Determine the mass of NaCl in 1.0 L of 3.0 % by mass aqueous solution of sodium chloride. The density of the solutions is 1.10 gmL-1
please explain all the steps, thanks!
3.0% NaCl by mass means 3.0 g NaCl/100 g solution and that is the same as 30.0 g NaCl/1,000 g solution. That consists of 30.0g NaCl/(30.0g NaCl + 970 g H2O)
The 1000g soln has a volume of 1000/1.10 = 909.091.
So if we had a L of the solution, the amount of NaCl would be
30.0 g x (1000 mL/909.091 mL) = ??
That consists of 30.0g NaCl/(30.0g NaCl + 970 g H2O)
...........
Where did this # come from 970 g H2O?
I meant to erase that and thought I did because I thought it might confuse you; however, the 970 g is a correct number but you don't need it anywhere. Where does it come from?
30.0g NaCl/1000 g solution = 30.0g NaCl/(30 g NaCl + 970 g H2O) but you never need the 970g for anything (unless you just wanted to know how much of the solution was water and how much was NaCl.).
Ok Thanks =)
To determine the mass of NaCl in a 1.0 L solution, given that it is a 3.0% by mass solution and the density is 1.10 g/mL, you will need to follow these steps:
Step 1: Define the problem and gather information
- The problem states that we have a 1.0 L solution of sodium chloride (NaCl).
- The solution is a 3.0% by mass solution, meaning that 3.0% of the total solution mass is NaCl.
- The density of the solution is given as 1.10 g/mL.
Step 2: Calculate the mass percentage of NaCl in the solution
- To calculate the mass percentage, divide the mass of NaCl by the mass of the entire solution, then multiply by 100.
- In this case, the mass percentage of NaCl would be 3.0%.
Step 3: Calculate the mass of the entire solution
- The density of the solution is given as 1.10 g/mL, which means that 1 mL of solution weighs 1.10 g.
- Since we have 1.0 L of solution, we can convert this to mL by multiplying by 1000.
- The mass of the entire solution would be 1.0 L * 1000 mL/L * 1.10 g/mL.
Step 4: Calculate the mass of NaCl in the solution
- Now that we know the mass of the entire solution, we can calculate the mass of NaCl by multiplying the mass percentage by the mass of the solution.
- The mass of NaCl would be 3.0% * (mass of the entire solution).
Step 5: Convert the mass of NaCl to grams
- The mass of NaCl was calculated in step 4, but it is currently expressed as a percentage.
- Divide the mass of NaCl by 100 to convert it to grams.
- The final answer will be the mass of NaCl in grams in a 1.0 L solution.