Question

A metal sulphate contains $28$% metal. Find out the equivalent weight of $MS{O}_4$?

• A. $33.3$
• B. $66.6$
• C. $96.3$
• D. $55.5$

Answer 1

The correct option is B $66.6$

Given,

Metal sulphate contains $28$% metal.

i.e; it contains $72$% sulphate

$\Rightarrow$ in $100g$ Metal sulphate $MS{O}_4$

$28g$ metal $M$, & $72g$ $S{O}_4$ is present.

Now, Equivalent weight of $S{O}_4=\frac{MolecularweightofS{O}_4}{ValencyofS{O}_4}$

$=\frac{96}{2}$

$=48$.

Now for calculation of equivalent of Metal $M$

Let, equivalent weight of $M$ be $x$

$\Rightarrow 28$% reacts with $72$% $S{O}_4$

Equivalent Mass $48$ reacts with equivalent mass $x$

By gross multiplication, we get

$x=\frac{28}{72}\times 48$

$=18.66$

$\therefore$ Equivalent weight of $M=18.66$

Equivalent weight of $S{O}_4=48$

$\therefore$ Equivalent weight of $MS{O}_4=18.66+48$

$=66.66$.