Calcium carbonate reacts with aqueous HCl to give CaCl2 and CO2 according to the reaction,
What mass of CaCO3 is required to react completely with 25 mL of 0.75 M HCl?
Given:
Volume of HCl = 25 ml
Molarity of HCl = 0.75 M
Atomic Mass of Hydrogen = 1g
Atomic Mass of Chlorine = 35.5g
Molecular Mass of HCl = 1 + 35.5
= 36.5g
By Avogadro’s Law,
1 mole of HCl→ 36.5g of HCl
So 0.75 moles of HCl → X g of HCl
X = 0.75×36.5
X = 27.35 g
Thus, 1000 mL of solution contains HCl = 27.375g
1000ml of HCl → 27.357g of HCl
So 25 ml of HCl → X g of HCl
X = [25×27.375]/1000
= 684.375/1000
=0.68438 g
From the chemical equation given in the question,
CaCO3+2 HCL →CaCL2+H2O
We observe that
2 moles of HCl reacts with 1 mole of CaCO3
73 g of HCl reacts with 100g of CaCO3
0.68438g of HCl reacts with X g of CaCO3
X = [0.68483×100]/73
= 68.483/73
= 0.93812 g
So amount of CaCO3 required is 0.94g.