Question

which of the following is a dimensionless quantity : molarity, molality or mole fraction​

Answer 1

Mole fraction is a dimension less quantity.

Answer 2

Mole fraction​ is a dimensionless quantity

Explanation:

Molarity of a solution is defined as the number of moles of solute dissolved per Liter of the solution.

$Molarity=\frac{n}{V_s}$

where,

n= moles of solute

$V_s$ = volume of solution in L

Thus molarity has units of mol/L

Molality of a solution is defined as the number of moles of solute dissolved per kg of the solvent.

$Molarity=\frac{n}{W_s}$

where,

n = moles of solute

$W_s$ = weight of solvent in kg

Thus molality has units of mol/kg

Mole fraction is the ratio of moles of one substance to the total moles present.

${\text {mole fraction of A}=\frac{\text {moles of A}}{\text {total moles}}$

Thus mole fraction has no units

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