Solved: How many moles and numbers of ions of each type

Chapter 4, Problem 14P

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QUESTION: Problem 14P

How many moles and numbers of ions of each type are present in the following aqueous solutions?

(a) 130. mLof 0.45M aluminum chloride

(b) 9.80 mLof a solution containing 2.59 g lithium sulfate/L

(c) 245 mL of a solution containing 3.68 × 1022 formula units of potassium bromide per liter

Questions & Answers

QUESTION: Problem 14P

How many moles and numbers of ions of each type are present in the following aqueous solutions?

(a) 130. mLof 0.45M aluminum chloride

(b) 9.80 mLof a solution containing 2.59 g lithium sulfate/L

(c) 245 mL of a solution containing 3.68 × 1022 formula units of potassium bromide per liter

ANSWER:

Solution 14P

Here we have to calculate how many moles and numbers of ions of each type are present in the following aqueous solutions.

Step 1

(a) 130. mL of 0.45M aluminum chloride

1st we have to write the chemical reaction for the dissociation of AlCl3 (aluminum chloride)

AlCl3 (s) → Al3+(aq) + 3 Cl-(aq)

In the above reaction it has been found that 1 mol of Al3+ and 3 mole of Cl- is dissolved per mole of AlCl3.

In this question it has been given that molarity of AlCl3 is 0.45 M and volume is 130 mL.

Mole of Al 3+ formed from AlCl3 :-

130 mL of

= 0.059 mol of Al3+

Mole of Cl - formed from AlCl3 :-

130 mL of

= 0.176 mol of Cl-

Number of Al3+  and Cl - ions:-

Number of ions can be obtained by multiplying mole with Avogadro’s number, thus

Number of Al3+ ion =   0.059 mol of Al3+ = 0.3551023 Al3+ ions

Number of Cl- ion =   0.176 mol of Cl- = 1.061023 Cl- ions

Thus the mole of Al3+ and Cl- ion is found to be 0.059 mole and 0.176 mole & number of ions is found to be 0.3551023 Al3+ ions and 1.061023 Cl- ions.

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