Molecular Physics | Thermodynamics Answers

A helium gas is at pressure of 1atm and temperature of 0°C. If its pressure is dropped to its initial pressure, when its volume is kept constant. (a) calculate the work done by the gas. (b) what is the final temperature of the gas. (b) what is the work done by the if its volume becomes twice as initial volume and it return to its initial temperature.

Determine the strain tensor of a long rod of length / hanging vertically from the celling in a gravitational field of strength g.

Determine the deformation of a spherical hollow sphere of inner and outer radius R₁ and R₂ respectively in its own gravitational field. The density of the material is p.

Find the strain tensor inside an infinite hollow cylinder of inner and outer radii R₁ and R₂ respectively and deformed by uniform pressure p1 inside and p2 outside.

Consider a cylindrical rod of length I placed vertically on table. A uniform force per unit area p is applied on the upper surface of the rod. Find the strain tensor inside the rod. Consider gravity is uniform through out the rod and the gravitational acceleration is g.

a machinist was tasked to insert an aluminum piston into a steel cylinder. the inside diameters of the cylinder and of the piston are 0.500 m and 0. 4998 m, respectively, at 25 degree Celsius. To what temperature must the be heated to obtain a perfect fir?

3. A working substance undergoes a reversible non flow process during which P

= (-3V + 100) psia, where V changes from 10 ft3/min to 30 ft3/min. The change

of internal energy for the process is – 100 BTU/min. For a non-flow process,

determine a) work (BTU/min) b) heat transferred (BTU/min).

1. A water pump operating under steady flow conditions delivers 33 kgm/s of

water from initial pressure of 82 kPaa to a final pressure of 275 kPaa. The

diameter of the inlet pipe is 15 cm and the diameter of the discharge pipe is

10 cm. What is the steady flow work if Q=0 and density of water is 1000

kgm/m3?

The pressure in the pressurized water tank is measured by a multi-fluid manometer

with one end open to the atmosphere. Determine the absolute pressure of air in the

tank (pressure at point 1) assuming that the air pressure is uniform. The densities of

mercury, water and oil are 13,600 kgm/m3, 1000 kgm/m3, 850 kgm/m3, respectively. h1

= 20 cm, h2 = 30 cm and h3 = 46 cm

Barometric Pressure is 29.89 in Hg. Convert the following

a. 68 psig to mm Hg absolute

b. 100 kPag to psia

c. 1000 mm Hg absolute to kPag

d. 5 psia to in Hg vacuum