In chemical analysis, it is often necessary to prepare a solution by diluting a stock solution.Calculate how much of a 5.337M NaOH is needed to make 1.669 liters of a 0.063M sodium hydroxide solution. (Remember to include units.)
L1 x M1 = L2 x M2
L1 x 5.337M = 1.669L x 0.063M
Solve for L1.
To calculate how much of a 5.337M NaOH solution is needed to make 1.669 liters of a 0.063M sodium hydroxide solution, we can use the formula for dilution:
C1V1 = C2V2
Where:
C1 = initial concentration of the stock solution
V1 = volume of the stock solution
C2 = final concentration of the diluted solution
V2 = final volume of the diluted solution
In this case, we know:
C1 = 5.337M
V1 = ?
C2 = 0.063M
V2 = 1.669 liters
By rearranging the formula, we can find the volume of the stock solution (V1):
V1 = (C2 * V2) / C1
Plugging in the values:
V1 = (0.063M * 1.669 L) / 5.337M
Now, let's perform the calculation:
V1 = 0.105927 L
Round this value to an appropriate number of significant figures:
V1 = 0.106 L
Therefore, approximately 0.106 liters of the 5.337M NaOH solution is needed to make 1.669 liters of a 0.063M sodium hydroxide solution.