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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
Define first order phase transition. Derive the Clausius-Clapeyron equation. Plot
(a) entropy, and (b) Gibbs function as a function of temperature for a first order
phase transition.
(a) entropy, and (b) Gibbs function as a function of temperature for a first order
phase transition.
Molecular Physics | Thermodynamics
Through statistical thermodynamic approach, calculate the Gibbs energy for 1 mol of H2 and for 1 mol of H atom at 298.15 K and standard pressure. What will be the equilibrium constant of the dissociation reaction H2(g) ↔ 2H(g)?
Molecular Physics | Thermodynamics
The specific heat capacity Cv (J K-1 mol-1) of copper at different temperatures varies as follows
T (K) 1.4 2 2.44 2.83 3.16 3.46 3.74
Cv(J K-1 mol-1 5.26 10.0 16.3 22.5 29.1 37.6 45.33
Calculate the value of γ in the equation Cv = γT + αT3 and the Debye temperature Td. Assume that the number of electrons per unit volume of copper is 8.5 x 1022 cm-3.
T (K) 1.4 2 2.44 2.83 3.16 3.46 3.74
Cv(J K-1 mol-1 5.26 10.0 16.3 22.5 29.1 37.6 45.33
Calculate the value of γ in the equation Cv = γT + αT3 and the Debye temperature Td. Assume that the number of electrons per unit volume of copper is 8.5 x 1022 cm-3.
Molecular Physics | Thermodynamics
A molecule has a triply degenerate excited state lying at 300 cm-1 above the non-degenerate ground state. At what temperature will 20 percent of the molecule be in the upper (excited) level?
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
a) What is transport phenomenon? Obtain an expression for:
i) the average number of molecules crossing an arbitrary plane from either side per
unit area per second is n ,v
ii) the average height at which a molecule makes its last collision before crossing
the plane is .
3
2
λ
iii) Using the results in (i) and (ii) obtain an expression for viscosity of the gas.
iv) Discuss its pressure and temperature dependence.
i) the average number of molecules crossing an arbitrary plane from either side per
unit area per second is n ,v
ii) the average height at which a molecule makes its last collision before crossing
the plane is .
3
2
λ
iii) Using the results in (i) and (ii) obtain an expression for viscosity of the gas.
iv) Discuss its pressure and temperature dependence.
Molecular Physics | Thermodynamics
Write Onne’s equation. Using van der Waals’ equation, obtain an expression of
Boyle temperature (TB) in terms of van der Waals’ constants and hence show that the
Boyle’s temperature is related to critical temperature (TC) through the relation
TB = .3 375TC
Boyle temperature (TB) in terms of van der Waals’ constants and hence show that the
Boyle’s temperature is related to critical temperature (TC) through the relation
TB = .3 375TC
Molecular Physics | Thermodynamics
Write Mayer’s formula. The molar heat capacities of a gas at constant pressure
and constant volume are 28.8 J mol−1
K−1
and 20.5 J mol−1
K−1
respectively.
Calculate the gas constant.
and constant volume are 28.8 J mol−1
K−1
and 20.5 J mol−1
K−1
respectively.
Calculate the gas constant.
Molecular Physics | Thermodynamics
At what rate (W) is heat lost through a 2.25 m by 1.75 m glass window pane that is 0.500 cm thick when the inside temperature is 24.5 0C and the outside temperature -11.5 0C
