a 10.0% sucrose solution has a density of 2.00 g/mL. what is the mass of sucrose dissolved in 1.00 liter of this solution?

thanks,
mary

Well, in a liter, there are 2000 grams (from density), and 200 of those are sucrose.

There is no answer

To find the mass of sucrose dissolved in 1.00 liter of a 10.0% sucrose solution, we can use the information given.

Given:
Sucrose solution concentration = 10.0%
Density of the sucrose solution = 2.00 g/mL
Volume of the solution = 1.00 liter

To find the mass of sucrose, we need to calculate the mass per volume of the solution.

Step 1: Calculate the mass of the solution.
Density = Mass / Volume
Rearranging the equation, we have:
Mass = Density x Volume

Mass of the solution = 2.00 g/mL x 1.00 L = 2.00 g

Step 2: Calculate the mass of sucrose.
Since the sucrose solution concentration is 10.0%, it means that 10.0 grams of sucrose is present in 100.0 grams of the solution.

Let x be the mass of sucrose.
10.0 g sucrose / 100.0 g solution = x / 2.00 g
Solve for x:
x = (10.0 g / 100.0 g) x 2.00 g = 0.20 g

Therefore, the mass of sucrose dissolved in 1.00 liter of the 10.0% sucrose solution is 0.20 grams.

To find the mass of sucrose dissolved in 1.00 liter of a 10.0% sucrose solution, you need to calculate the amount of sucrose in grams.

First, you need to convert the percentage into grams. A 10.0% solution means that 10.0 grams of sucrose is present in a 100 mL solution. Since the density of the solution is given as 2.00 g/mL, you can use this information to determine the volume of the solution.

Density = Mass / Volume

Rearranging the equation, we can solve for the volume:

Volume = Mass / Density

Given that the density is 2.00 g/mL, we can substitute this value into the equation:

Volume = Mass / 2.00 g/mL

Volume = Mass / 2.00

Now, we know that the volume is 1.00 liter, so we can substitute this value into the equation:

1.00 L = Mass / 2.00

Solving for the mass, multiply both sides of the equation by 2.00:

2.00 * 1.00 L = Mass

Mass = 2.00 g

Therefore, the mass of sucrose dissolved in 1.00 liter of the 10.0% sucrose solution is 2.00 grams.