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A solution is prepared by dissolving 55 grams of sucrose in some amount of water. If the mass by mass concentration of the solution is 10%, calculate the mass of water taken.?
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A solution is prepared by dissolving 55 grams of sucrose in some amoun...
Given:
- Mass of sucrose = 55 grams
- Mass by mass concentration of the solution = 10%
To Find:
- Mass of water taken
Solution:
The mass by mass concentration of a solution is defined as the mass of solute divided by the total mass of the solution, multiplied by 100%. In this case, the solute is sucrose and the solvent is water.
The mass by mass concentration formula is given by:
Mass by mass concentration = (Mass of solute / Mass of solution) x 100%
Let's assume the mass of water taken is "x" grams.
Step 1: Calculate the mass of the solution
The mass of the solution is the sum of the mass of the solute (sucrose) and the mass of the solvent (water).
Mass of solution = Mass of sucrose + Mass of water
Mass of solution = 55 grams + x grams
Step 2: Calculate the mass by mass concentration
Given that the mass by mass concentration is 10%, we can rewrite it as 10/100 or 0.1.
0.1 = (Mass of sucrose / Mass of solution) x 100%
0.1 = (55 grams / (55 grams + x grams)) x 100%
Step 3: Solve for x (mass of water)
0.1 = (55 / (55 + x)) x 100%
0.1 = (55 / (55 + x)) x 100/1
0.1 = 55 / (55 + x)
0.1(55 + x) = 55
5.5 + 0.1x = 55
Step 4: Solve for x
0.1x = 55 - 5.5
0.1x = 49.5
x = 49.5 / 0.1
x = 495 grams
Therefore, the mass of water taken is 495 grams.
- Mass of sucrose = 55 grams
- Mass by mass concentration of the solution = 10%
To Find:
- Mass of water taken
Solution:
The mass by mass concentration of a solution is defined as the mass of solute divided by the total mass of the solution, multiplied by 100%. In this case, the solute is sucrose and the solvent is water.
The mass by mass concentration formula is given by:
Mass by mass concentration = (Mass of solute / Mass of solution) x 100%
Let's assume the mass of water taken is "x" grams.
Step 1: Calculate the mass of the solution
The mass of the solution is the sum of the mass of the solute (sucrose) and the mass of the solvent (water).
Mass of solution = Mass of sucrose + Mass of water
Mass of solution = 55 grams + x grams
Step 2: Calculate the mass by mass concentration
Given that the mass by mass concentration is 10%, we can rewrite it as 10/100 or 0.1.
0.1 = (Mass of sucrose / Mass of solution) x 100%
0.1 = (55 grams / (55 grams + x grams)) x 100%
Step 3: Solve for x (mass of water)
0.1 = (55 / (55 + x)) x 100%
0.1 = (55 / (55 + x)) x 100/1
0.1 = 55 / (55 + x)
0.1(55 + x) = 55
5.5 + 0.1x = 55
Step 4: Solve for x
0.1x = 55 - 5.5
0.1x = 49.5
x = 49.5 / 0.1
x = 495 grams
Therefore, the mass of water taken is 495 grams.
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A solution is prepared by dissolving 55 grams of sucrose in some amount of water. If the mass by mass concentration of the solution is 10%, calculate the mass of water taken.?
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A solution is prepared by dissolving 55 grams of sucrose in some amount of water. If the mass by mass concentration of the solution is 10%, calculate the mass of water taken.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A solution is prepared by dissolving 55 grams of sucrose in some amount of water. If the mass by mass concentration of the solution is 10%, calculate the mass of water taken.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solution is prepared by dissolving 55 grams of sucrose in some amount of water. If the mass by mass concentration of the solution is 10%, calculate the mass of water taken.?.
A solution is prepared by dissolving 55 grams of sucrose in some amount of water. If the mass by mass concentration of the solution is 10%, calculate the mass of water taken.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A solution is prepared by dissolving 55 grams of sucrose in some amount of water. If the mass by mass concentration of the solution is 10%, calculate the mass of water taken.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solution is prepared by dissolving 55 grams of sucrose in some amount of water. If the mass by mass concentration of the solution is 10%, calculate the mass of water taken.?.
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