To find the required volume of the base to neutralize a given volume of acid, we can use the concept of stoichiometry and the balanced chemical equation for the reaction.
The balanced chemical equation for the neutralization reaction between an acid and a base is:
Acid + Base -> Salt + Water
From the problem statement, we know that the acid is present in a concentration of 0.10 M and its volume is 8.00 mL.
To determine the volume of the base, we need to use the stoichiometry of the balanced equation. In this case, the stoichiometric ratio of acid to base is 1:1, meaning that one mole of acid reacts with one mole of base.
Using the given concentration of the acid, 0.10 M, we can calculate the number of moles of acid using the formula:
moles of acid = concentration of acid x volume of acid (in liters)
moles of acid = 0.10 M x (8.00 mL / 1000 mL/L) = 0.00080 moles
Since the stoichiometric ratio of acid to base is 1:1, we know that 0.00080 moles of base are required to neutralize the acid.
Now, to find the volume of the base, we need to use the concentration of the base. Given that the base concentration is also 0.10 M, we can use the formula:
moles of base = concentration of base x volume of base (in liters)
0.00080 moles = 0.10 M x (volume of base in liters)
Solving for the volume of base:
volume of base = 0.00080 moles / 0.10 M
volume of base = 0.0080 L = 8.0 mL (since 1 L = 1000 mL)
Therefore, 8.0 mL of the 0.10 M base is required to neutralize 8.00 mL of the 0.10 M acid.
Now, let's consider how the volume of base would change if the 8.00 mL of 0.10 M acid was first diluted with 100 mL of water.
When the acid is diluted with water, the total volume of the solution increases, but the concentration of the acid remains the same. This means that the moles of acid present in the solution will still be the same.
Since the stoichiometry of the reaction remains the same, the number of moles of base required to neutralize the acid will also remain the same.
Therefore, if the acid is diluted with water, the volume of base required to neutralize the acid will remain the same. This means the answer is B. No change.
There is enough information given to predict what would happen.