Question

state and write mathematical expression and Dalton law of partial pressure and explain it with suitable example​

Answer 1

Dalton’s Law, or the Law of Partial Pressures, states that the total pressure exerted by a mixture of gases is equal to the sum of the partial pressures of the gases in the mixture.

Mathematically we can write :

PressureTotal = PressureGas 1 + PressureGas 2 + PressureGas 3 + ... PressureGas n

P total =Pa +Pb +Pc....... +Pn

Where a, b, c......... n are the different gases in a mixture.

Conceptual reason :

Based on the kinetic theory of gases, a gas will diffuse in a container to fill up the space it is in and does not have any forces of attraction between the molecules. In other words, the different molecules in a mixture of gases are so far apart that they act independently; they do not react with each other. The pressure of an ideal gas is determined by its collisions with the container, not collisions with molecules of other substances since there are no other collisions. A gas will expand to fill the container it is in without affecting the pressure of another gas.

Answer 2

Answer:

Statement : The total pressure of a mixture of two or more unreactive gases is the sum of the partial pressures of the individual gases in the mixture.

If P_1, P_2, P_3, ...... are partial pressures of constituent gases in the mixture at constant volume and temperature then by Dalton's law, total pressure is, P_Total = P_1 + P_2 +P_3 + ...... This is mathematical statement of Dalton's law.