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A carpenter spent his morning working using a steel hammer under the heat of the sun. The volume of the hammer is 10 cubic inches at 21 degrees Celcius. After his work, what was the volume of the hammer if the temperature at noon is at 33 degrees Celcius? 


4. A system consisting of 0.32 mol of a diatomic ideal gas undergoes a cycle starting at 

point A (2 atm, 1L). The following process is carried through a cycle:

(a) The gas is heated at constant pressure until its volume is 2.5 L at point B.

(b) The gas is cooled at constant volume until the pressure is 1 atm at point C.

(c) The gas is compressed at constant pressure until its volume is 1L at point D.

(d) The gas is heated until it goes back to initial point.


i. Show the processes on a diagram.

(4)

ii. Calculate the temperatures at point A and point B.

(6)

iii. Calculate the work done on each process.




3. A litre of water with mass of 1 kg is heated from 0 oC to 100 oC. Calculate the increase in entropy. Assume that the specific heat capacity of water is C = 4184 J kg−1 K−1, that it does not vary significantly through the temperature range of the question.



1. At absolute zero temperature, all states within the Fermi sphere are occupied by electrons with spin state of half. Take density  cm-3. Calculate


i. Fermi wave vector.

(3)

ii. Fermi energy.

(3)

iii. Fermi momentum.



2. A 50 g Aluminium disk at 300 oC is placed in 200 cm3 of ethyl alcohol at 10 oC, then removed quickly. The Aluminium temperature is found to have dropped to 120 oC. Calculate the new temperature of the ethyl alcohol.


Heat is added to 200 kg of ice at 0 ºC until dry steam at 100 ºC is obtained.

The specific heat capacity of water is 4200 J kg‑1 K‑1, the specific latent heat of steam is 2260 kJ kg-1 and the specific latent heat of ice is 335 kJ kg-1.

Determine the total amount of heat energy (in MJ) added to the ice.


Each of two Carnot X and Y engines uses the same cold reservoir at a temperature of 400 o

F for its exhaust heat. X engine receives 

twice the heat input of Y engine as 1450 J. The work from either of these engines is used to drive a pulley arrangement that uses a 

rope to accelerate a 125-kg crate from rest along a horizontal frictionless surface. With engine X the crate attains a speed of 20.00 

km/s; while with engine 2 it attains a speed of 30.00 m /hr. (i) With which engine is the change in the crate’s kinetic energy greater? 

(ii) Which engine does more work? (iii) For which engine is 


derive the formula for compressiblility of an ideal Fermi gas when the degeneracy is strong. Calculate the compressibility of Na crystal which

has one free electron per atom. (atomic weight of Na is 23, and density is 0.97 g/cm3)


A brass bar, 15 cm in length, is welded to an aluminum bar, 10 cm in length. Both have a cross section of 3 cm on a side. If the free end of the brass bar is at 50 degrees Celcius and the the free end of the aluminum bar is at 25 degrees Celcius, what is the steady-state temperature at the junction of the 2 bars? *




A carpenter spent his morning working using a steel hammer under the heat of the sun. The volume of the hammer is 10 cubic inches at 21 degrees Celcius. After his work, what was the volume of the hammer if the temperature at noon is at 33 degrees Celcius?