Step-by-step explanation:
In order to neutralize 0.048 mole of stearic acid with a lithium hydroxide solution of concentration 0.64 mol/dm³, we need to use the balanced equation for the neutralization reaction:
LiOH + CH3(CH2)16COOH → CH3(CH2)16COOLi* + H2O
1 mole of LiOH reacts with 1 mole of stearic acid.
So the number of moles of LiOH required to neutralize 0.048 mole of stearic acid is also 0.048 mole.
The volume of a solution can be calculated by using the formula:
volume = moles x molarity
Therefore, the volume of lithium hydroxide solution needed to neutralize 0.048 mole of stearic acid is:
volume = 0.048 mol x (1/0.64 mol/dm³) = 0.075 dm³
So the volume of lithium hydroxide solution needed to neutralize 0.048 mole of stearic acid is 0.075 dm³.