if one third of 100g of 27% aqueous sugar solution is taken in a beaker and 10g of sugar is added to it , the concentration of the resulting solution will be?
To find the concentration of the resulting solution, we need to calculate the amount of sugar and the total volume of the solution after the addition.
Given:
Initial solution: 100g of 27% aqueous sugar solution
One third of the initial solution is taken: (1/3) * 100g = 33.33g
Next, we add 10g of sugar to the taken solution: 33.33g + 10g = 43.33g
Now, we need to calculate the total volume of the resulting solution.
Since the initial solution is aqueous (water-based), we can assume the density of the solution to be approximately equal to the density of water, which is 1g/mL.
Therefore, the volume of the resulting solution will be equal to its mass. Thus, the volume of the resulting solution is 43.33 mL.
Now, let's determine the concentration of the resulting solution in terms of a percentage.
The amount of sugar in the resulting solution is 43.33g, which is the same as the mass of the solution.
Therefore, the concentration of the resulting solution is calculated by dividing the mass of sugar by the total mass of the solution and then multiplying by 100.
Concentration = (mass of sugar / mass of solution) * 100
Concentration = (43.33g / 43.33g) * 100
Concentration = 100%
So, the concentration of the resulting solution after adding 10g of sugar to one third of the 100g of 27% aqueous sugar solution is 100%.
To find the concentration of the resulting solution, we need to calculate the total amount of sugar and the total volume of the solution.
Given:
- Initial solution: 100g of 27% aqueous sugar solution
- One third of the initial solution is taken: (1/3) * 100g = 33.33g
- Additional sugar added: 10g
Step 1: Calculate the total amount of sugar in the resulting solution.
- Initial sugar in the solution: 27% of 100g = 0.27 * 100g = 27g
- Sugar added: 10g
- Total sugar in the resulting solution: 27g + 10g = 37g
Step 2: Calculate the total volume of the resulting solution.
- The initial solution is 100g, which doesn't change.
- One third of the initial solution is taken: (1/3) * 100g = 33.33g
- Sugar added: 10g
- Total weight of the resulting solution: 100g + 33.33g + 10g = 143.33g
Therefore, the concentration of the resulting solution can be calculated as follows:
Concentration = (Total sugar / Total weight) * 100
Concentration = (37g / 143.33g) * 100
Concentration = 25.78%
So, the concentration of the resulting solution will be approximately 25.78%.