An unknown oxide of manganese is reacted with carbon to from manganese metal and `CO_(2)` Exactly `31.6g` of the oxide, `Mn_(x)O_(y)`, yielded `13.2g` of `CO_(2)`. The simplest formula of the oxide is `(Mn = 55)` :

Options

A. `MnO`
B. `MnO_(2)`
C. `Mn_(2)O_(3)`
D. `Mn_(3)O_(4)`

Answer

B

Explanation

`Mn_(x)O_(y) + (y)/(2)C rarr (y)/(2) CO_(2) + xM_(x)`
`(y)/(2) = (13.2)/(44) rArr y = 0.6`
`55x + 0.6 xx 16 = 31.6 rArr x = 0.4 rArr x : y = 2 : 3`