Question

In: Chemistry

what is the pH of a solution following the combination of 245.0 mL of a 4.00*10^-3...

what is the pH of a solution following the combination of 245.0 mL of a 4.00*10^-3 M NaOH solution with 255.0 mL of a 2.33*10^-3 M H2SO4 solution?

Solutions

Expert Solution

no. of mole = molarity volume of solution in liter

mole of NaOH = (4.0010-3)(0.245L) = 0.00098 mole

mole of H2SO4 = (2.3310-3)(0.255L) = 0.00059415 mole

reaction of NaOH with H2SO4 take place as follow

2NaOH + H2SO4 Na2SO2-4 + 2H2O

According to reaction 2 mole of NaOH react with 1 mole of H2SO4

then 0.00098 mole of NaOH react with 0.00098 / 2 = 0.00049 mole of H2SO4

mole of H2SO4 remained unreacted = 0.00059415 - 0.00049 = 0.00010415 mole

H2SO4 dissociated as

H2SO4 2H+ +SO2-4

1 mole H2SO4 produce 2 mole H+ ion then 0.00010415 mole of H2SO4 produce 0.000104152 = 0.00020830 mole of H+ ion

total volume of solution = 245ml + 255ml = 500 ml = 0.5L

malarity = no. of mole / volume of solution in liter

[H+] = 0.00020830/0.5 = 0.0004166

pH = -log[H+] = -log(0.0004166) = 3.38

pH of solution = 3.38


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