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List the different between first and second order phase transition. What are the characteristics of lambda transition.?
a. Draw the carnot cycle on P-V diagram. Show that the amount of heat absorbed ( rejected ) in a reversible cycle is proportional to the temperature of source (sink).

b. The efficiency of a carnot engine is 30% . Its efficiency is to be raised to 60% by how much the temperature of the source be increased if the sink is at 27°?
Calculate the temperature at which the root mean square speed of hydrogen and oxygen molecules will be equal to their escape velocities from the earth gravitational field. The radius of the earth is 6400 km

Take , NA= 6×1000000000000000000000000000000 1/mol
KB= 1.38 × 10/100000000000000000000000000 j/k
g= 9.8 m/s2
Define mean free path of a molecules in a gas. Derive the law of distribution of free path.
Establishe vender waal's equation of state for a real gas .Plot vender wall's equation of state on P-V diagram.
Derive planks law of black body radiation using this law ,obtain
1. Rayleigh -Jean law
2. Wein's law
The mean speed of oxygen molecules is 450 ms-1. If the radius of an oxygen molecule is 1.8 Å, calculate mean time between two successive collisions and mean free path. Take .m103325
5. a) Explain the following:

i) Bose-Einstein condensation.
ii) Gibbs paradox.
Establish van der Waals’ equation of state for a real gas. Plot van der Waals’
equation of state on p-V diagram.
List the differences between first and second order phase transitions. What are the
characteristics of lambda transition?
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