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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Chemistry
Chapter
Redox Reactions

NTA Abhyas 2020 · Chemistry · Redox Reactions

An equal volume of a reducing agent is titrated separately with 1 M...

An equal volume of a reducing agent is titrated separately with 1 M KMnO4 in acid, neutral and alkaline medium. The volumes of KMnO4 required are 20 mL in acid, 33.3 mL in neutral and 100 mL in alkaline media. Find out the volume (mL) of 1M K2Cr2O7 consumed, if the same volume of the reducing agent is titrated in acid medium.
Report your answer by rounding it up to nearest whole number.

Correct answer

17

Step-by-step solution

Let equal volumes of R.A in each case be X Meqs

\begin{cases}{\text{MnO}_{4}^{-} + 8 {\text{H}}^{+} + 5 {\text{e}}^{-} & \to & {\text{Mn}}^{2 +} + 4 {\text{H}_{2} \text{O} & \left(\text{Acid}\right) & \left(\text{Z = 5}\right) \\ {\text{MnO}_{4}^{-} + 2 {\text{H}_{2} \text{O} + 3 {\text{e}}^{-} & \to & {\text{MnO}_{2} + 4 {\text{OH}}^{-} & \left(\text{Neutral}\right) & \left(\text{Z = 3}\right) \\ {\text{MnO}_{4}^{-} + {\text{e}}^{-} & \to & {\text{MnO}_{4}^{2 -} & \text{Alkaline} & \left(\text{Z = 1}\right)\end{cases}

\left(X millieqs. ofR.A\begin{array}{ll}\text{X milli}\text{}\text{eqs}\text{. of} \\ \text{R}\text{.A}\end{array}\right)\text{=}\left(20 \times1\times5\begin{array}{ll}\text{20 \times 1} \\ \text{\times 5}\end{array}\right)\text{=}\left(33.3 \times1\times3\begin{array}{ll}\text{33}\text{.3 \times 1} \\ \text{\times 3}\end{array}\right)\text{=}\left(100 \times1\times1\begin{array}{ll}\text{100 \times 1} \\ \text{\times 1}\end{array}\right)\text{=100 milli}\text{eqs}<br/><br/>100millieqs.ofR.A=100millieqs.ofK<sub>2</sub>Cr<sub>2</sub>O<sub>7</sub><br/><br/><br /><br />100 milli eqs. of R.A = 100 milli eqs. of K<sub>2</sub> Cr<sub>2</sub>O<sub>7</sub><br /><br />{\text{Cr}_{2} {\text{O}_{7}^{2 -} + 1 4 {\text{H}}^{+} + 6 {\text{e}}^{-} \to 2 {\text{Cr}}^{3 +} + 7 {\text{H}_{2} \text{O}<br/><br/>100millieqs.of<br /><br />100 milli eqs. of{\text{Cr}_{2} {\text{O}_{7}^{2 -} = 6 \times 1 \times \text{Volume mL,}$

Vol = 16.7 mL
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