Molecular Physics | Thermodynamics Answers

Derive the single particle partition function for an ideal monatomic gas consisting of N identical particles occupying a volume V. Obtain expression for the entropy and pressure of this system.

If the atmospheric pressure is 108.2 kPa and the gage attached to the tank reads 192 mmHg vacuum, find the absolute pressure within the tank.

Ten kilograms of steam at 100

0C is condensed in 500 kg of water

at 40 0C. What is the resulting temperature? (Ans: 51.8 0C

A copper cylinder has a radius of 2.5 cm and a length of 5.6 cm at 20 degree Celsius. The rod is heated until its temperature is 85 degree Celsius. Find the density of the copper at 85 degree Celsius. If the density of the copper at 20 degree Celsius is 8,960 kg/m^3

Calculate the linear expansivity or brass or length 170m,that assumes new length of 120.05m when heated through the temperature of 100⁰c

Calculate also the area and heated expansivity

A closed tank contains 0.5m of mercury density 13600 kg/m3 , 2m of water of density 1000 kg/m3 and 3m of oil of density 900 kg/m3 and there is an air space above the oil. The gauge pressure at the bottom of the tank is 200 kPa.

(i) Illustrate the stratification of the fluids under gravity with aid of diagram

(ii) Determine the gauge pressure at the top of the tank

A closed tank contains 0.5m of mercury density 13600 kg/m3 , 2m of water of density 1000 kg/m3 and 3m of oil of density 900 kg/m3 and there is an air space above the oil. The gauge pressure at the bottom of the tank is 200 kPa.

(i) Illustrate the stratification of the fluids under gravity with aid of diagram.

(ii) Determine the gauge pressure at the top of the tank.

What is the apparatus use to show that water is a poor conductor of heat

Consider a thermodynamics system consisting of 3 mol of an ideal gas occupying 0.03 m^3 volume at 300k temp. Determine its initial pressure. For this gas ,Y=1.4. It undegoes the following processes:

1.) It is compressed to 0.01 m^3 volume isothermally. Determine the pressure of the gas.

2.) Then it is allowed to expand adibatically, till it attains 1 atm pressure. Determine the final volume.(1atm=101325Nm^-2)

Draw a labelled indicator diagram of these processes.

14 The resistance ofa wire is given by

R= Roll+at+Bt?) PROBLEMS where is

the temperature in degrees Celsius

measured on the ideal gas scale and so

Ro is the resistance at the ice point. The

constants G and B are 3.8 x 10-%K and-

3.0x 106K respectively: Calculate the

tempera-ture on the resistance scale at

a temperature of 70*C on the ideal gas

Scale