Hello!
To calculate the household concentration of NaOH we need to use the dilution formula, clearing for M2, as you can see in the equation below:
[tex]M1*V1=M2*V2 \\ \\ V2= \frac{M1*V1}{V2} [/tex]
Now, we input the values from the data we have onto this equation. M1=19,1 M; V1=10 mL; V2=400 mL, and solve the equation to get the result:
[tex]V2= \frac{M1*V1}{V2}= \frac{19,1M*10mL}{400 mL}=0,48M [/tex]
So, the household concentration of NaOH will be 0,48 M
Have a nice day!