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Stoichiometric Calculations

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Question

From the following reaction sequence, calculate the mass of polythene which can be produced by $10$ kg of $C a C_{2}$ .
$C a C_{2} + H_{2} O \to C a O + C_{2} H_{2}$
$C_{2} H_{2} \to C_{2} H_{4}$
$n C_{2} H_{4} \to {(C_{2} H_{4})}_{n}$ (as nearest integer)

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Solution

$C a C_{2} + H_{2} O \to C a O + C_{2} H_{2}$
$64$ g $26$ g
$C_{2} H_{2} \to C_{2} H_{4}$
$26$ g $28$ g
$n C_{2} H_{4} \to {(C_{2} H_{4})}_{n}$
$28 n$ g $28 n$ g
$64$ g of reactant $(C a C_{2})$ produces $28 n$ g.
$10$ kg will produce $= 28 \times \frac{10}{64} = 4.3$ kg
So, the nearest integer is $4$ .

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