Question

$5$ moles of A, $6$ moles of Z are mixed with sufficient amount of $C$ to produce final product $F$. Then find the maximum moles of $F$ which can be produced. Assuming that the product formed can also be reused. Reactions are:

$A+2Z\to B$

$B+C\to Z+F$

• A. $3$ moles
• B. $4.5$ moles
• C. $5$ moles
• D. $6$ moles

Answer 1

The correct option is C $5$ moles

$A+2Z⟶B$

$B+C⟶F+Z$

$3$ $moles$ of $A+6$ $moles$ of $Z⟶3$ $moles$ of $B$

$3$ $moles$ of $B+3$ $moles$ of $C⟶3$ $moles$ of $F+3$ $moles$ of $Z$

Now, Dividing equation by $2$;

$1.5$ $moles$ of $A+3$ $moles$ of $Z⟶1.5$ $moles$ of $B$

$1.5$ $moles$ of $B+1.5$ $moles$ of $C⟶1.5$ $moles$ of $F+1.5$ $moles$ of $Z$

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

Dividing previous $2$ equation by $3$

$0.5$ $moles$ of $A+1$ $moles$ of $Z⟶0.5$ $moles$ of $B$

$0.5$ $moles$ of $B+0.5$ $moles$ of $C⟶0.5$ $moles$ of $Z+0.5$ $moles$ of $F$

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

$\therefore$ Total amount of $F=3+0.5+1.5=5.0$ $moles$