The aluminum sulphate hydrate $[A l_{2} (S O_{4})_{3} \cdot x H_{2} O]$ contains $8.20$ percent $A l$ by mass. The value of $x$ , that is, the number of water molecules associated with each $A l_{2} (S O_{4})_{3}$ units is ________. (write the ans in the form of x/3)

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Solution

Molar mass of $A l_{2} (S O_{4})_{3} \cdot x H_{2} O = 342 + 18 x$ .
$%$ of $A l = \frac{54 \times 100}{342 + 18 x} = 8.2$ .
$x = 18$ .

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