Correct option is (b) 50
\(MnO_2+4HCl\longrightarrow MnCl_2+Cl_2+2H_2O\)
Chlorine gas is passed through KI
\(Cl_2+2KI\longrightarrow 2KCl+I_2\)
Given \(I_2\) liberated \(=6.35g\)
Number of moles of \(I_2\) liberated \(=\frac{6.35}{254}=0.025\) mol.
from above equation
1 mole \(MnO_2\) liberated = 1 mol \(Cl_2\)
and one mole \(Cl_2\) liberated = 1 mol \(I_2\)
it means, 0.025 mole \(I_2\) liberated by 0.025 mole of \(MnO_2\)
\(\therefore\) mass of \(MnO_2 = 0.025\times87=2.175g.\)
\(\therefore\) % purity \(=\frac{2.175}{4.35}\times100=50\)%.