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Problems · Problem 3.8

Q.The pH of monoacidic weak base is 11.2. Calculate its percent dissociation in 0.02 M solution.

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pOH =2.8= 2.8 gives [OH−]=1.585×10−3[\mathrm{OH^-}] = 1.585\times10^{-3} M; dividing by c=0.02c = 0.02 M gives α=0.07925\alpha = 0.07925, i.e. 7.925%7.925\%.

Step 1. From pH + pOH = 14 (Eq. 3.18): pOH=14−11.2=2.8\text{pOH} = 14 - 11.2 = 2.8.

Step 2. log⁡10[OH−]=−2.8\log_{10}[\mathrm{OH^-}] = -2.8. Rewrite with a positive mantissa: −2.8=−3+0.2=3ˉ.2-2.8 = -3 + 0.2 = \bar{3}.2 (the bar negates only the characteristic: 3ˉ.2\bar{3}.2 means −3+0.2=−2.8-3 + 0.2 = -2.8, not +3.2+3.2).

Step 3. [OH−]=antilog(3ˉ.2)=100.2×10−3=1.585×10−3[\mathrm{OH^-}] = \text{antilog}(\bar{3}.2) = 10^{0.2}\times10^{-3} = 1.585\times10^{-3} mol/dm3^3. …

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