Answer -
Given,
Mass of the mixture of KF and LiF = 5.29 g
Mass of Fluorine in Mixture = 3.47 g
Mass of KF in Mixture = ?
Let us assume that mass of KF = x grams
So, Mass of LiF in mixture = 5.29 g - x grams
Now, atomic mass of -
F = 19 u
Li = 7 u
K = 39 u
KF = 58 g /mol
LiF = 26 g/mol
Also,
Moles = Mass / Molar Mass
So, Moles of KF in mixture = (x /58) mol
Moles of LiF in mixture = [(5.29 - x)/26] mol
We know that,
1 mole of KF contains 1 mole of F and also, 1 mole of LiF contains 1 mole of F.
Moles of F in KF = (x /58) mol
Moles of F in LiF = [(5.29 - x)/26] mol
Total moles of Fluorine = (x /58) mol + [(5.29 - x)/26] mol
Also,
Mass = Moles * molar Mass
mass of Fluorine in mixture = {(x /58) mol + [(5.29 - x)/26] mol } * 19 u
Put the value of Mass of F (given) and solve,
3.47 g = {(x /58) mol + [(5.29 - x)/26] mol } * 19 u
x = 0.98 g
So. mass of KF in mixture = 0.98 g [Answer]
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