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Q.

Clay contains silica water and other non-volatile impurities. A 50g sample of clay is analyzed to contain 25g of silica and 7.5g of water. $x$ g of such sample is heated until it loses 5g of water. If this partially dried clay contains 52% silica, then the percentage of water in it is _____

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answer is 11.6.

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Detailed Solution

Let the wt. of sample = x g
Mass of silica = $x \times \frac{50}{100} = 0.5 x$
Mass of water $= x \times \frac{15}{100} = 0.15 x$
Mass of water left $= (0.15 x - 5) g$
New mass of sample $= (x - 5) g$
% of silica $= \frac{0.5 x}{(x - 5)} \times 100 = 52 x = 130 g$
% of water $= \frac{0.15 \times 130 - 5}{(130 - 5)} \times 100 = 11.6 %$

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Clay contains silica water and other non-volatile impurities. A 50g sample of clay is analyzed to contain 25g of silica and 7.5g of water.x g of such sample is heated until it loses 5g of water. If this partially dried clay contains 52% silica, then the percentage of water in it is _____