One mole of an ideal diatomic gas undergoes a transition from A to B along a path AB as shown in the figure.



The change in internal energy of the gas during the transition is

Figure below shows two paths that may be taken by a gas to go from a state A to a state C.


In process AB, 400 J of heat is added to the system and in process BC, 100 J of heat is added to the system. The heat absorbed by the system in the process AC will be

A Carnot engine, having an efficiency of as heat engine, is used as a refrigerator. If the work done on the system is 10 J, the amount of energy absorbed from the reservoir at lower temperature is

The ratio of the specific heats $${{{C_p}} \over {{C_v}}} = \gamma $$ in terms of degrees of freedom (n) is given by