Three substances A, B and C can react to form E and D as shown 2A… - Vidyadip

MCQ

Three substances $A, B$ and $C$ can react to form $E$ and $D$ as shown $2A + 3B + C \rightarrow 4D + 2E$ If molar masses of $A,B,C$ and $D$ are $40, 30, 20$ and $15$ respectively and $570\ gm$ of mixture of $A, B$ & $C$ is reacted then maximum mass of $E$ which can be obtained will be ............ $\mathrm{gm}$

A
$570$
B
$400$
✓
$390$
D
$90$

✓

Answer

Correct option: C.

$390$

c
$\begin{gathered}
2{\text{A}} + 3{\text{B}} + {\text{C}} \to 4{\text{D}} + 2{\text{E}} \hfill \\
80\quad 90\quad 20\quad \,\,60\quad 2 \times M \hfill \\
\end{gathered} $

$2x$ $3x$ $x$

$80+90+20=60+2 \times M$

Mixture $\longrightarrow 570\, \mathrm{gm}$

$2 x \times 40+3 x \times 30+x \times 20=570$

$x=3$

Mole of $\mathrm{E}$ produce $=2 \mathrm{x}$ $=6$ mole

Weight of $E$ produce $=390$

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