Question

What is the sum of the mole fractions of all the components in a three-component system?
(A) 1
(B) 2
(C) 3
(D) $ \dfrac{1}{3} $

Answer 1

Hint: A segment is one of an assortment of artificially free constituents of a framework. The quantity of segments speaks to the base number of autonomous species important to characterize the organization of all periods of the system. Number of parts in a framework is vital while applying Gibbs' phase rule in assurance of the quantity of levels of opportunity of a framework.

Complete step by step answer
Let, moles of Part A =a
Moles of Part B =b
Moles of Part C =c
Mole fraction of A = $ \dfrac{a}{{a + b + c}} $
Mole fraction of B = $ \dfrac{b}{{a + b + c}} $
Mole fraction of C = $ \dfrac{c}{{a + b + c}} $
In this manner, mole portion of A + B + C = $ \dfrac{{a + b + c}}{{a + b + c}} $ = 1
On the off chance that A, B, C are three segments of a blend, at that point mole fraction of An in the combination is no. of moles of A/complete no. of moles of A, B and C also mole fraction of B and C will be no. of moles of B or C isolated by all out moles, everything being equal, in the event that we add mole portion of the apparent multitude of parts, the total will be 1.
Henceforth, option (A) is right.

Additional Information
Mole fraction represents the quantity of atoms of a specific part in a blend partitioned by the complete number of moles in the given combination. It's a method of communicating the convergence of a solution. The molar part can be spoken to by X. In the event that the arrangement comprises of parts A and B, at that point the mole division is:
Mole fraction of solute = Moles of solute/Moles of solute + Moles of solvent
 $ \dfrac{{{n_A}}}{{{n_A} + {n_B}}} $
Mole fraction of solute = Moles of solute/Moles of solute + Moles of solvent
 $ \dfrac{{{n_B}}}{{{n_A} + {n_B}}} $

Note
One can mistake mole fraction for molar concentration or mass fraction. While mole fraction is a unit-less fraction, molar concentration is a remainder of moles to volume and mass fraction is a proportion of mass and moles.