Calculate the grams in solute: 300 g of water in the preparation of 15.0% NaNO solution. Atomic Weight: Na=23,N=14,o=16.
For 15.0% you want 15 g solute/100 g soln where 100 g soln = 15g solute+85 g H2O. For 300 g H2O you want:
let x = grams solute
(x/x+300) = 0.15 and solve for x.
where did you get the 85g H2O?
If the solution is 15.0%, it is 15.0 g solute/100 g SOLUTION. If we have 15.0 g solute, there must be 85 g H2O in order for the total solution to have a mass of 100 grams.
To calculate the grams of solute in the solution, we need to use the following formula:
Grams of solute = (Percentage of solute / 100) * Mass of solution
First, let's determine the mass of the solution. Since we have 300 g of water, we need to find the total mass of the solution. The solution comprises water and the solute NaNO3.
Mass of solution = Mass of water + Mass of NaNO3
Given that the mass of water is 300 g, we can calculate the mass of NaNO3 by subtracting the mass of water from the total mass of the solution. However, we still need the total mass of the solution.
Since we are given the percentage concentration of the NaNO3 solution, we know that it is a 15.0% solution. This means that 100% of the solution would consist of 15.0 g of NaNO3 per 100 g of the solution.
To determine the total mass of the solution, we can set up the following proportion:
15.0 g NaNO3 / 100 g solution = X g NaNO3 / Total mass of the solution
Using this proportion, we can solve for the total mass of the solution:
X = (15.0 g NaNO3 / 100 g solution) * Total mass of the solution
Now, we can substitute the values we know:
X = (15.0 g / 100 g) * Total mass of the solution
Next, we need to express the total mass of the solution in terms of the mass of water and the mass of NaNO3:
Total mass of the solution = Mass of water + Mass of NaNO3
Substituting the known values:
Total mass of the solution = 300 g (mass of water) + X g (mass of NaNO3)
Now, let's substitute this value of the total mass of the solution back into the equation to solve for X:
X = (15.0 g / 100 g) * (300 g + X g)
Simplifying the equation:
X = (15 / 100) * (300 + X)
Now, we can solve the equation to find the value of X:
X = (15 / 100) * 300 + (15 / 100) * X
Simplifying further:
X = 45 + (15 / 100) * X
Subtracting (15 / 100) * X from both sides:
(15 / 100) * X - (15 / 100) * X = 45
0.15 * X = 45
Dividing both sides by 0.15:
X = 45 / 0.15
X = 300
So, the mass of NaNO3 in the solution is 300 g.
Therefore, the grams of solute in the solution is 300 g.