100 mL of ozone `(O_3)` at STP were passed through 100 mL of 10 volume `H_2O_2` solution. What is the volume strength of `H_2O_2` after the reaction?

Options

A. `9.5`
B. `9.0`
C. `4.75`
D. `4.5`

Answer

A

Explanation

`O_(3)toO_(2)+O....(i)`
`H_(2)O_(2)toH_(2)O+O....(ii)`
`O+OtoO_(2)......(iii)`
`1//2 vol ,1//2 vol ,1vol`
`100 mL of O_(3)` at `STP` will produce will produce `100 mL` of `O_(2)` as such and `100 mL` of `O_(2)` after reaction with `H_(2)O_(2)`. This new volume of `100 mL` of molecular oxygen after reaction with `H_(2)O_(2)` is contributed equally by `O_(3)` and `H_(2)O_(2)`. thus `50 mL` of oxygen has been contributed by `H_(2)O_(2)`.
Again, we know that
Volume of `H_(2)O_(2)xx` vol stre ngth of `H_(2)O_(2)`
=vol of `O_(2)` at `STP`
After utilisation of `50 mL` of `O_(2)`, according to Eq. (iii), the balance `(1000-50)=950 mL` of `O_(2)` at `STP` are still retainable by `100 mL of H_(2)O_(2)`. hence vol strength of `H_(2)O_(2)` after reaction
`=("Volume of " O_(2) at STP)/("Volume of "H_(2)O_(2))`
`=950/100=9.5 V`
`:.` volume strength `=9.5`