A geochemist in the field takes a small sample of the crystals of mineral compound X from a rock pool lined with more crystals o
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Answer:
220.44g Ba²⁺ ions in solution
Explanation:
Given parameters:
Mass of barium nitrate = 61.2g
Volume of solution = 1 liter
Unkown:
Mass of barium in 7.5quarts of solution?
Solution
We must first convert quarts to its liter equivalence:
1 quarts = 0.95 liter
7.5 quarts = 0.95 x 7.5; 7.125liter
Now, let us find the mass of barium nitrate in a solution of 7.125liter:
Given:
1 liter of solution contains 61.2g of barium nitrate:
7.125 liter will contain 7.125 x 61.2 = 436.05g of barium nitrate.
The formula of the compound is Ba(NO₃)₂:
In solution we have Ba²⁺ + NO₃⁻
Ba(NO₃)₂ → Ba²⁺ + 2NO₃⁻
Number of moles of Ba(NO₃)₂ =
Molar mass of Ba(NO₃)₂ = 137 + 2[14 + 3(16)] = 271g/mol
Number of moles of Ba(NO₃)₂ = = 1.609mole
1 mole of Ba(NO₃)₂ will produce 1 mole of Ba²⁺ ions in solution
therefore, 1.609mole of Ba(NO₃)₂ will also yield 1.609mole of Ba²⁺ ions in solution
Mass of Ba²⁺ ions = Number of moles of Ba²⁺ ions x molar mass of Ba²⁺ ions
Mass of Ba²⁺ ions = 1.609 x 137 = 220.44g
The amount of energy released is calculated by the product of heat of fusion and mass.
The formula of amount energy released is given by:
(1)
Here,
q is amount of energy released
L is heat of fusion ()
m is mass of water
Put all the given values in equation (1)
≅
Thus, amount of energy released is