the average height at which a molecule makes its last collision before crossing
the plane is
2λ.
3
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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.
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
Discuss its pressure and temperature dependence.
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.
Define thermodynamic probability (W) of the macrostate. Establish the relation
between entropy (S) and W.
the average height at which a molecule makes its last collision before crossing
the plane is
2λ.
3