Kinetic Theory Test

Result

Kinetic Theory Test - 85

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Weekly Quiz Competition

Question 1
1 / -0

One gram sample of $$NH_{4}NO_{3}$$ is decomposed in a bomb calorimeter. The temperature of the calorimeter increases by 6.12 K. The heat capacity of the system is 1.23 KJ/g/deg. What is the molar heat of decomposition for $$NH_{4}NO_{3}$$?

A
-7.53 KJ/mol

B
-398 KJ/mol

C
-16.1 KJ/mol

D
-602 KJ/mol
Question 2
1 / -0

An ideal monoatomic gas is initially in state $$1$$ with pressure $$P_{1}=20\ atm$$ and volume $$V_{1}=1500\ cm^{3}$$. It is then taken to state $$2$$ with pressure $$P_{2}=1.5\ P_{1}$$ and volume $$V_{2}=2V_{1}$$. The change in internal energy from state $$1$$ to state $$2$$ is equal to

A
$$2000\ J$$

B
$$3000\ J$$

C
$$6000\ J$$

D
$$9000\ J$$

Solution
Question 3
1 / -0

When heat energy of 1500 Joules is supplied to a gasconstant pressure $$2.1 \times 10 ^ { 5 } \mathrm { N } / \mathrm { m } ^ { 2 }$$ , there was an increse in its volume equal to $$2.5 \times 10 ^ { - 3 } \mathrm { m } ^ { 3 }$$ . The increase in intermelenergy of the gas in Joules is -

A
450

B
525

C
975

D
2025

Solution
Question 4
1 / -0

One mole of an ideal gas with $$= 1.4 ,$$ is adiabatically compressed so that its temperature rises from $$27 ^ { \circ } \mathrm { cto } 35 ^ { \circ } \mathrm { C }$$ . The change in the internal energy of the gas is $$( R = 8.33 \%$$ mol. $$N$$

A
$$- 166 J$$

B
$$ 166 J$$

C
$$- 168J$$

D
$$ 168 J$$

Solution
Question 5
1 / -0

For a certain process, pressure of diatomic gas varies according to the relation $$P = a V ^ { 2 }$$, where $$a$$ is constant. The specific heat of the gas for this process will be

A
$$\frac { 16 R } { 7 }$$

B
$$\frac { 17 R } { 6 }$$

C
$$\frac { 6 R } { 17 }$$

D
$$\frac { 13 R } { 6 }$$

Solution
Question 6
1 / -0

The relation between the gas pressure P and average kinetic energy per unit volume E is

A
$$P = \frac { 1 } { 2 } E$$

B
P = E

C
$$P = \frac { 3 } { 2 } E$$

D
$$P = \frac { 2 } { 3 } E$$

Solution
Question 7
1 / -0

2 moles of a monoatomic gas are expanded to double its initial volume, through a process P/V = constant. If its initial temperature is 300 K, then which of the following is not true.

A
$$\Delta T = 900 K$$

B
$$\Delta Q = 3200 R$$

C
$$\Delta Q = 3600 R$$

D
W = 900 R

Solution
Question 8
1 / -0

The potential energy of the molecules on the free surface of a liquid is

A
Minimum

B
Maximum

C
Zero

D
Infinity

Solution
Question 9
1 / -0

An ideal gas with pressure $$P$$, volume $$V$$ and temperature $$T$$ is expanded isothermally to a volume $$2V$$ and a final pressure $${P}_{I}$$. The same gas is expanded adiabatically to a volume $$2V$$, the final pressure is $${P}_{A}$$. In terms of the ratio of the two specific heats for the gas $$\gamma$$, the ratio $${P}_{I}/{P}_{A}$$ is:

A
$${2}^{\gamma-1}$$

B
$${2}^{1-\gamma}$$

C
$${2}^{\gamma}$$

D
$$2\gamma$$

Solution
Question 10
1 / -0

The kinetic energy associated with per degree of freedom of a molecule is

A
$$\dfrac { 1 }{ 2 } M^{ 2 }_{ rms }$$

B
$$kT$$

C
$$kT/2$$

D
$$3 kT/2$$

Solution