200cm\(^3\) of 0.50mol/dm\(^3\) solution of calcium hydrogen trioxocarbonate (IV) is heated. The maximum weight of solid precipitated is

A.

10g

B.

25g

C.

20g

D.

15g

Correct answer is A

Equation: Ca(HCO\(_3\))\(_2\) \(\to\) CaCO\(_3\) (precipitate) + H\(_2\)O + CO\(_2\) (in the presence of heat)

V = 200 cm\(^3\) = 0.2 dm\(^3\)

C = 0.5 mol/dm\(^3\) = 0.5M

N = CV \(\implies\) N = 0.5 \(\times\) 0.2

= 0.1 mole

From the equation 1 mole of Ca(HCO\(_3\))\(_2\) gives 100g of CaCO\(_3\)

(1 mole CaCO\(_3\) = 40 + 12 + (3 x 16) = 100g\)

0.1 mole of Ca(HCO\(_3\))\(_2\) gives x g of CaCO\(_3\).

\(\frac{1}{0.10} = \frac{100}{x}\)

\(x = 100 \times 0.10 = 10 g\)