The neutralization reaction is:
Ca(OH)2 + 2HBr ---------- CaBr2 + 2H2O
Therefore based on the reaction stoichiometry, the ratio of Ca(OH)2 : HBr = 1:2
Titration data:
Concentration of HBr = 5.00 *10^-2 M
Volume of HBr required = 48.8 ml = 0.0488 L
# moles of HBr = 5.00 *10^-2 moles L-1 * 0.0488 L = 0.00244 moles
Based on the reaction stoichiometry:
Moles of Ca(OH)2 = 1/2 * Moles of HBr = 1/2 * 0.00244 = 0.00122 moles
Volume of Ca(OH)2 taken = 100 ml = 0.1 L
Concentration of Ca(OH)2 = 0.00122/0.1
= 0.0122 M = 1.22 * 10^-2 M