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Question

Chemistry Question on Equilibrium

BOHBOH is a weak base. Molar concentration of, BOH that provides a [OH] [OH^{-}] of 1.5×103M1.5\times 10^{-3}M is [Kb(BOH)=1.5×105][Kb(BOH)=1.5\times 10^{-5}]

A

1.5×105M1.5\times 10^{-5}M

B

0.015 M

C

0.0015 M

D

0.15 M

Answer

0.15 M

Explanation

Solution

BOHB++OHBOH \rightleftharpoons B ^{+}+ OH ^{-} Kb=[B+][OH][BOH]K_{b} =\frac{\left[B^{+}\right]\left[ OH ^{-}\right]}{[ BOH ]} [B+]=[OH]\left[ B ^{+}\right] =\left[ OH ^{-}\right] Kb=[OH]2[BOH]K_{b} =\frac{\left[ OH ^{-}\right]^{2}}{[ BOH ]} [BOH]=[OH]2Kb\because [ BOH ] =\frac{\left[ OH ^{-}\right]^{2}}{K_{b}} =(1.5×103)21.5×105=\frac{\left(1.5 \times 10^{-3}\right)^{2}}{1.5 \times 10^{-5}} =1.5×101M=1.5 \times 10^{-1} M =0.15M=0.15\, M