\times10^{5}~\text{Nm}^{-2},\) the RMS velocity of its molecules in \((\text{ms}^{-1})\) is:
1. \(\frac{400}{\sqrt{3}}\)
2. \(\frac{100\sqrt{2}}{3}\)
3. \(\frac{100}{3}\)
4. \(100\sqrt{2}\)
Subtopic:  Types of Velocities |
 83%
From NCERT
NEET - 2016
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Two vessels separately contain two ideal gases \(A\) and \(B\) at the same temperature, the pressure of \(A\) being twice that of \(B.\) Under such conditions, the density of \(A\) is found to be \(1.5\) times the density of \(B.\) The ratio of molecular weight of \(A\) and \(B\) is:

1. \(\dfrac{2}{3}\) 2. \(\dfrac{3}{4}\)
3. \(2\) 4. \(\dfrac{1}{2}\)
Subtopic:  Ideal Gas Equation |
 87%
From NCERT
NEET - 2015
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