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  4. In the following reaction, P gives two products Q and R each in 40 % yield. <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/chemistry/8543f76421fdf1e330a61c56826b8434-.png /> If the reaction is carried out with 420 mg of P the reaction yields 108.8 mg of Q. The amount of R produced in the reaction is closest to

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Q. In the following reaction, $P$ gives two products $Q$ and $R$ each in $40\%$ yield.
image
If the reaction is carried out with $420 \,mg$ of $P$ the reaction yields $108.8\,mg$ of $Q$. The amount of $R$ produced in the reaction is closest to

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Solution:

image
Number of moles of P $=\frac{420\times10^{-3}}{210} $
$=2\times10^{-3}$
Number of moles of $Q$ and $R = 40 \%$ of
$P=\frac{40}{100}\times2\times10^{-3} $
$=8\times10^{-4}$
mass of
image
$=8\times10^{-4}\times10^{6}=84.8\times10^{-3}$
$=84.8\,mg$
image
$=8\times10^{-4}\times136$
$=108.8\times10^{-3}$
$=108.8\,mg$
which is $Q$
$\therefore $ Mass of $R=84.8\, mg$