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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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:

(a)2/3

(b)3/4

(c)2

(d)1/2

Subtopic:  Ideal Gas Equation |
 86%
From NCERT
NEET - 2015
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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 mean free path of molecules of a gas, (radius r) is inversely proportional to :
(1) r3

(2) r2

(3) r

(4) √r

Subtopic:  Mean Free Path |
 81%
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 10°C the value of the density of a fixed mass of an ideal gas divided by its pressure is x. At 110°C this ratio is 

1. x

2. 383283x

3. 10110x

4. 283383x

Subtopic:  Ideal Gas Equation |
 63%
NEET - 2008
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The ratio of two specific heats of gas Cp/Cv for argon is 1.6 and for hydrogen is 1.4. Adiabatic elasticity of argon at pressure P is E. Adiabatic elasticity of hydrogen will also be equal to E at the pressure :

1. P                                       

2. 87P

3. 78P                                   

4. 1.4P

Subtopic:  Specific Heat |
 59%
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One mole of a perfect gas in a cylinder fitted with a piston has a pressure P, volume V and temperature 273 K. If the temperature is increased by 1 K keeping pressure constant, the increase in volume is

(1) 2V273

(2) V91

(3) V273

(4) V

Subtopic:  Ideal Gas Equation |
 75%
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