Molecular Physics | Thermodynamics Answers

A steel rod increases its length by 5mm when the temperature increases by 10°c. What is the initial length of the rod if the coefficient of linear expansion for steel is 0.00011°c

An ideal gas at initial temperature (T) and initial volume(V) is expanded adiabatically to a volume (2V). The gas is then expanded isothermally a volume (5V) and thereafter compressed adiabatically so that the temperature of the gas becomes again (T).If the final volume of the gas is x(V). then the value of x is......

A body vibrating with simple harmonic motion has a frequency of 4Hz and amplitude of 0.15m. Calculate the maximum values of the acceleration and velocity.
Calculate the acceleration and velocity at a point 0.09m from the equilibrium position of motion

A flexible metal sheet, length 6.0 cm, breadth 5.0cm, average thickness 0.0833 cm has a mass of 23.0g. Calculate the volume and density of the metal sheet:

A. 2.499cm³ and 9.2gcm³
B. 30cm³ and 6.654gcm³
C. 3.645cm³ and 6.310cm³
D. 1.77cm³ and 12.994gcm³

Calculate the change in entropy of gases in the following cases: a) A 3.0 mol sample of an ideal gas expands reversibly and isothermally at 350 K until its volume doubled. b) The temperature of 1.0 mol of an ideal monatomic gas is raised reversibly from 200 K to 300 K, with its volume kept constant.

An ideal monatomic gas undergoes an adiabatic compression from state 1 with pressure p1=1 atm, volume V1=8 L, and temperature T1=300 K to state 2 with pressure p2=32 atm, volume V2=1 L. (a) What is the temperature of the gas in state 2? (b) How many moles of gas are present?
(c) What is the average translational kinetic energy per mole before and after the compression? (d) What is the ratio of the squares of the rms speeds before and after the compression? (e) If we do not know that the ideal gas here is monatomic, demonstrate that the gas is truly monatomic.

An ideal gas (γ = 1.40) expands slowly and adiabatically. If the final temperature is one third the initial temperature, by what factor does the volume change?

3. a) Calculate an expression for entropy of mixing of two ideal gases having n1 and n2
moles respectively at constant temperature T and pressure p. Does it hold for liquids
also? Justify. (5)
b) State Kelvin-Planck and Clausius statements of the second law of thermodynamics.
Establish the equivalence of these two statements. (5)
c) Derive the Ehrenfest’s equation for a second order phase transition. How second
order phase transition is different from lambda transition? Plot Cp versus T for
second order and lambda transitions.

A sample of gas is taken through cycle abca shown in the p-V diagram of Figure 2. The net work done is +2.0 J. Along path ab, the magnitude of the work done is 4.0 J, the energy transferred to the gas as heat is +5.0 J. Along path ca, the energy transferred to the gas as heat is +3.0 J.
(a) What is the change in internal energy along path ab?
(b) How much energy is transferred as heat along path bc?

a narrow glass tube 80 cm long opens at both the ends is half immersed in Hg . now top is closed and taken out of Hg a 20cm long Hg column remain in tube . find atmospheric pressure.