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IGNOU BHPCT-135 Important Question & Exam Note in English Medium Download
IGNOU BHPCT-135 Important Question & Exam Notes ,Top 20 Question of BHPCT-135
|Calculate the temperature at which root mean square speed of nitrogen molecules exceeds their most probable speed by 200 ms . 1 Take 28 kg kmol .
|Calculate the diffusion coefficient of hydrogen molecules at 27C when pressure is 3 atm. Assume that it behaves as a Maxwellian gas. Take rH2 1.371010m and 1.38 10 JK .23 1 B k
|What do you understand by (i) isobaric (ii) isochoric (iii) isothermal, and (iv) cyclic processes? Represent these processes on p-V diagrams.
|Two moles of an ideal gas at STP is expanded isothermally to thrice its volume. It is then made to undergoes isochoric change to attain its original pressure. Calculate the total work done in these processes. Take 8.3 JK mol . 1 1 R
|Write Kelvin-Planck and Clausius statements of the second law of thermodynamics. Show that these two statements are equivalent.
|Calculate the change in entropy when 20 g of ice at 0C is converted into steam. [Given: latent heat of fusion of ice = 80 cal g 1 , latent heat of fusion of steam = 540 cal g 1 ]
|Using Maxwell’s relations, deduce first and second TdS-equations. Also, obtain the first TdS-equation in terms of volume expansivity () and isothermal compressibility (T ).
|State Stefan-Boltzmann’s law of black body radiation. Plot spectral energy density of a black body with wavelength at different temperatures and discuss the results of these plots.
|Derive Boltzmann entropy relation S kB lnW, where W is a thermodynamic probability.
|Using the expression of thermodynamic probability of a Fermi-Dirac system, derive the expression for the distribution function and plot it as a function of energy at temperatures (i) T = 0 K and (ii) T > 0 K.
|A box of volume 3 1cm contains 21 410 electrons. Calculate Fermi energy of these electrons. [Take: 9.1 10 g 28 me and 6.62 10 ergs]. 28 h
|Write the expression for N distinguishable particles partition function for an ideal gas and hence obtain expressions for heat capacity at constant (i) volume, and (ii) pressure.
|Calculate the temperature at which root mean square speed of gas molecules is double of its speed at 27 C, pressure remaining constant.
|Discuss the sedimentation in Brownian motion and show that during sedimentation, particle concentration decreases exponentially as height increases.
|Define mean free path. Obtain its expression under zeroth order approximation.
|Define viscosity. Discuss the effect of temperature and pressure on viscosity.
|What do you understand by intensive and extensive variables of a system? State with reasons, which of the following variables are intensive and which are extensive?
i) Number of gas molecules enclosed in a box;
ii) Density of gas in a box;
iii) Wavelength of radiation emitted by a black body at temperature T;
iv) Intensity of radiation emitted by a black body at temperature T.
|Consider a thermodynamic system consisting of 3 mol of an ideal gas occupying 0.03 m3 volume at 300 K temperature. Determine its initial pressure. For this gas, γ=1.4. It undergoes the following processes:
i) It is compressed to 0.01 m3 volume isothermally. Determine the pressure of the gas.
ii) then it is allowed to expand adiabatically, till it attains 1 atm pressure. Determine the final volume. (1 atm = 101325 Nm-2 )
Draw a labeled indicator diagram of these processes
|Explain with examples, what are reversible and irreversible processes? Why can a reversible process be attained only in a hypothetical situation?
|Derive an expression for efficiency of a Carnot engine using T-S diagram. A Carnot engine has an efficiency of 50 percent when its sink temperature is at 27 C. Calculate the change in source temperature for increasing its efficiency to 60 percent
|Using Maxwell’s relations, deduce first and second energy equations.
|What is Joule-Thomson effect? Write an expression for Joule-Thomson coefficient for a van der Waals’ gas and discuss the significance of a and b in this expression.
|Write an expression of Planck’s law of black body radiation and hence obtain Stefan’s-Boltzmann law.
|Derive the single-particle partition function for an ideal monatomic gas consisting of N identical particles occupying a volume V. Obtain expressions for the entropy and pressure of this system
|Four particles are to be distributed in 5 states. Calculate the number of ways in which this distribution can be done if the particles obey:
(i) M-B statistics and (ii) B-E statistics
|Two systems have thermodynamic probabilities of 3.01027 and 1.81028 respectively. Calculate the entropies of the individual systems and as well as their composite system and verify the Boltzmann relation
|The number density of copper atoms is 8.491028 atoms m–3 . If each atom contributes one free electron for conduction, examine whether the electron gas is strongly degenerate at room temperature.
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