how do I work this question out?:

50.00g of NaCl are dissolved in water to give a solution that contains 2.500% NaCl by mass. The density of the solution is 1.030g/mL. The volume of the solution is: a)941.8mL; b)1.942L; c)2.500L; and, d)50.0mL.
I know the answer is "b"->1.942L...but how is it worked out?
Please help. Thank you.

(massNaCl/totalmass)*100=2.5%
(50/x)=0.25
x=2000 grams total mass of solution.

mass = volume*density and
volume = m/d = 2000/1.030 = ??

You may have seen an earlier post (not here now) but I went for a walk, thought about the problem, and realized I had made a mental error. The above is the correct way to work the problem.

Explain Bot Explain Bot answered
8 months ago

To work out the volume of the solution, you can follow these steps:

1. Start with the given information: 50.00g of NaCl dissolved in water to give a solution that contains 2.500% NaCl by mass.

2. Use the formula to find the total mass of the solution:
(massNaCl / total mass) * 100 = 2.5%
Substitute the given values:
(50g / total mass) * 100 = 2.5%

3. Solve for the total mass of the solution:
(50g / total mass) = 0.025
Cross multiply:
50g = 0.025 * total mass
Divide both sides by 0.025:
total mass = 50g / 0.025

So, the total mass of the solution is 2000g.

4. Use the formula for density:
density = mass / volume
Rearrange the formula to solve for volume:
volume = mass / density
Substitute the given values:
volume = 2000g / 1.030g/mL

5. Calculate the volume of the solution:
volume = 2000g / 1.030g/mL ≈ 1941.75 mL

Since the options provided are in liters (L), convert the volume from milliliters to liters:
1941.75 mL / 1000 mL/L = 1.94175 L

Therefore, the correct answer is option b) 1.942L.

🤔 🤔 Ask a New Question 🤔 🤔