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Limiting Reagent or Reactant

For the react...

Question

For the reaction,

$2 X + 3 Y + 4 Z \to 5 W$ .

Initially $1$ mole of X, $3$ mole of Y and $4$ mole of Z is taken, if $1.25$ mole of W is obtained then per yield of this reaction is :

A

50%

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B

55%

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C

60%

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D

80%

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Solution

The correct option is A 50%
As per the stoichiometry, $2$ moles of X should react with $3$ moles of Y and $4$ moles of Z.
However, only $1$ mole of X is present for $3$ moles of Y and $4$ moles of Z.
Hence, X is the limiting reagent.
$1$ mole of X will react with $1.5$ moles of Y and $2$ moles of Z to produce $2.5$ moles of W.
However, only $1.25$ moles of W are obtained.
Hence, the percentage yield is $\frac{1.25}{2.5} \times 100 = 50$ %.

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