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Potassium manganate and potassium chroma...

Potassium manganate and potassium chromate `(K_(2)CrO_(4))` are isomorphous to each other. Perrcentage of manganese by mass present in potassium manganate is 27.86. determine atomic mass of manganese.

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Potassium chromate `(K_(2)CrO_(4))` is isomorphous with potassium manganate. So according to Mitscherlich's law of isomorphism, the formula of potassium manganate should be `K_(2)MnO_(4)`.
Suppose, the atomic mass of Mn=a
Molecular mass of `K_(2)MnO_(4)=2xx39+1+4xx16=a+142`
`therefore`Percentage of Mn in `K_(2)MnO_(4)=(a)/(a+142)xx100`
As given in the question, `(axx100)/(a+142)=27.86 or, a=54.84`
`therefore`Atomic mass of manganese=54.84.
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