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Using Maxwell’s relations, deduce first and second TdS equations
Two separate containers are filled with different gases. If these gases are
allowed to mix, obtain an expression for entropy of mixing per mole of the
mixture.
Derive the expression for the efficiency of a Carnot cycle for an ideal gas. Hence,
obtain its value for a heat engine operating between fixed temperatures 600 K
and 300K.
Derive Planck’s law of black body radiation.
One mole of oxygen at 273 K and atmospheric pressure is adiabatically
compressed to 5 atm. Calculate the final temperature. Also calculate the work
done on the gas. Take gama = 1.4 and R = 8.31 J mol-1 K-1.
Air in an enclosure is compressed isothermally until its pressure is doubled. It is
then expanded adiabatically until its original volume is restored. Its pressure is
then recorded as 0.75 of its initial value. Determine the value of gama.
What is meant by internal energy of a system? State the first law of
thermodynamics in its differential form. Write it for isothermal, adiabatic and
isochoric changes, bita dp=alpa dT.
For a thermodynamic system, isobaric coefficient of volume expansion (alpa) and isothermal compressibility (bita) are defined as
ailpa=1/V(dV/dT)p
bita=-1/V(dV/dT)T
Show that for an isochoric change, dp = dT.
Explain the five types of boundaries with one example each (other than the ones discussed in the study material) encountered in the thermodynamic systems.
What is Brownian motion? State four significant characteristics of Brownian
motion.
