Molecular Physics | Thermodynamics Answers

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:

The rate mass of a fluid is 12 grams/s, is flowing in a tube at 0.9 m/s and it has a density of 1.7 grams/m3. What is the diameter of the tube?

Air is contained in a rigid container has a pressure of 0.5

bar vacuum. If the atmospheric pressure is 740 mm Hg, and

the density of mercury is 13.59 g/cm3. Determine the absolute pressure of the container in bar.

Steam at 100 bar, 3200 C expands isothermally in a cylinder behind a piston to a pressure of 10 bar. Solve for the work done per kilogram of steam.