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What concentration of acetic acid is needed to give a hydrogen ion concentration of 3.5 × 10-4 M ?     Ka= 1.8 × 10-5 ?

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a
3.5 × 10-4 M
b
6.80 × 10-3 M
c
4.2 × 10-4 M
d
7.2 × 10-4 M

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detailed solution

Correct option is B

CH3COOHC - Cα  ⇌  CH3COO-Cα    +  H+CαLet the concentration of acetic acid be ‘C’.Ka= 1.8 × 10-5 = Cα.CαC1-α = Cα2Now  α2 = KaC  or  α =KaC or  Cα = Ka.CCα = H+ = 3.5 × 10-4M∴       3.5 × 10-4= 1.8 × 10-5COr      C = 3.5 × 10-41.8 × 10-5C = 3.5 × 10-421.8 × 10-5   = 12.25 × 10-81.8 × 10-5 = 6.80 × 10-3M

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