What is the sum of the mole fractions of all the components in a three component system?

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Solution

The correct option is D 1
Let, moles of Component A $= a$
Moles of Component B $= b$
Moles of Component C $= c$
Mole fraction of A = $\frac{a}{a + b + c}$
Mole fraction of B = $\frac{b}{a + b + c}$
Mole fraction of C = $\frac{c}{a + b + c}$
Therefore, mole fraction of A + B + C = $\frac{a + b + c}{a + b + c} = 1$
Hence, option A is correct.

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What is the sum of the mole fractions of all the components in a three component system?

The correct option is D 1Let, moles of Component A =aMoles of Component B =bMoles of Component C =cMole fraction of A = aa+b+cMole fraction of B = ba+b+cMole fraction of C = ca+b+cTherefore, mole fraction of A + B + C = a+b+ca+b+c=1Hence, option A is correct.