Analysis shows that a metal oxide has the empirical formula `M_(0.96)O_(1.00)`. Calculate the percentage of `M^(2+)` and `M^(3+)` ions in the sample.

Options

A. `5.08%`
B. `7.01%`
C. `4.08%`
D. `6.05%`

Answer

C

Explanation

Let the fraction of metal which exists as `M^(3+)` be x.
Then the fraction of metal as
`M^(2+)=(0.98-x)`
`:.3x+2(0.98-x)=2`
`x+1.96=2`
`implies" "x=0.04`
`:.%" of M"^(3+)=(0.04)/(0.98)xx100=4.08%`