`x` gram of pure `As_(2)S_(3)` is completely oxididsed to respective highest oxidation states by 50 ml of 0.1 M hot acidified `KMnO_(4)`, then mass of `As_(2)S_(3)` taken is :

Options

A. 22.4 g
B. 43.92 g
C. 64.23 g
D. None of these

Answer

D

Explanation

`5As_(2)S_(3)+28KMnO_(4)+H^(+)rarr10H_(3)AsO_(4)+28Mn^(2+)+SO_(4)^(2-)`
m.moles of `KMnO_(4)=50xx0.1=5`
28 m.moles of `KMnO_(4)rarr5` m.moles of `As_(2)S_(3)`
`:. ` 1 m.mole of `KMnO_(4)rarr` 5/28 m.moles of `As_(2)S_(3)`
`:. ` 5 m.mole of `KMnO_(4)rarr(5xx5)/(28)` m.moles of `As_(2)S_(3)`
Mass of `As_(2)S_(3)=x=246xx(5xx5)/(28)xx10^(-3)=0.2.2g`