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Important Questions on Thermometry, Thermal Expansion and Kinetic Theory of Gases

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Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 4 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>Exercises>Q 4

Along the line- $1$ , mass of gas is $m_{1}$ and pressure is $p_{1}$ . Along the line- $2$ mass of the same gas is $m_{2}$ and pressure is $p_{2}$ . Choose the correct options

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Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 4 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>Exercises>Q 5

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JEE Advanced

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Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 4 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>Exercises>Q 4

Show that the volume thermal expansion coefficient for an ideal gas at constant pressure is

\frac{1}{T}

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Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 4 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>Exercises>Q 5

The volume of a diatomic gas

(γ = \frac{7}{5})

is increased two times in a polytropic process with molar heat capacity,

C = R

. How many times will the rate of collision of molecules against the wall of the vessel be reduced as a result of this process?

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Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 4 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>Exercises>Q 1

A perfectly conducting vessel of volume,

V = 0.4 m^{3}

contains an ideal gas at constant temperature,

T = 273 K

. A portion of the gas is let out and the pressure of the gas falls by,

Δ p = 0.24 atm

. (Density of the gas at

STP

ρ = 1.2 kg m^{- 3}

). Find the mass of the gas which escapes from the vessel.

HARD

JEE Advanced

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Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 4 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>Exercises>Q 2

A thin-walled cylinder of mass,

m,

height,

h

and cross-sectional area,

A

is filled with a gas and floats on the surface of water. As a result of leakage from the lower part of the cylinder, the depth of its submergence has increased by

Δ h

. Find the initial pressure,

p_{1}

of the gas in the cylinder if the atmospheric pressure is,

p_{0}

and the temperature remains constant.

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JEE Advanced

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Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 4 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>Exercises>Q 3

Find the minimum attainable pressure of an ideal gas in the process ,

T = T_{0} + α V^{2}

, where,

T_{0}

and

α

are positive constants and

V

is the volume of one mole of gas.

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Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 4 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>Exercises>Q 4

A solid body floats in a liquid at a temperature,

t = 50 ° C

being completely submerged in it. What percentage of the volume of the body is submerged in the liquid after it is cooled to

t_{0} = 0 ° C

, if the coefficient of cubic expansion for the solid is

γ_{s} = 0.3 \times 10^{- 5} ° C^{- 1}

and of the liquid

γ_{l} = 8 \times 10^{- 5} ° C^{- 1}

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Important Questions on Thermometry, Thermal Expansion and Kinetic Theory of Gases

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