JAMB - Chemistry (1989 - No. 13)
Explanation
The formula is %age by mas of water of crystallization = [(Number of molecules of water x Molar mass of water) / Molar mass of hydrated salt] x100
i.e % by mass of water of crystallization = \(\frac{18x}{molar mass of MSO4.XH\(_2\)O} \times 100\)
Number of molecules of H\(_2\)O X Molar mass of H\(_2\)O = 18X
Molar mass of hydrated salt, MSO4.XH\(_2\)O = 56 + 32 + (16 X 4) + 18X = 152 + 18X
% by mass of H\(_2\)O of crystallization = 45.3%
% by mass of H\(_2\)O of crystallization = \(\frac{18x}{152 + 18x}\times 100\)
45.3% = \(\frac{18x}{152 + 18x}\times 100\)
\(\frac{45.3}{100}\) = \(\frac{18x}{152 + 18x}\)
100 x 18X = 45.3(152+18X)
1800X = 6885.6 + 815.4X
1800X - 815.4X = 6885.6
984.6X = 6885.6
X = \(\frac{6885.6}{984.6}\)
X = 6.993
X = 7.
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