J.R. S. answered 01/15/21
Ph.D. University Professor with 10+ years Tutoring Experience
The reaction for the titration is
HCl + NaOH ==> NaCl + H2O
We must first find the moles HCl]so that we can use that value to calculate the moles NaOH
To find the moles HCl, we use the ideal gas law:
PV = nRT to find moles of HCl gas:
n = PV/RT = (108 mm/760 mg/atm)(0.189 L) / (0.0821 Latm/Kmol)(298K) = 0.00110 moles HCl
moles NaOH = 0.00110 because it reacts 1:1 with HCl in the balanced equation.
[NaOH] = moles/liters = 0.00110 moles/0.0157 L = 0.0701 M