An aqueous solution of succinic acid at 15 degree centigrade containing 0.07 gram in 10 cm3 is in equilibrium with an ethereal solution containing 0.013 gram in 10cm3 succinic acid has its normal molecular weight in both the solvents.What will be the concentration of an ethereal solution which is in equilibrium with an aqueous solution containing 0.24 gram in 10cm3.

To tackle this problem, we need to understand the concept of equilibrium between two phases—an aqueous solution and an ethereal solution—when dealing with a solute like succinic acid. The key here is to use the information provided to find the concentration of succinic acid in the ethereal solution that is in equilibrium with a given concentration in the aqueous solution.

Understanding the Basics of Equilibrium

When two solutions are in equilibrium, the concentration of the solute in both phases is related. This relationship can be expressed using the partition coefficient (K), which is defined as the ratio of the concentration of the solute in the ethereal phase to that in the aqueous phase.

Calculating the Partition Coefficient

First, we need to calculate the partition coefficient (K) using the initial concentrations provided:

• In the aqueous solution: 0.07 grams of succinic acid in 10 cm³.
• In the ethereal solution: 0.013 grams of succinic acid in 10 cm³.

To find the concentrations:

• Concentration in aqueous solution (C_aq):

C_aq = 0.07 g / 10 cm³ = 0.007 g/cm³

• Concentration in ethereal solution (C_eth):

C_eth = 0.013 g / 10 cm³ = 0.0013 g/cm³

Now, we can calculate the partition coefficient (K):

K = C_eth / C_aq = 0.0013 g/cm³ / 0.007 g/cm³ = 0.1857

Finding the New Concentration in the Ethereal Solution

Next, we need to find the concentration of the ethereal solution when the aqueous solution contains 0.24 grams of succinic acid in 10 cm³.

• New concentration in aqueous solution (C_aq):

C_aq = 0.24 g / 10 cm³ = 0.024 g/cm³

Using the partition coefficient we calculated earlier, we can find the new concentration in the ethereal solution (C_eth):

C_eth = K × C_aq = 0.1857 × 0.024 g/cm³ = 0.004457 g/cm³

Final Concentration in the Ethereal Solution

To express this concentration in grams per 10 cm³:

Since we have C_eth = 0.004457 g/cm³, in 10 cm³:

Concentration in ethereal solution = 0.004457 g/cm³ × 10 cm³ = 0.04457 g

Thus, the concentration of the ethereal solution that is in equilibrium with the aqueous solution containing 0.24 grams of succinic acid in 10 cm³ is approximately 0.04457 grams in 10 cm³.