Oxidation of alcohols by strong oxidants in acid medium

Exercise 4

    

We have $130\; g $ of a diol that is to be oxidized by an $2\;M $ acidulated potassium permanganate solution to form the 2,2-dimethylcyclopentane-1,3-dione 1) Write the redox equation using molecular formulas 2) What volume of the permanganate solution is needed at least to successfully realise the complete oxidation? 3) How much do you get ketone with a yield of $80 \; \% $?

1) $C_7H_{14}O_2$ $-$ $4e^-$ $\rightarrow$ $C_7H_{10}O_2$ $+$ $4H^+$ $MnO_4^-$ $+$ $8H^+$ $+$ $5e^-$ $\rightarrow$ $Mn^{2+}$ $+$ $4H_2O$ $5C_7H_{14}O_2$ $+$ $4MnO_4^-$ $+$ $12H^+$ $\rightarrow$ $4Mn^{2+}$ $+$ $5C_7H_{10}O_2$ $+$ $16H_2O$ 2) (Abbreviations: permanganate: p; ketone: c; necessary: n; real r; theoretical: t) $n_{diol}$ $=$ $\frac{130}{130}$ $=$ $1.00$ $n_{p\;n}$ $=$ $\frac{4\cdot 1.00}{5}$ $=$ $0.800$ $V_{p\;n}$ $=$ $\frac{0.800}{2}$ $=$ $0.400\; L$ 3) $n_{c\; t}$ $=$ $1.00$ $n_{c\; r}$ $=$ $1.00\cdot 0.80$ $=$ $0.80$