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A gas is enclosed in two different vessels at same pressure. If the densities of gases are $ρ_{1}$ and $ρ_{2},$ the corresponding root mean square velocities are $C_{1}$ and $C_{2} \cdot \frac{C_{1}}{C_{2}}$ is ${(\frac{ρ_{2}}{ρ_{1}})}^{n} .$ Value of $n,$ is ________

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Important Questions on Kinetic Theory of Gases

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JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 12 - Kinetic Theory of Gases>Assignment>Q 61

The average degree of freedom per molecule for a gas is

6 .

The gas performs

25 J

of work when it expands at constant pressure. The heat absorbed by the gas is

5 n J .

Value of

n,

is ________

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IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 12 - Kinetic Theory of Gases>Assignment>Q 62

One mole of an ideal gas undergoes a process

P = \frac{P_{0}}{1 + {(\frac{V}{V_{0}})}^{2}},

where

P_{0}

and

V_{0}

are constants. The temperature of the gas when

V = V_{0}

\frac{P_{0} V_{0}}{n R} .

Value of

n,

is _______

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Gamma Question Bank for Engineering Physics>Chapter 12 - Kinetic Theory of Gases>Assignment>Q 63

A column of mercury of length

h_{0} = 10 cm

is contained in the middle of a narrow horizontal tube soldered at both ends. The air in both halves of the tube is under a pressure of

P_{0} = 76 cmHg .

The length of the tube is

1 m

. If the tube is placed vertically, then find the distance (in

cm)

by which the mercury column will move.

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Gamma Question Bank for Engineering Physics>Chapter 12 - Kinetic Theory of Gases>Assignment>Q 64

Two moles of ideal gas (monatomic) undergo the process

P = \frac{2 V^{2}}{1 + V^{2}},

then change in temperature of gas when volume changes from

V = 1 m^{3}

2 m^{3}

\frac{11}{n R} .

Value of

n,

is _______

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IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 12 - Kinetic Theory of Gases>Assignment>Q 65

A mixture of

n_{1}

moles of monoatomic gas and

n_{2}

moles of diatomic gas has

\frac{C_{p}}{C_{v}} = γ = 1.5 .

Value of

\frac{n_{1}}{n_{2}},

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Gamma Question Bank for Engineering Physics>Chapter 12 - Kinetic Theory of Gases>Assignment>Q 66

Volume of an ideal gas in a balloon varies as

V \propto T^{3},

Its pressure will vary with volume as

P \propto V^{n} .

Value of

n,

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IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 12 - Kinetic Theory of Gases>Assignment>Q 67

Two containers of equal volumes contain the same gas at same pressure and at temperature

T

and

2 T .

On joining the vessels, the common temperature is

n T .

Value of

n,

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IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 12 - Kinetic Theory of Gases>Assignment>Q 68

During an experiment an ideal gas obeys a law

V P^{3} =

Constant. The gas is initially at temperature

T_{0}

and volume

V_{0} .

When gas expands to a volume

8 V_{0},

its temperature will be

n T_{0} .

Value of

n,

A gas is enclosed in two different vessels at same pressure. If the densities of gases are ρ1 and ρ2, the corresponding root mean square velocities are C1 and C2·C1C2 is ρ2ρ1n. Value of n, is ________

Important Questions on Kinetic Theory of Gases

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A gas is enclosed in two different vessels at same pressure. If the densities of gases are $ρ_{1}$ and $ρ_{2},$ the corresponding root mean square velocities are $C_{1}$ and $C_{2} \cdot \frac{C_{1}}{C_{2}}$ is ${(\frac{ρ_{2}}{ρ_{1}})}^{n} .$ Value of $n,$ is ________