How do I determine the mass (in g) of a sucrose solution that contains 12g of sucrose and is 4.1% sucrose by mass?

Well, determining the mass of a sucrose solution can be a bit of a sticky situation. But don't worry, I'm here to help!

To find the mass of the solution, we need to figure out what percentage of the total mass is made up of sucrose. In this case, the solution is 4.1% sucrose by mass.

Let's call the mass of the solution x grams. Since the solution is 4.1% sucrose, we can write an equation:

(0.041)(x) = 12

To solve for x, we divide both sides of the equation by 0.041:

x = 12 / 0.041

Now, let's bust out the calculator and do the math.

According to my calculations, the mass of the sucrose solution should be approximately "292.68 g."

Voila! You've found the mass of the solution. Just remember, when it comes to chemistry, always keep your formulas and jokes balanced.

To determine the mass of a sucrose solution, you need to know the total mass of the solution and the percentage of sucrose by mass. Here's how you can calculate it:

Step 1: Convert the percentage concentration to decimal form.
To convert 4.1% to decimal form, divide it by 100: 4.1/100 = 0.041.

Step 2: Set up a proportion using the mass of sucrose and the total mass of the solution.
Let's say the mass of the solution is represented by "M".
The mass of sucrose is given as 12g, and the mass of sucrose in the solution is 4.1% of the total mass.
Therefore, the equation becomes: 12g / M = 0.041.

Step 3: Solve for M.
To find the total mass of the solution, rearrange the equation to isolate M:
M = 12g / 0.041.

Step 4: Calculate the value of M.
Divide 12g by 0.041: M = 292.68g.

Therefore, the mass of the sucrose solution is 292.68g.

To determine the mass of the sucrose solution, you need to calculate the total mass of the solution and subtract the mass of the water. Here are the steps to do it:

Step 1: Convert the percentage to a decimal.

In this case, the solution is 4.1% sucrose by mass. To convert this to a decimal, divide 4.1 by 100:
4.1 ÷ 100 = 0.041

Step 2: Calculate the total mass of the solution.

The total mass of the solution is the sum of the mass of sucrose and the mass of water. In this case, we know that the mass of sucrose is 12 g. To find the mass of the solution, divide the mass of sucrose by the percentage of sucrose in the solution (as a decimal):
12 g ÷ 0.041 = 292.682 g

So, the total mass of the solution is approximately 292.682 g.

Step 3: Determine the mass of water in the solution.

To find the mass of water, subtract the mass of the sucrose from the total mass of the solution:
292.682 g - 12 g = 280.682 g

Therefore, the mass of the water in the solution is approximately 280.682 g.

Therefore, the mass of the sucrose solution is 292.682 g, and the mass of water in the solution is 280.682 g.

4.1% w/w sucrose means 4.1 g sucrose per 100 g solution. [The 100 g solution will be made up of 4.1g sucrose + 95.9 g H2O but that isn't needed to weork the problem.]

100 g soln x (12g/4.1g) = ? g soln.

There is another way to do it; some students prefer this method. Just plug into the % equation.
% = (mass solute/g solution)*100 = ?
4.1 = (12/x) and solve for x.