When solving this task, you need to understand what kind of sediment we got. Most likely it was either calcium carbonate СaCO3 or barium carbonate BaCO3. We will calculate for both probable precipitation.
If precipitate is calcium carbonate СaCO3:
"n(CaCO_3) = m\/M = 1.37g:100g\/mol = 0.0137mol""n(salt) = 0.0137mol"
"M(salt) = m\/n = 1.00g\/0.0137mol = 72.99g\/mol"
"A_r(Me) = 6.5g\/mol \\approx 7g\/mol"
"Me = Li"
"M(salt) = 1.00g\/0.007mol = 143g\/mol"
"A_r(Me) = 41.5g\/mol \\approx 39 g\/mol"
"Me = K"
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