Kinetic Theory Test

Result

Kinetic Theory Test - 67

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Weekly Quiz Competition

Question 1
1 / -0

Four cylinders contain an equal number of moles of argon, hydrogen, nitrogen, and carbon dioxide at the same temperature. The energy is minimum in?

A
argon

B
hydrogen

C
nitrogen

D
both nitrogen and hydrogen

Solution

Using the formula
$$U=mC_vp$$
We know that with increase in atomicity,$$C_v$$ also increases.
The Energy will be minimum for a monoatomic gas i.e. argon.
Option A is corect.
Question 2
1 / -0

The degree of freedom per molecule of a gas is $$3$$. The heat absorbed by the gas at constant pressure is $$150\,J$$. Then increase in internal energy is

A
$$90\,J$$

B
$$50\,J$$

C
$$120\,J$$

D
$$30\,J$$

Solution
Question 3
1 / -0

At ordinary pressure and temperature, the ratio of interatomic distance of a gas and a liquid is of the order of

A
$$1000$$

B
$$10000$$

C
$$10$$

D
$$100$$
Question 4
1 / -0

One mole of distance ideal gas $$ ( \gamma = 1.4 ) $$ is taken through a cyclic process staring from point A. The process $$ A \rightarrow B $$ is an adiabatic compression, $$ B \rightarrow C $$ is isobaric expansion $$ C \rightarrow D $$ an adiabatic expansion and $$ D \rightarrow A $$ is isochoric. The volume ratios are $$ V_A / V_B = 16 $$ and $$ V_C / V_B = 2 $$ and the temperature at A is $$ T_A = 300 K $$ Calculate the temperature of the temperature of the gas at the points B and D and final the efficiency of the cycle.

A
75 %

B
61.4 %

C
52.5%

D
80.6 %
Question 5
1 / -0

A vessel contains mixture of hydrogen and oxygen gases in teh ratio of their masses equal to 1:5. The ratio of mean kinetic energy of the two gases is

A
5:16

B
16:5

C
1:1

D
6:1

Solution
Question 6
1 / -0

The mean kinetic enrgy of one gm-mole of a perfect gas at absoulte temperature T is

A
$$\frac{1}{2}T$$

B
$$\frac{1}{2}RT$$

C
$$\frac{2}{3}KT$$

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

Solution
Question 7
1 / -0

An ideal gas has volume $$V$$ and pressure $$P$$. The total translational kinetic energy of all the molecule of the gas is.

A
PV only if the gas is monoatomic

B
PV only if the gas is diatomic

C
greater than PV if the gas is diatomic

D
PV in all cases antainar is evacuated to leave just one

Solution
Question 8
1 / -0

When an ideal diatomic gas is heated at constant pressure. the fraction of the heat energy supplied which increases the internal energy of he gas is

A
$$\dfrac{2}{5}$$

B
$$\dfrac{3}{5}$$

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

D
$$\dfrac{5}{7}$$

Solution
Question 9
1 / -0

Calculate the total KE of the mixture of 4 gm $$H_{2}$$ and 4 gm He at 300 K-`

A
1800 R

B
1750 R

C
1950 R

D
None of these

Solution
Question 10
1 / -0

For silver , $$C_p(JK^{-1}mol^{-1})=23+0.01T$$. If the temperature (T) of 3 moles of silver is raised from $$300K$$ to $$1000K$$ at $$1\ atm$$ pressure, the value of $$\Delta H$$ will be close to:

A
$$21\ kJ$$

B
$$16\ kJ$$

C
$$13\ kJ$$

D
$$62\ kJ$$

Solution

Solution:- (D) $$62 \; kJ$$

$$\Delta H=n\displaystyle\int _{ T_{ 1 } }^{ T_{ 2 } }{ C } _{ p.m }dT=3\times \int _{ 300 }^{ 1000 }{ (23+0.01T)dT } $$

$$=3[23(1000-300)+\frac{0.01}{2}(1000^2-300^2)]$$

$$=61950J \approx 62kJ$$