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PHXI13:KINETIC THEORY

360213 Which of the following is a property of ideal gas

1 Forces exist between gas particles

2 Particles have small voulme

3 Collisions among particles are inelastic

4 Particles have no volume

PHXI13:KINETIC THEORY

360214 One kg of a diatomic gas is at a pressure of $8 \times 10^{4} N / m^{2}$ . The density of the gas is $4 k g / m^{3}$ . What is the energy of the gas due to its thermal motion

1

3 \times 10^{4} J

2

5 \times 10^{4} J

3

6 \times 10^{4} J

4

7 \times 10^{4} J

Explanation:

$K \cdot E = \frac{5}{2} n R T = \frac{5}{2} P V$
$K . E = \frac{5}{2} P (\frac{m}{ρ}) = \frac{5}{2} \times 8 \times 10^{4} \times \frac{1}{4} = 5 \times 10^{4} J$

PHXI13:KINETIC THEORY

360215 A gas in a vessel is at the pressure $P_{0}$ . If the masses of all the molecules be made half and their speed be made double, then the resultant pressure will be

1

2 P_{0}

2

4 P_{0}

3

P_{0} / 2

4

P_{0}

Explanation:

Let $P_{0} = \frac{1}{3} \frac{m n}{V} c^{2}$
$P^{'} = \frac{1}{3} \frac{(\frac{m}{2}) n}{V} (2 c)^{2} = 2 P_{0}$

PHXI13:KINETIC THEORY

360216 A spherical balloon of volume $V$ contains helium at pressure P. How many moles of helium are in the balloon if the average kinetic energy of the helium atoms is $\bar{K}$ ?

1

\frac{3 P V}{\bar{K} N_{A}}

2

\frac{2 P V}{\bar{K} N_{A}}

3

\frac{3 P V}{2 \bar{K} N_{A}}

4

\frac{5 P V}{3 \bar{K} N_{A}}

Explanation:

We know that
$P V = \frac{1}{3} m N v^{2} = \frac{2}{3} N (\frac{1}{2} m v^{2})$
$P V = \frac{2}{3} N \bar{K}$
$N = \frac{3}{2} \frac{P V}{\bar{K}}$
$n = \frac{N}{N_{A}} = \frac{3}{2} \frac{P V}{\bar{K} N_{A}}$

PHXI13:KINETIC THEORY

360213 Which of the following is a property of ideal gas

1 Forces exist between gas particles

2 Particles have small voulme

3 Collisions among particles are inelastic

4 Particles have no volume

PHXI13:KINETIC THEORY

360214 One kg of a diatomic gas is at a pressure of $8 \times 10^{4} N / m^{2}$ . The density of the gas is $4 k g / m^{3}$ . What is the energy of the gas due to its thermal motion

1

3 \times 10^{4} J

2

5 \times 10^{4} J

3

6 \times 10^{4} J

4

7 \times 10^{4} J

Explanation:

$K \cdot E = \frac{5}{2} n R T = \frac{5}{2} P V$
$K . E = \frac{5}{2} P (\frac{m}{ρ}) = \frac{5}{2} \times 8 \times 10^{4} \times \frac{1}{4} = 5 \times 10^{4} J$

PHXI13:KINETIC THEORY

360215 A gas in a vessel is at the pressure $P_{0}$ . If the masses of all the molecules be made half and their speed be made double, then the resultant pressure will be

1

2 P_{0}

2

4 P_{0}

3

P_{0} / 2

4

P_{0}

Explanation:

Let $P_{0} = \frac{1}{3} \frac{m n}{V} c^{2}$
$P^{'} = \frac{1}{3} \frac{(\frac{m}{2}) n}{V} (2 c)^{2} = 2 P_{0}$

PHXI13:KINETIC THEORY

360216 A spherical balloon of volume $V$ contains helium at pressure P. How many moles of helium are in the balloon if the average kinetic energy of the helium atoms is $\bar{K}$ ?

