HARD
JEE Advanced
IMPORTANT
Earn 100

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? 

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

EASY
JEE Advanced
IMPORTANT
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
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
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

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?

Question Image

EASY
JEE Advanced
IMPORTANT
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
EASY
JEE Advanced
IMPORTANT
Air fills a room in winter at 7°C and in summer at 37°C. If the pressure is the same in winter and summer, the ratio of the weight of the air filled in winter and that in summer is
EASY
JEE Advanced
IMPORTANT
Three closed vessels A, B and C are at the same temperature T and contain gases which obey Maxwell distribution law of velocities. Vessel A contains O2, B only N2 and C a mixture of equal quantities of O2 and N2. If the average speed of the O2 molecules in the vessel A is v1 that of N2 molecules in vessel B is v2, then the average speed of the O2 molecules in vessel C is
EASY
JEE Advanced
IMPORTANT
In a very good vacuum system in the laboratory, the vacuum attained was 10-13 atm. If the temperature of the system was 300 K, the number of molecules present in a volume of 1 cm3 is