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

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

In the P - V diagram shown in the figure, choose the correct options for the process a→b. 

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

Along the line-1, mass of gas is m1 and pressure is p1. Along the line-2 mass of the same gas is m2 and pressure is p2. Choose the correct options

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JEE Advanced
IMPORTANT
Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 4 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>Exercises>Q 5
Choose the correct options.
HARD
JEE Advanced
IMPORTANT
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 1T.
HARD
JEE Advanced
IMPORTANT
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=75 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?
HARD
JEE Advanced
IMPORTANT
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 m3 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, Δp=0.24 atm. (Density of the gas at STP is ρ=1.2 kg m-3 ). Find the mass of the gas which escapes from the vessel.
HARD
JEE Advanced
IMPORTANT
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 Δh. Find the initial pressure, p1 of the gas in the cylinder if the atmospheric pressure is, p0 and the temperature remains constant.