Two separate solutions of weak monoprotic acids, () and (), are found to be perfectly isohydric. If the concentration of is exactly , calculate the exact required molar concentration () of .

Question

Two separate solutions of weak monoprotic acids, $HA_1$ ($K_{a1} = 10^{-4}$) and $HA_2$ ($K_{a2} = 10^{-5}$), are found to be perfectly isohydric. If the concentration of $HA_1$ is exactly $0.1 	ext{ M}$, calculate the exact required molar concentration ($C_2$) of $HA_2$.

Prashant Kotian · Accepted Answer

Correct answer: 1. Isohydric solutions are solutions of electrolytes that have the exact same concentration of a common ion (in this case, ). For weak acids, . Equating the two yields , which squares to the identity . Substituting the provided values gives .

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