A 1.0g sample of pyrolusite ore containing MnO2 (MW=87) was dissolved in a concentrated HCl solution and liberated Cl2(g) was passed through a concentrated KI solution releasing I2 . If the liberated iodine required 16ml of 1.25M sodium thiosulphate (Na2S2O3 ) solution,(Na2S2O3 changes to Na2S4O6), mass percentage of MnO2 in the given sample is

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A 1.0g sample of pyrolusite ore containing $M n O_{2}$ (MW=87) was dissolved in a concentrated HCl solution and liberated $C l_{2} (g)$ was passed through a concentrated KI solution releasing $I_{2}$ . If the liberated iodine required 16ml of 1.25M sodium thiosulphate ( $N a_{2} S_{2} O_{3}$ ) solution,(Na₂S₂O₃ changes to Na₂S₄O₆), mass percentage of $M n O_{2}$ in the given sample is

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87%

21.75%

43.5%

0.875%

answer is B.

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Detailed Solution

${MnO}_{2} + 4 HCl \to {MnCl}_{2} + {Cl}_{2} + 2 H_{2} O {Cl}_{2} + 2 KI \to 2 KCl + I_{2} I_{2} + 2 {Na}_{2} S_{2} O_{3} \to {Na}_{2} S_{4} O_{6} + 2 NaI Number of moles of Iodine reacted = \frac{1}{2} (number of moles of Hypo reacted)$