Concentrated $\mathrm{H}_{2} \mathrm{O}_{2}$ solution is used as oxidant in rocket fuel and diluted $\mathrm{H}_{2} \mathrm{O}_{2}$ solution is used as hair bleach. A 30% $\mathrm{H}_{2} \mathrm{O}_{2}$ (w/w) aqueous solution has density 1.11 gm/mL. What is the molarity and mole fraction of the $\mathrm{H}_{2} \mathrm{O}_{2}$ solution ?