MEDIUM
JEE Advanced
IMPORTANT
Earn 100

(a) What is the average translational kinetic energy of a molecule of an ideal gas at a temperature of 27°C?
(b) What is the total random translational kinetic energy of the molecules in one mole of this gas?
(c) What is the RMS speed of oxygen molecules at this temperature?

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

EASY
JEE Advanced
IMPORTANT
Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 4 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>Exercises>Q 43
At 0°C and 1.0atm=1.01×105 N m-2 pressure, the densities of air, oxygen and nitrogen are 1.284 kg m-3,1.429 kg m-3, and 1.251 kg m-3, respectively. Calculate the percentage of nitrogen in the air from these data, assuming only these two gases to be present.
EASY
JEE Advanced
IMPORTANT
Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 4 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>Exercises>Q 44
An air bubble of 20 cm3 volume, is at the bottom of a lake 40 m deep where the temperature is 4°C. The bubble rises to the surface which is at a temperature of 20°C. Take the temperature to be the same as that of the surrounding water and find its volume just before it reaches the surface.
HARD
JEE Advanced
IMPORTANT
Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 4 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>Exercises>Q 45
For a certain gas, the heat capacity at constant pressure is greater than that at constant volume by 29.1 J K-1.
(a) How many moles of the gas are there?
(b) If the gas is monatomic, what are heat capacities at constant volume and pressure?
(c) If the gas molecules are diatomic which rotate but do not vibrate, what are heat capacities at constant volume and at constant pressure? 
EASY
JEE Advanced
IMPORTANT
Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 4 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>Exercises>Q 46
The heat capacity at constant volume of a sample of a monatomic gas is 35 J K-1. Find
(a) the number of moles
(b) the internal energy at 0°C
(c) the molar heat capacity at constant pressure.
EASY
JEE Advanced
IMPORTANT
Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 4 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>Exercises>Q 47
Two thermally insulated vessels 1 and 2 are filled with air at temperatures T1, T2, volumes V1, V2 and pressures P1, P2, respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be (P=common pressure)
EASY
JEE Advanced
IMPORTANT
Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 4 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>Exercises>Q 48
Two marks on a glass rod 10 cm apart are found to increase their distance by 0.08 mm when the rod is heated from 0°C to 100°C. A flask made of the same glass as that of rod, measures a volume of 100 cc at 0°C. The volume it measures at 100°C in cc is
EASY
JEE Advanced
IMPORTANT
Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 4 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>Exercises>Q 1

The given curve represents the variation of temperature as a function of volume for one mole of an ideal gas. Which of the following curves best represents the variation of pressure as a function of volume?

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EASY
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 gas is found to be obeyed the law p2V= constant. The initial temperature and volume are T0 and V0. If the gas expands to a volume 3V0, then the final temperature becomes