when 400g of a 20% sol. by weight was cooled ,50g of solute percipited .the percentage concentration of remaining solution

initially, 80 grams was in solution, at the end, 30 grams remained in a solutioin of 350grams.

percent=30/350 * 100

8.6 %

First 400 GM of solution is given in which 20% is tha molecular weight of solute and 80 % molecular weight of solvent .

Now 20% of 400 GM of solution is 80 GM .
Weight of solute precipitated is 50gm.
Now amount of solute left in solution is 80-50= 30 GM.
And amount of solution left is 400-50= 350gm.
Now new concentration is 30/350 *100% = 8.6%

8.57

To calculate the percentage concentration of the remaining solution, you first need to determine the amount of solute remaining after the precipitation.

Given:
- Initial solution weight: 400g
- Concentration of the initial solution: 20% by weight
- Weight of solute precipitated: 50g

Step 1: Calculate the original amount of solute in the solution.
The initial solution is 20% solute by weight, which means that 20% of 400g is solute.

Amount of solute in the initial solution = (20/100) * 400g
= 80g

Step 2: Calculate the amount of solute remaining after precipitation.
Since 50g of solute precipitated, subtract this amount from the initial amount of solute.

Amount of solute remaining = Initial amount of solute - Solute precipitated
= 80g - 50g
= 30g

Step 3: Calculate the weight of the remaining solution.
The weight of the remaining solution can be obtained by subtracting the precipitated solute from the initial solution weight.

Weight of remaining solution = Initial solution weight - Solute precipitated
= 400g - 50g
= 350g

Step 4: Calculate the percentage concentration of the remaining solution.
To find the percentage concentration, divide the amount of solute remaining by the weight of the remaining solution and multiply by 100.

Percentage concentration of the remaining solution = (Amount of solute remaining / Weight of remaining solution) * 100
= (30g / 350g) * 100
≈ 8.57%

Therefore, the percentage concentration of the remaining solution is approximately 8.57%.