Answer
The volume of this solution is equal to 5080 ml, or $5.08 \times 10^3$ ml.
Work Step by Step
1. Determine the molar mass of this compound (NaOH):
22.99* 1 + 16* 1 + 1.008* 1 = 39.998 g/mol
2. Calculate the number of moles:
$mm(g/mol) = \frac{mass(g)}{n(mol)}$
$ 39.998 = \frac{25}{n(mol)}$
$n(mol) = \frac{25}{ 39.998}$
$n(mol) = 0.625$
3. Find the volume:
$Concentration(M) = \frac{n(mol)}{V(L)}$
$0.123 = \frac{0.625}{V(L)}$
$V(L) = \frac{0.625}{0.123}$
$V(L) = 5.08 $
4. Convert the volume into ml:
5.08 L $\times \frac{1000 ml}{1L } = 5080 ml$