Kinetic Theory Of Gases Test

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Kinetic Theory Of Gases Test - 6

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Weekly Quiz Competition

Question 1
1 / -0

How many degrees of freedom do non linear triatomic gas molecules has?

A
two

B
six

C
three

D
five

Solution

A triatomic nonlinear gaseous atom has 6 degrees of freedom, that are 3 in all transrational directions and three rotational barriers in all the three axises.
Question 2
1 / -0

If a gas has n degree of freedom, ratio of principal specific heats of the gas is

A
1+ 2/n

B
2n

C
1 - 2/n

D
-2n

Solution

Let us consider 1 mole of an ideal gas at kelvin temperature T. It has N molecules (Avogadro's number). The internal energy of an ideal gas is entirely kinetic. The average KE per molecule of a ideal gas is ½ nkT (k is boltzman constant), where n is degree of freedom. Therefore, the internal energy of one mole of a gas would be

E=N(1/2nKT)=1/2nRT (∵k=R/N)

Now, C_v=dE/dT=n/2 R

and Cp=n/2 R+R=(n/2+1)R

C_p/ C_v =(n/2+1)R/n/2=(1+2/n)
Question 3
1 / -0

O₂is a __________ molecule , and has __________ translational degrees of freedom

A
Monatomic , three

B
Diatomic , three

C
Monatomic , one

D
Diatomic , one

Solution

Oxygen molecule is a diatomic molecule and has 3 translational and 2 rotational degrees of freedom,
Question 4
1 / -0

What is law of equipartition of energy?

A
The total energy is unequally distributed in all possible energy modes, with each mode having an average energy equal to 2kBT. This is known as the law of equipartition of energy.

B
The total energy is unequally distributed in all possible energy modes, with each mode having an average energy equal to Â½ kBT. This is known as the law of equipartition of energy.

C
The total energy is equally distributed in all possible energy modes, with each mode having an average energy equal to Â½ kBT. This is known as the law of equipartition of energy.

D
The total energy is equally distributed in all possible energy modes, with each mode having an average energy equal to kBT. This is known as the law of equipartition of energy

Solution

The total energy is equally distributed in all possible energy modes, with each mode having an average energy equal to ½ k_BT. This is known as the law of equipartition of energy.
Question 5
1 / -0

The degree of freedom for diatomic gas is:

A
4

B
6

C
5

D
3

Solution

For monoatomic gas degrees of freedom are 3, while for diatomic gas is it 5, and for triatomic gas it is 7.
Question 6
1 / -0

1calorie = ?

A
4148 Joules

B
414.8 Joules

C
4.8 Joules

D
4.148 Joules

Solution

1 calorie = 4.184 joules. That is the conversion rate, no explanation.
Question 7
1 / -0

The degree of freedom for tri atomic gas is:

A
6

B
4

C
5

D
3

Solution

Degrees of freedom are the ways in which a molecule of the gas can execute motion.
So in case of triatomic gas molecule:
1. It can translate (move) in all 3 dimensions, which accounts for 3 degrees of freedom (since there are 3 dimensions in which it could translate (move)).
2. This molecule can also revolve with Moment of Inertia ≠ 0 around all three axes, x, y, and z, which accounts for another 3 degrees of freedom (since there are 3 axes of rotation).
Question 8
1 / -0

On which of the following factors, does the average kinetic energy of gas molecules depend?

A
Pressure

B
Velocity of gas molecules

C
Absolute temperature

D
Volume of the gas

Solution

The average K.E. of gas molecules depends only on the absolute temperature of the gas and is directly proportional to it.
Question 9
1 / -0

The mean free path is the ____________

A
average distance covered by a molecule between two successive collisions

B
length of the container that contains the gas

C
mean of the square of the average distance between two successive collisions

D
square of the average distance between two successive collisions
Question 10
1 / -0

The average distance a molecule can travel without colliding is called

A
Average distance

B
Mean free path

C
Mean drift

D
Mean distance

Solution

The mean free path is the average distance travelled by a molecule between two successive collisions.

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Kinetic Theory Of Gases Test - 6

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Kinetic Theory Of Gases Test - 6

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Question 1

two

six

three

five

Solution

Question 2

1+ 2/n

2n

1 - 2/n

-2n

Solution

Question 3

Monatomic , three

Diatomic , three

Monatomic , one

Diatomic , one

Solution

Question 4

The total energy is unequally distributed in all possible energy modes, with each mode having an average energy equal to 2kBT. This is known as the law of equipartition of energy.

The total energy is unequally distributed in all possible energy modes, with each mode having an average energy equal to Â½ kBT. This is known as the law of equipartition of energy.

The total energy is equally distributed in all possible energy modes, with each mode having an average energy equal to Â½ kBT. This is known as the law of equipartition of energy.

The total energy is equally distributed in all possible energy modes, with each mode having an average energy equal to kBT. This is known as the law of equipartition of energy

Solution

Question 5

4

6

5

3

Solution

Question 6

4148 Joules

414.8 Joules

4.8 Joules

4.148 Joules

Solution

Question 7

6

4

5

3

Solution

Question 8

Pressure

Velocity of gas molecules

Absolute temperature

Volume of the gas

Solution

Question 9

average distance covered by a molecule between two successive collisions

length of the container that contains the gas

mean of the square of the average distance between two successive collisions

square of the average distance between two successive collisions

Question 10

Average distance

Mean free path

Mean drift

Mean distance

Solution

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