An ideal gas is maintained at constant pressure. If the temperature of an ideal gas increases from 100K to 1000K then the rms speed of the gas molecules

(a)

increases by 5 times

(b)

increases by 10 times

(c)

remains same

(d)

increases by 7 times

The average translational kinetic energy of gas molecules depends on

(a)

number of moles and T

(b)

only on T

(c)

P and T

(d)

P only

The ratio \(\gamma =\frac { { C }_{ p } }{ { C }_{ V } } \) for a gas mixture consisting of 8 g of helium and 16 g of oxygen is

(a)

23/15

(b)

15/23

(c)

27/11

(d)

17/27

If the temperature and pressure of a gas is doubled the mean free path of the gas molecules

(a)

remains same

(b)

doubled

(c)

tripled

(d)

quadrapoled

A sample of gas consists of \(\mu\)₁ moles of monoatomic molecules, \(\mu\)₂ moles of diatomic molecules and \(\mu\)₃ moles of linear triatomic molecules. The gas is kept at high temperature. What is the total number of degrees of freedom?

(a)

[3\(\mu\)₁ + 7( \(\mu\)₂ + \(\mu\)₃)] N_A

(b)

[3\(\mu\)₁ + 7\(\mu\)₂ + 6\(\mu\)₃] N_A

(c)

[7\(\mu\)₁ + 3( \(\mu\)₂ + \(\mu\)₃)] N_A

(d)

[3\(\mu\)₁ + 6( \(\mu\)₂ + \(\mu\)₃)] N_A

Which of the following gases will have least rms speed at a given temperature?

(a)

Hydrogen

(b)

Nitrogen

(c)

Oxygen

(d)

Carbon dioxide

The perfect gas equation can be written as _________________.

(a)

PV = \(\mu\)RT

(b)

PV = \(\mu\)R

(c)

PV = RT

(d)

P = \(\mu\)RTV

If there are n no. of molecules per unit volume and m is the mass of each, Vx is the x - component of velocity pressure can be written as _______________.

(a)

P= nm\({ V }_{ x }^{ 2 }\)

(b)

P= 2nm\({ V }_{ x }^{ 2 }\)

(c)

P= m\({ V }_{ x }^{ 2 }\)

(d)

P= n\({ V }_{ x }^{ 2 }\)

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature the ratio \(\frac { { C }_{ p } }{ { C }_{ v } } \)for the gas is _____________.

(a)

\(\frac{4}{3}\)

(b)

2

(c)

\(\frac{5}{3}\)

(d)

\(\frac{3}{2}\)

The ratio of the vapour densities of two gases at a gn is 9 : 8. The ratio of the r_ms velocity of their molecules is ________________.

(a)

3: 2\(\sqrt{2}\)

(b)

2\(\sqrt{2}\):3

(c)

9:8

(d)

8:9

The temperature is changed from 27°C to 327°C. Find ratio of K.E of molecules at two temperature ________________.

(a)

3:2

(b)

2:3

(c)

1:2

(d)

2:1

Oxygen and hydrogen gases are at the same temperature the ratio of the average K.E of an oxygen molecule and that of a hydrogen molecule is _____________.

(a)

16

(b)

4

(c)

1

(d)

\(\frac{1}{4}\)

Pressure exerted by a perfect gas is equal to _____________.

(a)

mean K.E. per unit volume

(b)

half of mean K.E. per unit volume

(c)

one-third of mean K.E. per unit volume

(d)

two-third of mean K.E. per unit volume.

Two gases are enclosed in a container at constant temperature. One of the gases, which is diatomic, has relative molecular mass eight times the other, which is monoatomic. The ratio of the rms speed of the molecules of the monoatomic gas to that of the molecules of the diatomic gas is ________

(a)

8

(b)

4

(c)

2\(\sqrt2\)

(d)

2

At a given temperature which of the following gases possesses maximum rms velocity of molecules?

(a)

H₂

(b)

O₂

(c)

N₂

(d)

CO₂

A gas is enclosed in a container which is then placed on a fast moving train. The temperature of the gas  ________.

(a)

rises

(b)

remains unchanged

(c)

falls

(d)

becomes unsteady

A jar has mixture of hydrogen and Oxygen gases in the ratio 1: 5. The ratio of mean kinetic energies of hydrogen and Oxygen molecules is ________.

(a)

1: 5

(b)

5: 1

(c)

1: 1

(d)

1: 25

Pressure exerted by a gas is _______.

(a)

independent of the density of the gas

(b)

inversely proportional to the density of the gas

(c)

directly proportional to the density of the gas

(d)

directly proportional to the square of the density of the gas

A real gas behaves as an ideal gas at _________.

(a)

low pressure and high temperature

(b)

high pressure and low temperature

(c)

low pressure and low temperature

(d)

high pressure and high temperature.

Two different ideal gases are enclosed in two different vessels at the same pressure. If \(\rho\)₁ and \(\rho\)₂ are their densities and v₁ and v₂ their rms speeds, respectively then - is equal to ________.

(a)

\(\frac { { \rho }_{ 1 }^{ 2 } }{ { \rho }_{ 2 }^{ 2 } } \\ \)

(b)

\(\frac { { \rho }_{ 2 }^{ 2 } }{ { \rho }_{ 1}^{ 2 } } \\ \)

(c)

\(\sqrt { \frac { { \rho }_{ 1 }^{ } }{ { \rho }_{ 2 }^{ } } }\)

(d)

\(\sqrt { \frac { { \rho }_{ 2 }^{ } }{ { \rho }_{ 1 }^{ } } }\)