We have given,
weight of NaHCO3 = 8.4 mg
molecular weight of NaHCO3 = 84 g/mol
Number of moles of NaHCO3 \(=\frac{0.0084\,g}{84\,g/mol}\)
= 0.0001 mol
Concentration of HCl = 0.03 M
Volume of HCl = 10 mL
∴ moles of HCl = 0.03 M x 0.01 L
= 0.0003 mol
NaHCO3 + HCl → NaCl + H2O + CO2 ↑
∵ 1 mole of NaHCO3 reacts with 1 mol. of HCl and give 1 mol NaCl, 1 mol H2O and 1 mol CO2 gas.
∴ 0.0001 mol, NaHCO3 reacts with 0.0001 mol HCl
So, left HCl = 0.0002 mol
∴ Concentration of HCl = 0.0002/10 x 1000
= 0.02 M HCl