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Answer 1 · 2018-01-26T22:04:22

x = 7 Solution follows

From the formula, we can see that the number of oxygen atoms would be 4 + x. The total mass of this oxygen would then be $16 xx (4+x) = 64 + 16x$

In the same way, the mass of the entire compound can be expressed in terms of x, as

$(24.3 + 32.1 + 64.0) + x(2+16)= 120.4+18x$

The fraction of the mass that is oxygen is therefore

$(64 + 16x)/(120.4+18x)$

and because we know the oxygen represents 71.4% of the mass, we can write

$(64 + 16x)/(120.4+18x)=0.714$

Now, solve for x:

$64 + 16x=(120.4+18x)xx0.714$

$64 + 16x=85.97+12.85x$

$3.15x = 21.97$

$x=6.97$ which we round off to 7