1

\frac{3 P V}{\bar{K} N_{A}}

2

\frac{2 P V}{\bar{K} N_{A}}

3

\frac{3 P V}{2 \bar{K} N_{A}}

4

\frac{5 P V}{3 \bar{K} N_{A}}

Explanation:

We know that
$P V = \frac{1}{3} m N v^{2} = \frac{2}{3} N (\frac{1}{2} m v^{2})$
$P V = \frac{2}{3} N \bar{K}$
$N = \frac{3}{2} \frac{P V}{\bar{K}}$
$n = \frac{N}{N_{A}} = \frac{3}{2} \frac{P V}{\bar{K} N_{A}}$

PHXI13:KINETIC THEORY

360213 Which of the following is a property of ideal gas

1 Forces exist between gas particles

2 Particles have small voulme

3 Collisions among particles are inelastic

4 Particles have no volume

PHXI13:KINETIC THEORY

360214 One kg of a diatomic gas is at a pressure of $8 \times 10^{4} N / m^{2}$ . The density of the gas is $4 k g / m^{3}$ . What is the energy of the gas due to its thermal motion

1

3 \times 10^{4} J

2

5 \times 10^{4} J

3

6 \times 10^{4} J

4

7 \times 10^{4} J

Explanation:

$K \cdot E = \frac{5}{2} n R T = \frac{5}{2} P V$
$K . E = \frac{5}{2} P (\frac{m}{ρ}) = \frac{5}{2} \times 8 \times 10^{4} \times \frac{1}{4} = 5 \times 10^{4} J$

PHXI13:KINETIC THEORY

360215 A gas in a vessel is at the pressure $P_{0}$ . If the masses of all the molecules be made half and their speed be made double, then the resultant pressure will be

1

2 P_{0}

2

4 P_{0}

3

P_{0} / 2

4

P_{0}

Explanation:

Let $P_{0} = \frac{1}{3} \frac{m n}{V} c^{2}$
$P^{'} = \frac{1}{3} \frac{(\frac{m}{2}) n}{V} (2 c)^{2} = 2 P_{0}$

PHXI13:KINETIC THEORY

360216 A spherical balloon of volume $V$ contains helium at pressure P. How many moles of helium are in the balloon if the average kinetic energy of the helium atoms is $\bar{K}$ ?

1

\frac{3 P V}{\bar{K} N_{A}}

2

\frac{2 P V}{\bar{K} N_{A}}

3

\frac{3 P V}{2 \bar{K} N_{A}}

4

\frac{5 P V}{3 \bar{K} N_{A}}

Explanation:

We know that
$P V = \frac{1}{3} m N v^{2} = \frac{2}{3} N (\frac{1}{2} m v^{2})$
$P V = \frac{2}{3} N \bar{K}$
$N = \frac{3}{2} \frac{P V}{\bar{K}}$
$n = \frac{N}{N_{A}} = \frac{3}{2} \frac{P V}{\bar{K} N_{A}}$

PHXI13:KINETIC THEORY

360213 Which of the following is a property of ideal gas

1 Forces exist between gas particles

2 Particles have small voulme

3 Collisions among particles are inelastic

4 Particles have no volume

PHXI13:KINETIC THEORY

360214 One kg of a diatomic gas is at a pressure of $8 \times 10^{4} N / m^{2}$ . The density of the gas is $4 k g / m^{3}$ . What is the energy of the gas due to its thermal motion

1

3 \times 10^{4} J

2

5 \times 10^{4} J

3

6 \times 10^{4} J

4

7 \times 10^{4} J

Explanation:

$K \cdot E = \frac{5}{2} n R T = \frac{5}{2} P V$
$K . E = \frac{5}{2} P (\frac{m}{ρ}) = \frac{5}{2} \times 8 \times 10^{4} \times \frac{1}{4} = 5 \times 10^{4} J$

PHXI13:KINETIC THEORY

360215 A gas in a vessel is at the pressure $P_{0}$ . If the masses of all the molecules be made half and their speed be made double, then the resultant pressure will be

1

2 P_{0}

2

4 P_{0}

3

P_{0} / 2

4

P_{0}

Explanation:

Let $P_{0} = \frac{1}{3} \frac{m n}{V} c^{2}$
$P^{'} = \frac{1}{3} \frac{(\frac{m}{2}) n}{V} (2 c)^{2} = 2 P_{0}$

PHXI13:KINETIC THEORY

360216 A spherical balloon of volume $V$ contains helium at pressure P. How many moles of helium are in the balloon if the average kinetic energy of the helium atoms is $\bar{K}$ ?

1

\frac{3 P V}{\bar{K} N_{A}}

2

\frac{2 P V}{\bar{K} N_{A}}

3

\frac{3 P V}{2 \bar{K} N_{A}}

4

\frac{5 P V}{3 \bar{K} N_{A}}

Explanation:

We know that
$P V = \frac{1}{3} m N v^{2} = \frac{2}{3} N (\frac{1}{2} m v^{2})$
$P V = \frac{2}{3} N \bar{K}$
$N = \frac{3}{2} \frac{P V}{\bar{K}}$
$n = \frac{N}{N_{A}} = \frac{3}{2} \frac{P V}{\bar{K} N_{A}}$