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Calculate each of the following quantities: (a) Grams of solute needed to make 475 mL of 5.62×10-2 M potassium sulfate (b) Molarity of a solution that contains 7.25 mg of calcium chloride in each milliliter (c) Number of Mg2+ ions in each milliliter of 0.184 M magnesium bromide.

Short Answer

Expert verified

(a) 4.65 g K2SO4 was needed to make the solution of 475 mL of 5.62×10-2 M potassium sulfate

(b) Molarity is found as6.53×10-2 M CaCl2

(c) The number of magnesium ions in each ml of 0.184 M Magnesium bromide is 1.11×1020 Mg2+ions.

Step by step solution

01

a. Step 1: Finding the amount need to make 475 mL of 5.62×10-2 M potassium sulfate 

The solution volume and molar mass of potassium sulfate can be multiplied as,

Mass of K2SO4=475×10-3L soln×5.62×10-2mol K2SO4L soln×174.26 g K2SO41 mol K2SO4Mass of K2SO4=4.65 g

02

b. Step 2: Finding molarity

On multiplying the given calcium carbonate mass by molar mass reciprocal to find mole number present in solution.

Moles of CaCl2=7.25×10-3 g CaCl2×1 mol CaCl2110.98 g CaCl2=6.53×10-5mol CaCl2Molarity=6.53×10-5mol CaCl21×10-3LsolnMolarity=6.53×10-2M

03

c. Step 3: Finding the number of magnesium ions

The given volume of solution can be multiplied by molarity, the ratio between ions, and the Avogadro number to find the number of magnesium ions.

Mg2+ions=1×10-3L soln×0.184 mol MgBr21 mol MgBr2×1 mol Mg2+ions1 mol MgBr2×6.022×1023 Mg2+ions1 mol Mg2+ionsMg2+ions=1.11×1020Mg2+ions

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