The density of $NH_4OH$ solution is found to be $0.6 \, g/mL$. It contains $35 \%$ by mass of $NH_4OH$. The normality of the solution is ......... $N$.

Which of the following statements is correct?
$(1)$ Molarity is the number of moles of solute in one liter of solution.
$(2)$ The normality and molarity of a sodium carbonate solution are the same.
$(3)$ The number of moles of solute dissolved in $1000 \ g$ of solvent is defined as molality $(m)$.
$(4)$ The ratio of the mole fractions of solute and solvent is equal to the ratio of their respective moles.

An antifreeze solution is prepared from $222.6 \ g$ of ethylene glycol $[C_2H_4(OH)_2]$ and $200 \ g$ of water. What is the molality of this solution (in $m$)?

The number of moles of $KCl$ in $1000 \ mL$ of $3 \ M$ solution is

Calculate the $\% \, w/w$ of a solution formed by dissolving $20 \, g$ of solute in $200 \, g$ of water.

Which of the following properties will change when the system containing solution $1$ becomes solution $2$?

$10 \ mol$ of solute $x + 10 \ L$ of water

$1 \ L$ of solution $1 + 1 \ mol$ of solute $x + 1 \ L$ of water

(Solution $1$) (Solution $2$)