Kinetic Theory Test

Result

Kinetic Theory Test - 80

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Weekly Quiz Competition

Question 1
1 / -0

70 calorie of heat required to rise the temperature of 2 mole of an ideal gas at constant pressure from $${30^o}$$C to $${35^o}$$C. The degrees of freedom of the gas molecule are,,

A
3

B
5

C
6

D
7

Solution
Question 2
1 / -0

If the total energy of a $$H_2$$ gas molecule is x, the linear energy of the gas molecule is

A
X

B
$$\dfrac{3x}{2}$$

C
$$\dfrac{3x}{5}$$

D
$$\dfrac{5x}{3}$$
Question 3
1 / -0

Three perfect gases at absolute temperatures $$T_1, T_2$$ and $$T_3$$ are mixed. The masses of their molecules are $$m_1, m_2$$ and $$m_3$$ and the number of molecules are $$n_1, n_2$$ and $$n_3$$ respectively. Assuming no loss of energy, the final tempreture of the mixture is

A
$$\dfrac{T_1 + T_2 + T_3}{3}$$

B
$$\dfrac{n_1T_1 + n_2T_2 + T_3 T_3}{n_1 + n_2 + n_3}$$

C
$$\dfrac{n_1T_1^2 + n_2T_2^2 + n_3 T_3^2}{n_1 T_1 + n_2 T_2 + n_3 T_3}$$

D
$$\dfrac{n_1^2T_1^2 + n_2^2T_2^2 + n_3^2 T_3^2}{n_1 T_1 + n_2 T_2 + n_3 T_3}$$

Solution
Question 4
1 / -0

A mass of liquid with volume V, completely turns into a gas of volume $$V_2$$ at a constant external pressure P and temperature T. The latent heat of vapourisation is L for the given mass. Then change in the internal energy of the system is

A
$$PV_2-PV_1$$

B
$$L-PV_2+PV_1$$

C
Zero

D
$$L+PV_2-PV_1$$

Solution
Question 5
1 / -0

A jar contains a mixture of oxygen and helium gases in the ratio 64 : 1. Ratio of their mean translational energies at same temperature is

A
1 : 1

B
1 : $$\sqrt 2$$

C
2 : 1

D
1 : 2

Solution
Question 6
1 / -0

Correct statement

A
At constant temperature the $$KE$$ of all the gas molecules is the same

B
At constant temperature, averge $$KE$$ of gas molecules remain constant but $$KE$$ of individual molecule may differ

C
At constant temperature the $$KE$$ is less for heavier gas molecules

D
At constant temperature the $$KE$$ is less for lighter gas molecules
Question 7
1 / -0

A vessel contains a non-linear triatomic gas. If $$50$$% of gas dissociate into individual atom, then find new value of degree of freedom by ignoring the vibrational mode and any further dissociation.

A
2.15

B
3.75

C
5.25

D
6.35

Solution
Question 8
1 / -0

one mole of mono atomic ideal gas follows a process AB, as shown. The specific heat of the process is $$\dfrac{13R}{6}$$. Find the value of X on P-axis.

A
$$4P_0$$

B
$$5P_0$$

C
$$6P_0$$

D
$$8P_0$$

Solution
Question 9
1 / -0

A particle located at $$x=0$$ at time $$t=0$$, starts moving along the positive x-direction with a velocity $$v$$ tha varies as $$v=\alpha \sqrt{x}$$, the displacement of the particle varies with time as

A
$${t}^{2}$$

B
$$t$$

C
$${t}^{1/2}$$

D
$${t}^{3}$$

Solution
Question 10
1 / -0

An electric bulb of volume $$250\ cm^{3}$$ has been sealed at a pressure of $$10^{-3} mm$$ of mercury and temperature $$27^{\circ}C$$. Find the number of air molecules in the bulb. What is the average distance between the molecules?

A
$$9.02\times 10^{15}, 3.15\times 10^{-5} m$$.

B
$$8.02\times 10^{10}, 3.15\times 10^{-6} m$$.

C
$$4.02\times 10^{15}, 2.15\times 10^{-7} m$$.

D
$$8.02\times 10^{15}, 3.15\times 10^{-7} m$$.

Solution