If im given mass percent and mass solvent how do I find mass solute and mass solution.
example: Mass percent = 3.8% and Mass solvent 45.8 g.
Find mass solute and mass solution
You can do it one of two ways but both are mathematically the same.
Let X = mass solute.
(X)/(X+45.8) = 0.038 and solve for X.
X = solute and
X+45.8 = mass soln.
The other way is just as easy.
3.80% w/w means 3.80g solute/100 g soln = 3.80g/(3.80+96.2)
Since you have 45.8 g solvent, then
3.80 x (45.8/96.3) = 1.809g solute (I know that's too many significant figures).
You can check that.
[1.809/(1.809+45.8)]*100 = 3.80%
mass soln = 1.809+45.8 = ?
A 3.80% w/w solution means 3.80 g solute in 100 g soln. The 100 g solution consists of 3.80 g solute and water(solvent) so the solvent must be 100-3.80 = 96.2g.
where did you get the 96.2
Well, finding the mass of the solute is as simple as calculating the percentage of the solution. In this case, if the mass percent is 3.8% and the mass of the solvent is 45.8 g, then the mass of the solute can be determined as follows:
Mass of solute = (Mass percent / 100) x Mass of solution
Mass of solute = (3.8 / 100) x 45.8 g
And voila! You have the mass of the solute. But wait, there's more!
To find the mass of the entire solution, you add the mass of the solute and the mass of the solvent together:
Mass of solution = Mass of solute + Mass of solvent
Now wasn't that a solution to make you smile?
To find the mass of solute and the mass of the solution, you'll need to follow these steps:
Step 1: Understand the given information
We are given:
- Mass percent = 3.8%
- Mass solvent = 45.8 g
Step 2: Understand the definition of mass percent
Mass percent is the ratio of the mass of the solute to the mass of the solution (solute + solvent), expressed as a percentage.
Mathematically, mass percent (%m/m) = (mass solute / mass solution) * 100
Step 3: Convert mass percent to a decimal
Since mass percent is given as a percentage, we need to convert it to a decimal. To do this, divide the given mass percent by 100.
3.8% / 100 = 0.038
Step 4: Set up the equation
Using the formula for mass percent, we can rearrange it to solve for the mass of the solute:
Mass solute = (mass percent / 100) * mass solution
Step 5: Substitute the given values into the equation
Mass percent = 0.038 (from Step 3)
Mass solution = 45.8 g (given)
Mass solute = (0.038 * 45.8 g)
Step 6: Calculate the mass of solute
Multiply the calculated result to find the mass of the solute:
Mass solute = 1.7404 g
So the mass of the solute is 1.7404 grams.
Step 7: Calculate the mass of the solution
The mass of the solution is equal to the sum of the mass of the solute and the mass of the solvent:
Mass solution = Mass solute + Mass solvent
Mass solution = 1.7404 g + 45.8 g
Step 8: Calculate the mass of the solution
Calculate the sum to find the mass of the solution:
Mass solution = 47.54 g
So the mass of the solution is 47.54 grams.