clculate molar mas of mono acid organic base gven that 0.334g of hydrochloride of base gave 0.300g of AgCl with excess of AgNO₃ solution..

To find the molar mass of the monoacidic organic base from the information given, we can follow a systematic approach. The key here is to understand the relationship between the amount of silver chloride (AgCl) formed and the amount of the organic base that reacted with hydrochloric acid (HCl).

Step-by-Step Calculation

1. Determine Moles of AgCl

First, we need to calculate the number of moles of silver chloride produced. The molar mass of AgCl can be calculated as follows:

• Silver (Ag) = 107.87 g/mol
• Chlorine (Cl) = 35.45 g/mol
• Molar mass of AgCl = 107.87 + 35.45 = 143.32 g/mol

Now, using the mass of AgCl produced (0.300 g), we can find the number of moles:

Number of moles of AgCl = mass / molar mass

Number of moles of AgCl = 0.300 g / 143.32 g/mol ≈ 0.00209 moles

2. Relate Moles of AgCl to Moles of the Organic Base

Since the organic base is monoacidic, it reacts with HCl in a 1:1 ratio to form AgCl. Therefore, the moles of the organic base that reacted will also be approximately 0.00209 moles.

3. Calculate Molar Mass of the Organic Base

Next, we need to find the molar mass of the organic base. We know the mass of the hydrochloride of the base is 0.334 g. The molar mass can be calculated using the formula:

Molar mass = mass / moles

Molar mass of the organic base = 0.334 g / 0.00209 moles ≈ 159.76 g/mol

Final Result

Thus, the molar mass of the monoacidic organic base is approximately 159.76 g/mol.

Understanding the Reaction

This calculation illustrates how stoichiometry plays a crucial role in determining the molar mass of compounds. By measuring the amount of a product formed (in this case, AgCl), we can backtrack to find the properties of the reactants involved. This method is widely used in analytical chemistry to deduce the characteristics of unknown substances.