Consider the reaction sequence from $P$ to $Q$ shown below. The overall yield of the major product $Q$ from $P$ is $75 \%$. What is the amount in grams of $Q$ obtained from $9.3 mL$ of $P$ ? (Use density of $P =1.00 g mL ^{-1}$, Molar mass of $C =12.0, H =1.0, O =16.0$ and $N =14.0 g mol ^{-1}$ )
A$18.60$
B$18.70$
C$18.80$
D$18.90$
IIT 2020, Medium
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A$18.60$
a (image)
Molecular weight of
aniline $=M.wt.$ of $C _6 NH _7$
$=72+7+14=93$
$\text { density of } P=1 gm ml ^{-1}$
$9.3 ml \text { of } P=9.3 gm P$
$=\frac{9.3}{9.3}=0.1 mole P$
The mole ratio $PhNH _2: PhN _2{ }^{+}$:
(image)
$=1: 1: 1$
$\text { so the mole of } Q \text { formed will be } 0.1 \text { mole and extent of reaction is } 100 \% $$\text { but if it is } 75 \% \text { yield. }$
$\text { Then amount of } Q =0.1 \times \frac{75}{100}=0.075 mol$
$\text { The molecular formula of } Q = C _{16} H _{12} ON _2$
$\text { so M.wt. of } Q=16 \times 12+12 \times 1+16+2 \times 14$
$=192+12+16+28$
$=248 gm$
$\text { so amount of } Q =248 \times 0.075$
$=18.6 gm$
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