5 ,mole of A, 6 , moles of B and excess amount of C are mixed to produce a final product D, according to the reaction A + 2B I I + C B + D What is the maximum moles of D can be produced assuming that the products formed can also be reused in the reactions ? .............. moles

5 ,mole of A, 6 , moles of B and excess amount of C are mixed to …

MCQ

$5\,mole$ of $A$, $6\, moles$ of $B$ and excess amount of $C$ are mixed to produce a final product $D$, according to the reaction
$A + 2B \to I$
$I + C \to B + D$
What is the maximum moles of $D$ can be produced assuming that the products formed can also be reused in the reactions ? .............. $\mathrm{moles}$

A
$3$
B
$4.5$
✓
$5$
D
$6$

✓

Answer

Correct option: C.

$5$

c
$A+2 B \longrightarrow I$

$I+C \longrightarrow D+B$

$3$ moles of $A+6$ moles of $B \longrightarrow 3$ moles of $I$

$3$ moles of $I+3$ moles of $C \longrightarrow 3$ moles of $D+3$ moles of $B$ Now, Dividing equation by $2$

$1.5$ moles of $A+3$ moles of $B \longrightarrow 1.5$ moles of $I$

$1.5$ moles of $I+1.5$ moles of $C \longrightarrow 1.5$ moles of $D+1.5$ moles of $B$

Now, $1.5$ moles of $B$ are reused.

Dividing previous $2$ equation by $3$

$0.5$ moles of $A+1$ moles of $B \longrightarrow 0.5$ moles of $I$

$0.5$ moles of $I+0.5$ moles of $C \longrightarrow 0.5$ moles of $B+0.5$ moles of $D$

Now, all of $A$ is consumed hence no reaction, will take place.

Total amount of $D=3+0.5+1.5=5.0$ moles

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