Question

WritethepostulatesofKinetictheoryofgas.

DeriveBoyleslawandRMSvelocityfromkineticgasequation.​

Answer 1

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Explanation:

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Answer 2

The kinetic-molecular theory of gases can be stated as four postulates:

1. A gas consists of molecules in constant random motion.

2. Gas molecules influence each other only by collision; they exert no other forces on each other.

3. All collisions between gas molecules are perfectly elastic; all kinetic energy is conserved.

4. The volume actually occupied by the molecules of a gas is negligibly small; the vast majority of the volume of the gas is empty space through which the gas molecules are moving.

Boyle's law

According to Boyle's law at constant temperature pressure & volume of gas are related as PV= Constant

• According to kinetic theory, pressure of gas is

P= $\frac{1}{3} r {V}^{2}$

Since ,

$\frac{mv}{v}$ =r

PV=$\frac{1}{3} mN {v}^{2}$

Multiplying & dividing by 2 on RHS

PV= $\frac{2}{3}N(\frac{1}{2}mv^2)$

$\frac{1}{2}mv^2=KE$

PV= $\frac{2}{3}$

NK.E.= constant