Fluorocarbon polymers can be made by fluorinating polyethylene according to the reaction $2 {CoF}_{2} + F_{2} ⟶ 2 {CoF}_{3}$
${({CH}_{2})}_{n} + 4 n {CoF}_{3} ⟶ {({CF}_{2})}_{n} + 2 n HF + 4 n {CoF}_{2}$
The ${CoF}_{3}$ can be regenerated by the reaction
$2 {CoF}_{2} + F_{2} ⟶ 2 {CoF}_{3}$
Calculate kg of fluorine consumed per $k g$ of fluorocarbon produced ${({CF}_{2})}_{n}$ .
[Write the answer excluding the decimal places]

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Detailed Solution

$\begin{array}{rc} 2 {CoF}_{2} + F_{2} & \to 2 {CoF}_{3} \\ - & 2 a \end{array}$

$\begin{matrix} {({CH}_{2})}_{n} + 4 n {CoF}_{3} \to {({CF}_{2})}_{n} + 2 n HF + 4 n {CoF}_{2} \\ \frac{2 a}{4 n} \end{matrix}$

$\frac{2 a}{4 n} \times 50 n = 1$

$a = \frac{1}{25}$

$\frac{1}{25} \times 38 = 1.52 kg$

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