Given:
- Mass of NaOH = 2 grams
- Volume of NaOH solution = 100 mL = 0.1 L
- Volume of HCl solution = 20 mL = 0.02 L
- Volume of NaOH titrant solution = 40 mL = 0.04 L
1. Calculate moles of NaOH:
\text{Moles of NaOH} = \frac{2 \, \text{g}}{40 \, \text{g/mol}} = 0.05 \, \text{mol}
2. Calculate the molarity of NaOH ( M_1 ):
M_1 = \frac{0.05 \, \text{mol}}{0.1 \, \text{L}} = 0.5 \, \text{mol/L}
3. Use the titration formula to find the molarity of the HCl solution ( M_2 ):
M_1V_1 = M_2V_2
0.5 \, \text{mol/L} \times 0.04 \, \text{L} = M_2 \times 0.02 \, \text{L}
M_2 = \frac{0.5 \times 0.04}{0.02} = 1.0 \, \text{mol/L}
Therefore, the concentration of the HCl acid analyte solution is approximately \bf{1.0} mol/L (rounded to 1 significant figure).
\boxed{1.0}