The empirical formula of a non-electrolyte (X) is `CH _(2) O.` A solution containing six gram of X exert the same osmotic pressure as that of `0.025`M. glucose solution at the same temperature. The molecular formula of X is ………….

Options

A. `C_(2)H_(4) O _(2)`
B. `C_(8) H_(16) O _(8)`
C. `C_(4) H_(8) O_(4)`
D. `CH_(2) O`

Answer

B

Explanation

`(pi _(1)) _("non electrolyte") = (pi _(2) ) _("glucose" )`
` C _(1) RT =C _(2) RT`
`(W _(1))/( M _(1)) = (W_(2))/(M _(2)){:(CH_(2)O), (12+2 +16=30):}`
`(6)/(n (30)) = 0.025`
`therefore n = (6)/(0.025 xx 30) =8`
`therefore` Molecular formula `= C _(8) H _(16) O _(8)`