Deduce Boyle's law based on kinetic theory.

1.	Deduce Boyle's law based on kinetic theory.
Answer» Solution :Boyle's law: From equation `P=(2)/(3)(U)/(V)=(2)/(3)u`, we know that `PV=(2)/(3)U` But the internal energy of an IDEAL gas is equal to N TIMES the average kinetic energy `(in)` of each MOLECULE `U=Nin` For a fixed TEMPERATURE, the average translational kinetic energy `in` will remain CONSTANT. It implies that `PV=(2)/(3)Nin` Thus PV = constant Therefore, pressure of a given gas is inversely proportional to its volume provided the temperature remains constant. This is Boyle's law.

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