Calculate the molarity of a calcium chloride solution if 33.8 mL of it are needed to react with 41.2 mL of 0.877 M AgNO3. Report your answer in standard notation with three significant figures, and do not include units in your answer.

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Answer:

0.465 M IS THE MOLARITY OF CALCIUM CHLORIDE SOLUTION.

Explanation:

Volume of CaCl2 = 33.8 mL = 33.8 / 1000 L = 0.0338 L

Volume of AgNO3 = 41.2 mL = 0.0412 L

Molarity of AgNO3 = 0.877 M

First is to write and balance out the equation for the reaction

2AgNO3 + CaCl2 ---------> 2AgCl + Ca(NO3)2

From the reaction, we could see that 2 moles of AgNO3 combines with 1 mole of CaCl2 to produce 12 moles of AgCl and 1 mole of Ca(NO3)2.

In volmetric analysis, the relationship between molarity and volume of acids and bases is shown in the equation below:

MaVa / Mb Vb = Na / Nb

Ma = molarity of acid = 0.877 M

Va = volume of acid = 0.0412 L

Mb = molarity of base = unknown

Vb = volume of base = 0.0338 L

Na = number of moles of acid = 2

Nb = number of mole of base = 1

Rearranging the formulae, making Mb the subject of the equation, we get:

Mb = Ma Va Nb / Vb Na

Mb = 0.877 * 0.0412 * 1 / 0.0338 * 2

Mb = 0.0361 / 0.0776

Mb = 0.465 M

So therefore, the molarity of calcium chloride solution if the variables given were used is 0.465 M.

The molarity of calcium chloride solution if 33.8 mL of it are needed to react with 41.2 mL of 0.877 M AgNO3 is 1.07M

HOW TO CALCULATE MOLARITY:

The molarity of calcium chloride solution can be calculated by using the following formula:

C1V1 = C2V2

Where;

C1 = concentration of calcium chloride

V1 = volume of calcium chloride

C2 = concentration of silver nitrate

V2 = volume of silver nitrate

According to this question, 33.8 mL of CaCl2 are needed to react with 41.2 mL of 0.877 M AgNO3.

33.8 × C1 = 0.877 × 41.2

33.8C1 = 36.13

C1 = 36.13 ÷ 33.8

C1 = 1.07M

Therefore, the molarity of calcium chloride solution if 33.8 mL of it are needed to react with 41.2 mL of 0.877 M AgNO3 is 1.07M.

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