HARD
JEE Main
IMPORTANT
Earn 100

Find the adiabatic exponent γ, for a mixture consisting of v1 moles of a monatomic gas and v2 moles of a gas of rigid diatomic molecules.

Important Questions on THERMODYNAMICS AND MOLECULAR PHYSICS

HARD
JEE Main
IMPORTANT

A thermally insulated vessel, with gaseous nitrogen, at a temperature T= 27 °C, moves with velocity v=100 m s-1. How much (in per cent) and in what way will the gas pressure change, on a sudden stoppage of the vessel?

HARD
JEE Main
IMPORTANT
Calculate, at the temperature, T=17 °C,
(a) the root mean square velocity and the mean kinetic energy of an oxygen molecule, in the process of translational motion,
(b) the root mean square velocity of a water droplet, of diameter d=0.10 μm, suspended in the air. 
HARD
JEE Main
IMPORTANT
A gas, consisting of rigid diatomic molecules, is expanded adiabatically. How many times has the gas to be expanded, to reduce the root mean square velocity of the molecules, η= 1.50 times?
HARD
JEE Main
IMPORTANT
The mass m=15 g, of nitrogen, is enclosed in a vessel, at a temperature T=300 K. What amount of heat has to be transferred to the gas, to increase the root mean square velocity of its molecules, η=2.0 times? 
HARD
JEE Main
IMPORTANT
The temperature of a gas, consisting of rigid diatomic molecules, is T=300 K. Calculate the angular root mean square velocity of a rotating molecule, if its moment of inertia is equal to I= 2.1×10-39 g cm2.
HARD
JEE Main
IMPORTANT
A gas consisting of rigid diatomic molecules, was initially under standard conditions. Then the gas was compressed adiabatically η=5.0 times. Find the mean kinetic energy of a rotating molecule in the final state.
HARD
JEE Main
IMPORTANT

An ideal gas goes through a cycle consisting of alternate isothermal and adiabatic curves. The isothermal processes proceed at temperatures T1, T2 and T3. Find the efficiency of such a cycle, if in each isothermal expansion, the gas volume increases in the same proportion.

Question Image

HARD
JEE Main
IMPORTANT
Find the efficiency of a cycle, consisting of two isochoric and two adiabatic lines, if the volume of the ideal gas changes, n=10 times, within the cycle. The working substance is nitrogen.