Density problem to find grams?

[Complexity]

Homework Statement

A solution is prepared by adding enough water to 185 grams of CsCl to form 1 liter of solution. What is the mass of the solution? The density of the solution is 1.182 g/mL.

Homework Equations

D= m/v

The Attempt at a Solution

D= 1.182 g/mL ----> 185 g CsCl / 1.182 g/ml = 156.5143824mL * 1L /1000L = 0.157L

but how do i find the mass? I am confused...? Isn't the mass of the solution just 185 grams?

 

[Bohrok]

If the density of the solution is 1.182 g/mL, how many grams of solution are in 1 liter of solution?

 

[Complexity]

If the density of the solution is 1.182 g/mL, how many grams of solution are in 1 liter of solution?

So you're saying if (1.182 g/mL)(1000ml/1L) = 1182 grams are in 1 liter of solution?

 

[Borek]

So you're saying if (1.182 g/mL)(1000ml/1L) = 1182 grams are in 1 liter of solution?

Actually that's what you said, Bohrok only asked But that's the correct answer.

 

[DeeNos]

The mass of the solution would be the sum of the mass of the CsCl and the mass of the water added. Therefore, to find the mass of the solution, we need to first calculate the mass of the water added.

We know that the total volume of the solution is 1 liter, and the volume of CsCl is 156.5143824mL. Therefore, the volume of water added is:

1 L - 156.5143824 mL = 843.4856176 mL

Now, we can use the density equation to find the mass of the water added:

m = D x v

m = 1.000 g/mL x 843.4856176 mL = 843.4856176 g

Therefore, the total mass of the solution is:

185 g + 843.4856176 g = 1028.4856176 g

So, the mass of the solution is approximately 1028.5 grams.