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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