Calculate the mass of water that must be added to .45 mol of glucose to make a solution of 15 percent by mass. The molar mass of glucose is 180g/mol
To find the mass of water that must be added to .45 mol of glucose to make a solution of 15% by mass, follow these steps:
1. Calculate the molecular weight of glucose:
- The molar mass of glucose is given as 180 g/mol.
2. Calculate the mass of glucose:
- Mass of glucose = Number of moles × Molecular weight
- Mass of glucose = 0.45 mol × 180 g/mol
3. Calculate the mass of the solution:
- Mass of solution = Mass of glucose / Percentage by mass
- Mass of solution = (0.45 mol × 180 g/mol) / 0.15
4. Calculate the mass of water:
- Mass of water = Mass of solution - Mass of glucose
Now, let's calculate the values step by step:
Step 1:
Molecular weight of glucose = 180 g/mol
Step 2:
Mass of glucose = 0.45 mol × 180 g/mol
Mass of glucose = 81 g
Step 3:
Mass of solution = (0.45 mol × 180 g/mol) / 0.15
Mass of solution = 540 g
Step 4:
Mass of water = Mass of solution - Mass of glucose
Mass of water = 540 g - 81 g
Mass of water = 459 g
Therefore, to make a solution of 15% by mass, you need to add 459 grams of water to 0.45 mol of glucose.
To calculate the mass of water that must be added to .45 mol of glucose to make a solution of 15% by mass, we need to follow these steps:
Step 1: Calculate the mass of glucose in the solution.
The molar mass of glucose is given as 180g/mol, and we have 0.45 mol of glucose. Therefore, the mass of glucose can be calculated as:
Mass of glucose = 0.45 mol * 180 g/mol = 81 g
Step 2: Calculate the mass of the solution.
We know that the solution is 15% glucose by mass. This means that the mass of glucose is 15% of the total mass of the solution. Let's denote the total mass of the solution as "M". Therefore, we can calculate the mass of the solution as:
Mass of solution = Mass of glucose / (15/100) = 81 g / (15/100) = 540 g
Step 3: Calculate the mass of water to be added.
The mass of water to be added is equal to the mass of the solution minus the mass of glucose. Using the values calculated in the previous steps:
Mass of water = Mass of solution - Mass of glucose = 540 g - 81 g = 459 g
Therefore, to make a solution of 15% glucose by mass, you need to add 459 grams of water to 0.45 mol of glucose.