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Molecular Physics | Thermodynamics
What is Gibb’s paradox? Why does it arise? Obtain Sackur-Tetrode equation and
show that it is free from Gibb’s paradox
show that it is free from Gibb’s paradox
Molecular Physics | Thermodynamics
2 kg of water is heated from 0°C to 100°C and converted into steam at the same
temperature. Calculate the increase in entropy, given that specific heat of water is
4.18 × 103
J kg−1
K−1
and Latent heat of vaporisation is 2.27 × 107
J kg−1
.
temperature. Calculate the increase in entropy, given that specific heat of water is
4.18 × 103
J kg−1
K−1
and Latent heat of vaporisation is 2.27 × 107
J kg−1
.
Molecular Physics | Thermodynamics
The average number of molecules crossing an arbitrary plan either side per unit area per second is 1/4nv
Molecular Physics | Thermodynamics
In deep space, the dumber density of atoms is 10^6 atoms/m^3 and the temperature is 2.7K. What volume in cubic meters is occupied by 1.5 mol of gas? If this volume is a cube, what is the length of one of its edges?
Molecular Physics | Thermodynamics
The number density of gas atoms at a location in the space above Earth is 0.85x10^11 m^-3, and the pressure is 2.95x10^-10 Pa. What is the temperature in this region?
Molecular Physics | Thermodynamics
A boat travels at the rate 25 in still water. If the rate of the current is 18 , what is the rate of the boat
a. upstream
b. downstream
c. across the river?
a. upstream
b. downstream
c. across the river?
Molecular Physics | Thermodynamics
9 If three persons, on an average, come to a company for job interview per day, then
determine the probability that less than three people have come for an interview on
a given day.
10. The variation of the specific heat capacity of air with temperature is given in the
following set of data:
Heat Capacity
(in kJ kg−1
K−1
)
1.003 1.005 1.008 1.013 1.020 1.029
Temperature (in K) 250 300 350 400 450 500
Compute the correlation coefficient rXY.
******
determine the probability that less than three people have come for an interview on
a given day.
10. The variation of the specific heat capacity of air with temperature is given in the
following set of data:
Heat Capacity
(in kJ kg−1
K−1
)
1.003 1.005 1.008 1.013 1.020 1.029
Temperature (in K) 250 300 350 400 450 500
Compute the correlation coefficient rXY.
******
Molecular Physics | Thermodynamics
Consider a classical linear oscillator with
2
2
2
bx
m
p
ε = +
where b is a constant. Assuming that the oscillator is in thermal equilibrium with a
heat reservoir at temperature T, calculate (i) the mean kinetic energy, (ii) the mean
potential energy for an assembly of N such oscillators.
2
2
2
bx
m
p
ε = +
where b is a constant. Assuming that the oscillator is in thermal equilibrium with a
heat reservoir at temperature T, calculate (i) the mean kinetic energy, (ii) the mean
potential energy for an assembly of N such oscillators.
Molecular Physics | Thermodynamics
Consider a classical linear oscillator with
2
2
2
bx
m
p
ε = +
where b is a constant. Assuming that the oscillator is in thermal equilibrium with a
heat reservoir at temperature T, calculate (i) the mean kinetic energy, (ii) the mean
potential energy for an assembly of N such oscillators.
2
2
2
bx
m
p
ε = +
where b is a constant. Assuming that the oscillator is in thermal equilibrium with a
heat reservoir at temperature T, calculate (i) the mean kinetic energy, (ii) the mean
potential energy for an assembly of N such oscillators.
Molecular Physics | Thermodynamics
Define thermodynamic probability (W) of the macrostate. Establish the relation
between entropy (S) and W.
between entropy (S) and W.
