How many grams of `H_(2)SO_(4)` is/are to be dissolved to prepare 200 mL aqueous solution having concentration of `[H_(3)O^(+)]` ions is 1 M at `25^(@)C` temperature?

Options

A. `4.9g`
B. `19.6g`
C. `9.8g`
D. `0.98g`

Answer

C

Explanation

`2M[H_(3)O^(+)]" ions are obtained from " 1MH_(2)SO_(4)`
`1M[H_(3)O^(+)]" ions are obtained from "0.5MH_(2)SO_(4)`
Molarity,
`M=(m(H_(2)SO_(4))xx1000)/(M(" molar mass ")H_(2)SO_(4)xx" voloume of solution (mL)")`
`0.5=(mxx1000)/(98xx200)rArrm=(0.5xx98xx200)/(1000)=9.8g`