Molecular Physics | Thermodynamics Answers

For a thermodynamic system, isobaric coefficient of volume expansion (alpa) and isothermal compressibility (bita) are defined as

ailpa=1/V(dV/dT)_p

bita=-1/V(dV/dT)_T

Show that for an isochoric change, dp = dT.

Explain the five types of boundaries with one example each (other than the ones discussed in the study material) encountered in the thermodynamic systems.

What is Brownian motion? State four significant characteristics of Brownian

motion.

The expression for the number of molecules in a Maxwellian gas having speeds in

the range v to v + dv is

dN_V=4(3.14)N((M/(2(3.14)k_BT))^3/2 V² exp[-(mv²/2k_BT)]dV)

Using this relation, obtain an expression for average speed. Also, plot Maxwellian

distribution function versus speed at three different temperatures.

Write van der Waals’ equation of state for one mole of a gas. What do the

symbols a and b signify? Under what conditions does this equation reduce to

ideal gas equation?

The mean speed of the molecules of an ideal gas is 2.0 *10³ ms^-1 .The radius

of a gas molecule is 1.5 *10¹⁰ m.Calculate the (i) collision frequency, and

(ii) mean free path. It is given that n = 4 *10²⁴m^-3.

the specific weight of an object in 3.5 kn /m^3. determine the (a) mass density (b) mass if the dimention of the object are 6 cm by 15 cm by 8 cm (c) specific volume, and (d) specific gravity. solution

the weight of the object measured in the mars in 10 n where the observed gravitational acceleration is 3.40 m/ s^2 . determine the weight of the object in earth where the gravitational acceleration is 9. 81 m/s^2? solution

the weight of the object measured in the mars in 10 n where the observed gravitational acceleration is 3.40 m/ s^2 . determine the weight of the object in earth where the gravitational acceleration is 9. 81 m/s^2? solution

The observation that planets move faster at the perigee than at the apogee is a consequence of: