Kinetic Theory Test

Result

Kinetic Theory Test - 71

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Weekly Quiz Competition

Question 1
1 / -0

If Cv = 4.96 cal / mole K, then increase in internal energy when temperature of 2 moles of this gas is increased from 340 K to 342 K

A
$$27.80$$ cal

B
$$19.84$$ cal

C
$$13.90$$ cal

D
$$9.92$$ cal

Solution

Change in internal energy is always equal to the heat supplied at constant volume. $$ \Delta U = \left ( \Delta Q \right )_{v}= \mu C_{v}\Delta T.$$
So, $$\Delta U=2\times 4.96\times (342-340)=19.84 cal$$
Question 2
1 / -0

The degrees of freedom of a triatomic gas is

A
$$2$$

B
$$4$$

C
$$6$$

D
$$8$$

Solution

The general expression for degree of freedom is $$DOF=3N−n$$
here, DOF means degree of freedom, N is number of particle, and n is the number of holonomic constraints.
for a triatomic molecule, the number of particle is 3 and since the separation between three atoms are fixed so, the number of constraints is 3.
hence, $$DOF=(3\times 3)−3$$
$$DOF=9−3$$
$$DOF=6$$
Question 3
1 / -0

A monoatomic gas molecules has

A
Three degrees of freedom

B
Four degrees of freedom

C
Five degrees of freedom

D
Six degrees of freedom

Solution
Question 4
1 / -0

At a given volume and temperature , the pressure of a gas

A
Varies inversely as its mass

B
Varies inversely as the square of its mass

C
Varies linearly as its mass

D
Is independent of its mass

Solution
Question 5
1 / -0

A diatomic molecules has how many degrees of freedom

A
$$3$$

B
$$4$$

C
$$5$$

D
$$6$$

Solution
Question 6
1 / -0

In an ideal gas, the molecules possess

A
only kinetic energy

B
both kinetic energy and potential energy

C
only potential energy

D
neither kinetic energy nor potential energy

Solution

In an ideal gas, the molecules only have $$\textbf{ kinetic energy}$$
Question 7
1 / -0

The degrees of freedom of a stationary rigid body about its axis will be

A
One

B
Two

C
Three

D
Four

Solution
Question 8
1 / -0

The pressure exerted by the gas on the walls of the container because

A
It loses kinetic energy

B
It sticks with the walls

C
On collision with the walls there is a change in momentum

D
It is increased towards the walls

Solution
Question 9
1 / -0

The mean kinetic energy of a gas at $$300\,K $$ is $$100J$$. The mean energy of the gas at $$450\,K $$ is equal to

A
$$100\,J$$

B
$$3000\,J $$

C
$$450\,J $$

D
$$150\,J $$

Solution
Question 10
1 / -0

Mean kinetic energy per degree of freedom of gas molecules is

A
$$ \dfrac{3}{2} kT $$

B
$$kT$$

C
$$ \dfrac{1}{2}kT$$

D
$$ \dfrac{3}{2} RT $$

Solution