4.0 g of a gas occupies 22.4 L at NTP. The specific heat capacity of the gas at constant volume is 5.0 J K-1mol-1. If the speed of sound in this gas at NTP is 952 ms-1, then the heat capacity at constant pressure is: (Take gas constant R=8.3 JK-1mol-1)

(a) 8.0 JK-1mol-1

(b) 7.5 JK-1mol-1

(c) 7.0 JK-1mol-1

(d) 8.5 JK-1mol-1

Concept Questions :-

Specific heat
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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

Concept Questions :-

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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)

(a) 64ρ

(b) 32ρ

(c) ρ/64

(d) 16ρ 

Concept Questions :-

Specific heat
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The mean free path of molecules of a gas, (radius r) is inversely proportional to :
(a) r3

(b) r2

(c) r

(d) √r

Concept Questions :-

Mean free path
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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

(a) 1+γ/1-γ

(b)R/(γ-1)

(c)(γ-1)/R

(d)γR

Concept Questions :-

Specific heat
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The amount of heat energy required to raise the temperature of 1g of helium from T1K to T2K is -       [Assume volume is constant]

1. 3/8 NBKB(T2-T1)

2. 3/2 NBKB(T2-T1)

3. 3/4 NBKB(T2-T1)

4. 3/4 NBKBT

Concept Questions :-

Law of equipartition of energy
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If Cp and Cv denote the specific heats (per unit mass) of an ideal gas of molecular weight M

(a) Cp-Cv=RM2                             (b) Cp-Cv=R

(c) Cp-Cv=RM                               (d) Cp-Cv=MR

Concept Questions :-

Specific heat
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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 :

(a) P                                        (b) 87P

(c) 78P                                    (d) 1.4P

Concept Questions :-

Specific heat
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The ratio of the specific heats CP/CV=γ in terms of degrees of freedom (n) is given by -

(a)(1+1/n)

(b)(1+n/3)

(c)(1+2/n)

(d)(1+n/2)

Concept Questions :-

Specific heat
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The molecules of a given mass of gas have r.m.s velocity of 200 ms-1 at 27°C and 1.0 x 105 Nm-2 pressure. When the temperature and pressure of the gas are respectively, 127°C and 0.05 X 10Nm-2 , the RMS velocity of its molecules in ms-1 is:

(a)400/√3         (b)100√2/3

(c)100/3            (d)100√2

Concept Questions :-

Specific heat
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