Using the Laplace formula, calculate the velocity of sound for air. Given γ = 1.4,
ρ = 1.29 kg m−3 and p = 1.01 × 105 Nm−2
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Define thermodynamic probability (W) of the macrostate. Establish the relation
between entropy (S) and W.
Define Fermi energy. Show that the expression of Fermi-energy is given by
How it is related with Fermi-temperature.
A gaseous system expands from volume V1 to V2 under isobaric conditions.
Calculate the work done in this process.
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
Write principal merits of a Pt-resistance thermometer.
Write the first law of thermodynamics for a gaseous system. Show that the
expression of difference of heat capacities of a gas at constant pressure and at
constant volume is given by
b) 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.
Represent the following processes on the p-V diagrams: i) isobaric, ii) isochoric,
iii) isothermal, iv) cyclic.