The strength of 50 volume solution of hydrogen peroxide is ______ $\mathrm{g}/\mathrm{L}$ (Nearest integer). Given: Molar mass of $\mathrm{H}_{2}\mathrm{O}_{2}$ is $34~\mathrm{g~mol}^{-1}$ Molar volume of gas at STP = $22.7~\mathrm{L}$.

JEE Main · 2023 · 30 Jan 2023 · Shift 2 · Hydrogen

The strength of 50 volume solution of hydrogen peroxide is ______

g / L

(Nearest integer).

Given:
Molar mass of

H_{2} O_{2}

34 g mol^{- 1}

Molar volume of gas at STP =

22.7 L

Answer: 150

A "

50

volume" hydrogen peroxide solution is one of which one litre liberates

50 L

of oxygen at standard conditions. Since two moles of hydrogen peroxide give one mole of oxygen,

2 H_{2} O_{2} \to 2 H_{2} O + O_{2},

the

50 L

of oxygen amount to

50/22.7 = 2.20 mol

, and so to

4.41 mol

of hydrogen peroxide per litre. Multiplying by the molar mass,

4.41 \times 34 \approx 150,

the strength of the solution is

150 g L^{- 1}

JEE Main · 2023 · 30 Jan 2023 · Shift 2 · Integer answer