"""
Problem Statement
You need to determine how many
milliliters of 0.500 M sulfuric
acid (H2SO4) will be necessary
to neutralize 200 mL of 0.750 M
sodium hydroxide (NaOH)
solution.
Steps to Solve the Problem
1. Write the Balanced Chemical
Equation
First, we write the chemical
reaction that happens when
sulfuric acid reacts with
sodium hydroxide:
H2SO4 (aq) + 2NaOH (aq)
-> Na2SO4 (aq) + 2H2O (l)
This equation shows that one
mole of sulfuric acid reacts
with two moles of sodium
hydroxide to produce one mole
of sodium sulfate and two moles
of water.
2. Calculate the Moles of
Sodium Hydroxide (NaOH)
We use the formula for moles:
Moles = Molarity * Volume (L)
First, we need to convert the
volume from milliliters (mL)
to liters (L):
200 mL = 0.200 L
Now, calculate the moles of
NaOH:
Moles of NaOH =
0.750 M * 0.200 L =
0.150 moles
3. Determine the Moles of
Sulfuric Acid (H2SO4) Needed
From the balanced equation,
we see that 1 mole of H2SO4
reacts with 2 moles of NaOH.
This means we need half as
many moles of H2SO4 as we have
moles of NaOH.
Moles of H2SO4 = Moles of NaOH / 2
Moles of H2SO4 =
0.150 moles / 2 = 0.075 moles
4. Calculate the Volume of
Sulfuric Acid (H2SO4) Needed
We need to find out how many
milliliters of 0.500 M H2SO4
solution contains 0.075 moles.
Use the formula for volume:
Volume (L) = Moles / Molarity
Volume of H2SO4 (L) =
0.075 moles / 0.500 M = 0.150 L
Convert the volume from liters
to milliliters:
0.150 L = 150 mL
Summary
To neutralize 200 mL of 0.750 M
NaOH solution, you will need
150 mL of 0.500 M H2SO4
solution.
"""