A student needs 0.14 mol of sodium sulphate to do an analysis. the concentration of the available solution is 2.6 m/L. What volume of the solution should the student measure out?
What I've tried:
C=N/V
V=C/N
V=2.6/0.14
V=18.6
The answer in the textbook says 54 mL...
Nevermind, I figured out what I did wrong.
To determine the correct answer, let's go through the problem step by step:
Given:
- Amount of sodium sulfate needed: 0.14 mol
- Concentration of the available solution: 2.6 mol/L
We can use the formula C=N/V, where C is the concentration, N is the amount of substance (in moles), and V is the volume (in liters).
To find the volume, we rearrange the formula as V = N/C.
Let's substitute the values into the formula:
V = 0.14 mol / 2.6 mol/L
Now we can calculate:
V = 0.054 L
To convert liters to milliliters, multiply by 1000:
V = 54 mL
Therefore, the correct answer is 54 mL.
To find the volume of the solution the student should measure out, you need to rearrange the formula of concentration:
C = N/V
V = N/C
Here, N represents the number of moles and C represents the concentration. You've correctly calculated the number of moles:
N = 0.14 mol
Next, you need to use the given concentration:
C = 2.6 mol/L
Now, substitute the values into the formula to find the volume (V):
V = N/C
V = 0.14 mol / (2.6 mol/L)
To eliminate the unit "mol" in the denominator, you need to multiply by the reciprocal of the concentration, which is the same as dividing:
V = (0.14 mol) / (2.6 mol/L)
V = 0.14 / 2.6 L
V ≈ 0.054 L
To convert from liters (L) to milliliters (mL), remember that there are 1000 mL in 1 L:
V = 0.054 L * 1000 mL/L
V ≈ 54 mL
So, the correct answer is indeed 54 mL.