state two mathematical expression for Raoult's law

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Raoult’s Law => VP(Soln) = X(Solvent)∙VP(Solvent) = VP(Solvent) – X(Solute)∙VP(Solvent)

Raoult's law is a principle in thermodynamics that relates the vapor pressure of an ideal solution to the mole fractions of the components involved. It is typically expressed in terms of two mathematical expressions:

1. The first expression of Raoult's law is for the vapor pressure of a component in a mixture:
P₁ = X₁P₁*(pure)

Where:
P₁ = vapor pressure of component 1 in the mixture
X₁ = mole fraction of component 1 in the mixture
P₁*(pure) = vapor pressure of pure component 1

This expression states that the vapor pressure of a component in a mixture is directly proportional to its mole fraction in the mixture and the vapor pressure of the pure component.

2. The second expression of Raoult's law is for the total vapor pressure of the mixture:
P = P₁ + P₂

Where:
P = total vapor pressure of the mixture
P₁ = vapor pressure of component 1 in the mixture
P₂ = vapor pressure of component 2 in the mixture

This expression states that the total vapor pressure of the mixture is the sum of the vapor pressures of each component in the mixture.

By using these two mathematical expressions, one can apply Raoult's law to calculate the vapor pressure of components in a mixture or the total vapor pressure of the mixture.