The mass percentage of chloride ion in a 30.00 mL sample of seawater was determined by titrating the sample with silver nitrate, precipitating silver chloride. It took 42.00 mL of 0.2998 M silver nitrate solution to reach the equivalence point in the titration. What is the mass percentage of chloride ion in the seawater if its density is 1.025 g/mL

Respuesta :

Answer:

1.451 %

Explanation:

Step 1: Write the balanced equation for the precipitation reaction

AgNO₃(aq) + Cl⁻(aq) = AgCl(s) + NO₃⁻(aq)

Step 2: Calculate the reacting moles of AgNO₃

42.00 mL of 0.2998 M AgNO₃ reacted.

0.04200 L × 0.2998 mol/L = 0.01259 mol

Step 3: Calculate the moles of Cl⁻ that reacted with 0.01259 moles of AgNO₃

The molar ratio of AgNO₃ to Cl⁻ is 1:1. The moles of Cl⁻ that reacted are 1/1 × 0.01259 mol = 0.01259 mol.

Step 4: Calculate the mass corresponding to 0.01259 moles of Cl⁻

The molar mass of Cl⁻ is 35.45 g/mol.

0.01259 mol × 35.45 g/mol = 0.4463 g

Step 5: Calculate the mass of the sample of seawater

We have 30.00 mL of a sample of seawater with a density of 1.025 g/mL.

30.00 mL × 1.025 g/mL = 30.75 g

Step 6: Calculate the mass percentage of Cl⁻in the sample of seawater

We will use the following expression.

%Cl⁻ = mass Cl⁻/ mass seawater × 100%

%Cl⁻ = 0.4463 g/30.75 g × 100% = 1.451 %