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 given data, we can follow a systematic approach. The key here is to use the mass of silver chloride (AgCl) produced in the reaction with hydrochloride of the base to determine the number of moles of the base, and then calculate its molar mass. Let's break this down step by step.

Understanding the Reaction

When a monoacidic organic base reacts with hydrochloric acid (HCl), it forms a hydrochloride salt. In this case, the hydrochloride of the base reacts with silver nitrate (AgNO3) to form silver chloride (AgCl) as a precipitate. The reaction can be summarized as follows:

• Base + HCl → Base·HCl
• Base·HCl + AgNO3 → AgCl + Base·NO3

Calculating Moles of Silver Chloride

First, we need to determine how many moles of AgCl were produced. The molar mass of AgCl is calculated as follows:

• Ag: 107.87 g/mol
• Cl: 35.45 g/mol
• Molar mass of AgCl = 107.87 + 35.45 = 143.32 g/mol

Now, we can find the number of moles of AgCl formed using the mass provided:

Number of moles of AgCl = mass of AgCl / molar mass of AgCl

Substituting the values:

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

Relating Moles of AgCl to Moles of the Base

Since the reaction between the hydrochloride of the base and AgNO3 produces one mole of AgCl for every mole of the base hydrochloride, we can conclude that:

Number of moles of the base hydrochloride = Number of moles of AgCl

Thus, the moles of the base hydrochloride is also approximately 0.00209 moles.

Finding the Molar Mass of the Base

Now, we can calculate the molar mass of the monoacidic organic base. We know the mass of the hydrochloride salt (0.334 g) and the number of moles (0.00209 moles). The molar mass (M) can be calculated using the formula:

Molar mass = mass / moles

Substituting the values:

Molar mass = 0.334 g / 0.00209 moles ≈ 159.76 g/mol

Final Result

Therefore, the molar mass of the monoacidic organic base is approximately 159.76 g/mol. This value provides insight into the molecular structure and weight of the organic base, which can be useful for further chemical analysis or applications.