you need the following data for this excersise :
Li = 7; S = 32; O = 16
The compound is Li2SO4
M (Li2SO4) = 7.2 + 32.1 + 16.4
M = 110 g which means there is 1 mol of Li2SO4 in 110 g of Lithium sulfate. You can use cross multiplication to solve this:
1 mol Li2SO4 ---------------110 g
X -------------------------------73.2 g
X = (1 x 73.2) / 110
X = 0.66 mol of Li2SO4
a) The number of lithium ions is 1.32 mol or 7.94 x 1023 since there are 2 mol of Li+ ions for every mol of Lithium sulfate (multiply 0.66 by 2)
b) The number of sulfate ions is 0.66 mol or 3.97 x 1023, since for every mol of Li2SO4 there is also a mol of sulfate ion (SO42-)
c) Same answer as (b), the number of S atoms equals the number of sulfate ions
d) Simply multiply 4 by 0.66 ------ 2.64 mol or 1.59 x 1024
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