Each of the two isolated vessels, A and B of fixed volumes, contains N molecules of a perfect monatomic gas at pressure p. The temperatures of A and B are T1
and T2 respectively. The two vessels are brought into thermal contact. At equilibrium, the change in entropy is
The pressure versus temperature diagram of a given system at certain low temperature range is found to be parallel to the temperature axis in the liquid to solid transition region. The change in the specific volume remains constant in this region. The conclusion one can get from the above is
A Carnot cycle operates on a working substance between two reservoirs at temperatures T1 and T2, where, T1 > T2. During each cycle an amount of heat Q1 is extracted from the reservoir at T1 and an amount Q2 is delivered to the reservoir at T2. Which of the following statements is incorrect?
The mean free path of the particles of a gas at a temperature T0 and pressure p0 has a value λ0. If the pressure is increased to 1.5 p0 and the temperature is reduced to 0.75 T0, the mean free path
The phase diagram of a free particle of mass m and kinetic energy E, moving in one-dimensional box with, perfectly elastic walls at x = 0 and x = L, is given by
A system of N non-interacting classical point particles constrained to move on the two-dimensional surface of a sphere. The internal energy of the system is
The wavefunctions of two identical particles in stated n and s are given by ϕn(r1) and ϕs(r2) , respectively. The particles obey Maxwell-Boltzmann statistics. The state of the combined two particles system is expressed as
The vapour pressure p (in mm of Hg) of a solid, at temperature T, is expressed by In p = 23 - 3863/T and that of its liquid phase by In p = 19 - 3063/T. The triple point (in kelvin) of the material is