Solve your IGNOU Doubts

Question:

Establish the relation S = k ln W between Thermodynamic probability (W) and entropy (S) .

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Question:

Using the Maxwell’s relations, obtain the energy equations.

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Question:

What is adiabatic demagnetization? Explain the variation of entropy of a paramagnetic salt with temperature and magnetic field.

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Question:

Distinguish between the first and second order phase transitions.

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Question:

Derive Clausius-Clapeyron equation and explain its significance.

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Question:

A Carnot's engine whose low temperature reservoir is at 7°C has an efficiency 50%. By how many degrees should the temperature of the high temperature reservoir be increased to increase the efficiency to 70%?

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Question:

i) Intensive and Extensive variables,

ii) Quasistatic process,

iii) Isochoric process

iv) Adiabatic boundary,

v) Irreversible process

b) Prove that for a PVT system:

$\frac{dV}{V}=\alpha dT-\beta _{r}dp$

where $\alpha$ = isobaric coefficient of volume expansion, $\beta$ r = isothermal compressibility.

c) A resistor initially at 300 K has a heat capacity of 10 J K^-1 . It is thermally insulated from its surrounding and is connected to a battery from which it takes 1200 J through an electric current. Calculate the change in entropy of (i) the resistor, (ii) the surroundings.

d) Calculate the work done during an adiabatic expansion of an ideal gas from volume V_i to V_f .

e) One gram mole of a monoatomic perfect gas $\left ( \gamma =\frac{5}{3} \right )$ at 27°C is adiabatically compressed from an initial pressure of 1 atm to final pressure of 50 atm. Calculate the resulting final temperature.