In: Chemistry
For the reaction Ca(OH)2(s)+2HCl(aq)→CaCl2(aq)+2H2O(l)
a) How many grams of Ca(OH)2 are required to react completely with 430 mL of 0.450 M HCl?
b) How many kilograms of Ca(OH)2 are required to react with 333 L of a HCl solution that is 24.28% HCl by mass, and has a density of 1.12g/mL?
Ca(OH)2 + 2HCl ------------------------> CaCl2 + 2H2O
a)
moles of HCl = 430 x 0.450 / 1000
= 0.194
1 mole Ca(OH)2 --------------------------------> 2 mole HCl
x mole Ca(OH)2 -----------------------------> 0.194 mole HCl
x = 0.194 x 1 / 2
x = 0.0968
moles of Ca(OH)2 = 0.0968
mass of Ca(OH)2 = 0.0968 x 74.09
= 7.17 g
mass of Ca(OH)2 = 7.17 g
b)
molarity of HCl = mass % x 10 x density / molar mass
= 24.28 x 10 x 1.12 / 36.5
= 7.45 M
volume of HCl = 333 L
moles of HCl = molarity x volume
= 7.45 x 333
= 2481
moles of Ca(OH)2 = 2481 / 2
= 1240.5
mass of Ca(OH)2 = 1240.5 x 74.09
= 91907 g
= 91.9 kg
mass of Ca(OH)2 required = 91.9 kg