When 42.0 mL of HCl of unknown concentration react to completely dissolve a sample of magnesium metal according to the reaction below, 0.193 L of hydrogen gas were collected at 20.5 °C and apressure of 761 torr of pressure. The unreacted acid was titrated to a phenolphthalein end point with 50.3 mL of 0.298 M NaOH.
Mg(s) + HCl(aq)
MgCl2(aq) + H2(g) [unbalanced]
a) How many moles of HCl reacted with the Mg metal?
b) How many moles of unreacted HCl reacted with the NaOH?
c) What is the molarity of the original HCl?