What molar concentration of NH3 provides a [OH-] of 1.5 x 10-3 ?(Kb = 1.8 x 10-5)

NH3+H2O⇌NH4++OH−OH−=cα=cKbc=Kbc=1.8×10−5×C=5×10−3∴ c= 0.125 M

What molar concentration of NH3 provides a [OH-] of 1.5 x 10-3 ?(Kb = 1.8 x 10-5)

NH3+H2O⇌NH4++OH−OH−=cα=cKbc=Kbc=1.8×10−5×C=5×10−3∴ c= 0.125 M

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What molar concentration of NH₃ provides a [OH^-] of 1.5 x 10^-3 ?(K_b = 1.8 x 10^-5)

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0 .125 M

(0 .125+1.5 x 10^-3)M

(0 .125- 1.5 x 10^-3)M

(0.5 x 10^-3)M

answer is A.

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Detailed Solution

${NH}_{3} + H_{2} O ⇌ {NH}_{4}^{+} + {OH}^{-}$
$[{OH}^{-}] = cα = c \sqrt{\frac{K_{b}}{c}} = \sqrt{K_{b} c}$
$= \sqrt{1 .8 \times 10^{- 5} \times C} = 5 \times 10^{- 3}$
$∴$ c= 0.125 M

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What molar concentration of NH3 provides a [OH-] of 1.5 x 10-3 ?(Kb = 1.8 x 10-5)

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What molar concentration of NH₃ provides a [OH^-] of 1.5 x 10^-3 ?(K_b = 1.8 x 10^-5)