Molecular Physics | Thermodynamics Answers

If I fill 3 molecules of air which are very hot in a container and if I fill 10 molecules of air which have room temp in the another container which is exactly identical to first one that is has same volume so which container is gonna experience more pressure on its walls
The one which has high temp 3 molecules
Or the other having room temp 10 molecules
Actually 3 molecules have been heated while those 10 have not been

one gram of ice at 0°C is mixed with one gram of water at 100°C the resulting temperature will be
1)5°C
2)0°C
3)10°C
4)100°C

Write Planck's formula for energy density of a
black body radiation. Show that Rayleigh-Jeans
law, Wien's law and Stefan's law are contained
in it

What is transport phenomena ? Obtain the
expression for viscosity of gas by assuming that the number of particles crossing the plane from either side per unit area per second is 1/4 nv. Discuss its temperature and pressure dependence.

What is Brownian motion ? Give two examples of Brownian motion. Discuss Perrin's experiment to determine Avogadro's number.

Draw a labelled diagram for the
experimental arrangement used in adiabatic
demagnetization of a paramagnetic
substance. State the lowest temperature
attainable with this method.

One mole of an ideal gas is expanded
isothermally to four times its initial volume.
Calculate the entropy change in terms of R,
the gas constant.

Derive an expression for adiabatic lapse rate.

Establish Boltzmann's entropy relation.

Calculate van der Waals' constants for
helium using the data Tc = 5.3 K,
pc = 2.25 atm and R = 8.31 J morl K-1.