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(D) Statement $(1)$ is incorrect because molarity is defined as moles of solute per liter of $solution$,not $solvent$.Statement $(2)$ is incorrect bec

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(D) Statement $(1)$ is incorrect because molarity is defined as moles of solute per liter of $solution$,not $solvent$.Statement $(2)$ is incorrect because for $Na_2CO_3$,the $n$-factor is $2$,so $Normality = 2 	imes Molarity$.Statement $(3)$ is incorrect because $1000 \ g$ of solvent refers to molality $(m)$,but the statement labels it as molarity $(m)$,which is a notation error (molarity is $M$).Statement $(4)$ is correct. The mole fraction $x_A = \frac{n_A}{n_A + n_B}$ and $x_B = \frac{n_B}{n_A + n_B}$. Therefore,the ratio $\frac{x_A}{x_B} = \frac{n_A}{n_B}$.

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