The sulphate of a metal M contains $9.87 %$ of $M$ . This sulphate is isomorphous with $Z n S O_{4} .7 H_{2} O$ . The metal can be:

Calcium

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Manganese

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Magnesium

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Iron

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Solution

The correct option is C Magnesium
Isomorphous in crystallography means crystal of closely similar shape.

So let the mass of the metal M = x.
So, according to the equation,

$\frac{x}{x + 32 + 64 + 7 \times 18} \times 100 = 9.87$

$\Rightarrow 100 x = 9.87 x + 2191.14$

$\Rightarrow x = 24.31$

So the metal is magnesium

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