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Kinetic therory of Gases

Total questions: 20

Worksheet time: 29mins

Name
Class
Date
1.

The pressure of an ideal gas in a vessel is p. The gas is heated at constant volume until the r.m.s. speed of the gas molecules is doubled. what is the new pressure of the gas?

a)

√2p

b)

2p

c)

3p

d)

4p

2.

Which of the following is not an assumption of the kinetic theory of gases?

a)

Gas molecules move with the same speed, known as the r.m.s. speed

b)

Gas molecules are in constant free random motion

c)

Collisions between gas molecules are perfectly elastic

d)

The size of a gas molecule is negligible compared to the distance between gas molecules

3.

Which of the following statements DOES NOT represent the ideal gas law ?

a)

Pressure is directly proportional to the absolute temperature.

b)

Pressure is inversely proportional to volume

c)

Volume is directly proportional to the absolute temperature.

d)

Volume is directly proportional to pressure.

4.

The following statements are assumptions of the kinetic theory of gases EXCEPT

a)

All gases are made up of identical atoms or molecules.

b)

The intermolecular forces are negligible except during collisions.

c)

The molecules undergoes inelastic collisions with one another.

d)

The volume of the atoms or molecules is negligible when compared to the volume occupied by the gas.

5.

Root mean squared (r.m.s) speed of a gas molecules is directly proportional to _____________ and inversely proportional to ______________.

a)

molar mass ; temperature

b)

temperature ; molar mass

c)

temperature ; pressure

d)

pressure ; temperature

6.

One mole of any gas at Standard Temperature and Pressure (STP) occupies volume of

a)

22.4km322.4km^3

b)

22.4cm322.4cm^3

c)

22.4mm322.4mm^3

d)

22.4dm322.4dm^3

7.

The internal energy of an ideal gas depends on

a)

absolute temperature

b)

pressure

c)

volume

d)

degree of freedom

8.

The degree of freedom for a diatomic molecule is

a)

2

b)

3

c)

5

d)

6

9.
What is 50 C in Kelvin?
a)
223
b)
323
c)
100
d)
50
10.
The kinetic theory of matter states that all of the particles that make up matter are constantly
a)
growing
b)
shrinking
c)

at rest

d)
moving
11.

What is the average velocity of gas molecules of an ideal gas?

a)

0

b)

c)

8KTmπ\sqrt{\frac{8KT}{m\pi}}

d)

Can't say anything

12.

Pressure exerted by a gas depends on:

a)

Volume of gas chamber

b)

Density of gas

c)

Density of glass of chamber

d)

speed of gas molecules

13.

According to Law of Equipartition of Energy

a)

Energy of the system of particles is equally distributed amongst various degrees of freedom

b)

energy possessed by each particle in each degree of freedom is KT/2

c)

All the above

14.

Unit of Specific heat in SI unit is:

a)

J/kg/K

b)

erg/gm/K

c)

erg/Kg/K

d)

All the Above

15.

According to Distribution Law, r.m.s speed is

a)

3kTm\sqrt{\frac{3kT}{m}}

b)

3kTmπ\sqrt{\frac{3kT}{m\pi}}

c)

8KTmπ\sqrt{\frac{8KT}{m\pi}}

d)

2kTm\sqrt{\frac{2kT}{m}}

16.
Absolute zero is the temperature (in Kelvin), at which, only in theory...
a)
all particles stop moving
b)
time stands still
c)
space and time merge
d)
energy goes to infinity
17.

A gas is at temperature 80°C and pressure 5 × 10-10N m-2. What is the number of molecules per m3 if Boltzmann’s constant is 1.38 × 10-23 J /K

a)

1.8X1011

b)

1.02X1011

c)

6.02x1023

d)

3.2x1023

18.

During an adiabatic process, the pressure of a mixture of monatomic and diatomic gases is found to be proportional to the cube of the temperature. Find the value of γ = (Cp/CV)

a)

1.3

b)

1.5

c)

1.4

d)

1

19.

An oxygen molecule is travelling in air at 300 K and 1 atm, and the diameter of oxygen molecule is 1.2 × 10−10m. Calculate the mean free path of oxygen molecule.

a)

0.63x10-6 m

b)

2.6x10-6 m

c)

10.61x10-6 m

d)

6.6x10-6 m

20.

A football at 27°C has 0.5 mole of air molecules. Calculate the internal energy of air in the ball.

a)

2069.75J

b)

1688.75J

c)

1869.75J

d)

1695.5J