Answer:
The concentration of NaOH in the final solution is 0.041 mol/L.
Explanation:
1. Solution A: 555 mL of 0.250 M NaOH
0.250 mol NaOH ___ 1000 mL
x ___ 555 mL
x = 0.139 mol NaOH
2. NaOH: 40 g/mol
40 g NaOH ___ 1 mol
9.3 g NaOH ___ y
y = 0.232 mol NaOH
3. Solution B: 0.139 + 0.232 mol NaOH in 555 mL
0.371 mol NaOH ___ 555 mL
4. Final solution: 0.371 mol NaOH in (555 mL + 2.25 gallons of water)
1 gallon ___ 3785.41 mL
2.25 gallon __ V
V = 8517.17 mL = 8.517 L
Total volume: 0.555 L + 8.517 L = 9.072 L
0.371 mol NaOH ___ 9.072 L
n ___ 1.000 L
n = 0.041 mol NaOH
The concentration of NaOH in the final solution is 0.041 mol/L.