Calculate the molarity if $30 \, mL$ of $0.5 \, M$ $H_2SO_4$ is diluted to $500 \, mL$. (in $, M$)

For the solution formed by dissolving a solid in water,choose the correct option regarding the following statements: Statement-$1$: $A$ $1$ molal aqueous glucose solution contains $180 \ g$ of glucose in $1000 \ g$ of water. Statement-$2$: $A$ solution containing $1$ mole of solute in $1000 \ g$ of water is called a $1$ molal solution.

The value of which of the following units of concentration will not change with the change in temperature?

$20 \, mL$ of $0.5 \, M \, HCl$ is mixed with $30 \, mL$ of $0.3 \, M \, HCl$. The molarity of the resulting solution is $......... \, M$.

The mole fraction of a solute in a binary solution is $0.1$. At $298 \ K$, molarity of this solution is same as its molality. Density of this solution at $298 \ K$ is $2.0 \ g \ cm^{-3}$. The ratio of molecular weights of the solute and the solvent $(M_{solute} / M_{solvent})$ is:

The mole fraction of a solute in a $100$ molal aqueous solution is $.......... \times 10^{-2}$ (Round off to the nearest integer). [Given: Atomic masses: $H = 1.0 \ u$,$O = 16.0 \ u$]