Kinetic Theory Test

Result

Kinetic Theory Test - 57

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Weekly Quiz Competition

Question 1
1 / -0

Hydrogen is a diatomic gas. Its molar specific heat at constant volume is very nearly

A
$$\frac { 3 R } { 2 }$$

B
$$\frac { 5 R } { 2 }$$

C
$$\frac { 7 R } { 2 }$$

D
(b) or (c) depending on the temperature.

Solution
Question 2
1 / -0

Molar heat capacity of water in equilibrium with ice at constant pressure is

A
Zero

B
$$\infty $$

C
40.45 kJ $$K^{-1}mol^{-1}$$

D
75.48 $$JK^{-1}mol^{-1}$$
Question 3
1 / -0

let A and B the two gases and given :
$$\frac{{T}_{A}}{{M}_{A}}$$ = 4. $$\frac{{T}_{B}}{{M}_{B}}$$ Where T is the temperature and M is molecular mass. If $${C}_{A}$$ and $${C}_{B}$$ are the r.m.s. speed, then the ratio $$\frac{{C}_{A}}{{C}_{B}}$$ will be equal to:

A
2

B
4

C
1

D
0.5

Solution
Question 4
1 / -0

The temperature of a diatomic gas is T. The total kinetic energy of the gas is given as $$E = { K }_{ 1 }$$ where $${ K }_{ 1 }$$ is constant. Find out the total number of molecules of the gas in the sample. (K = Boltzaman's constant)

A
$$3K_{ 1 }K$$

B
$$5K_{ 1 }/2K$$

C
$$2K_{ 1 }/5K$$

D
None of these

Solution
Question 5
1 / -0

If hydrogen gas is heated to a very high temperature, then the fraction of energy possessed by gas molecules correspond to rotational motion:-

A
$$\dfrac{3}{5}$$

B
$$\dfrac{2}{7}$$

C
$$\dfrac{3}{7}$$

D
$$\dfrac{2}{5}$$

Solution
Question 6
1 / -0

A gas is filled in a cylinder. Its temperature is increased by $$20\%$$ and volume decreases by $$20\%$$. If pressure remains constant, what percentage of mass of the gas leaks out?

A
$$33.33\%$$

B
$$66.67\%$$

C
$$20\%$$

D
$$40\%$$

Solution
Question 7
1 / -0

An ant is moving on a plane horizontal surface. The number of degrees of freedom of the ant will be

A
1

B
2

C
3

D
6

Solution

$$\textbf{Explanation:}$$ A plane contains three axis i.e x, y and z axis.
The number of degrees of freedom of dynamical system is depends on the total numbers of coordinates or independent variables required to describe the position of the system.
When an ant moves on surface, it covers two axes, either xy, yz or zx.
So the degree of freedom of ant will be 2.
$$\textbf{Option B is correct.}$$
Question 8
1 / -0

When $$2 gm$$ of gas is introduced into an evacuated flask kept at $$25^oC$$ the pressure is found to be one atmosphere. If $$3 gm$$ of another gas added to the same flask the pressure becomes $$1.5$$ atmospheres. The ratio of the molecular weights of there gases will be

A
$$1:3$$

B
$$3:1$$

C
$$1:2$$

D
$$3:2$$

Solution
Question 9
1 / -0

If $$\gamma $$ be the ration of specific heats of a perfect gas, the number of degree of freedom of a molecule of the gas is:

A
$$\dfrac{{25}}{2}\left( {\gamma - 1} \right)$$

B
$$\dfrac{{3\gamma - 1}}{{2\gamma - 1}}$$

C
$$\dfrac{2}{{\gamma - 1}}$$

D
$$\dfrac{9}{2}(\gamma - 1)$$

Solution
Question 10
1 / -0

The degree of freedom of a diatomic gas at normal temperature is.

A
$$7$$

B
$$6$$

C
$$5$$

D
$$4$$

Solution