Let the mass of "KClO_3" be x gram
Reaction of decomposition is given by:
"2KClO_3\\to 2KCl+ 3O_2"
2 moles of Potassium trioxochlorate produces 2 moles of Potassium chloride
So,
"\\frac{x}{122.5}" Moles will produce same amount of KCl
"\\\\""\\frac{x}{122.5}\\ mole \\ KCl=\\frac{x}{122.5}\\times 74.5\\ g\\ KCl"
Now final mass =initial mass of KCl +mass of KCl produced due to decomposition = "28.9\\ g"
So,
"39.8-x\\ +\\frac{74.5x}{122.5}=28.9"
"0.391836x=10.9\\\\x=27.8177\\ g"
Initial masso f Potassium chloride = "38.9-x=11.0823 \\ g\\ KCl"
Percentage composition of KCl = "\\frac{11.0823}{39.8}\\times100=27.844\\%"
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