340. mL of hydrochloric acid (HCl) acid is exactly neutralized with 500. mL 0.700 M NaOH solution. What is the concentration of the acid solution?
mL acid x M acid = mL base x M base
To find the concentration of the hydrochloric acid solution, we can first determine the number of moles of NaOH used to neutralize the acid solution.
Step 1: Calculate the number of moles of NaOH
The given NaOH solution has a concentration of 0.700 M. The volume used is 500 mL (or 0.500 L). We can use the concentration and volume to calculate the number of moles of NaOH used.
moles of NaOH = concentration × volume
moles of NaOH = 0.700 M × 0.500 L = 0.350 mol
Step 2: Use the balanced chemical equation to find the mole ratio between NaOH and HCl.
The balanced chemical equation for the neutralization reaction between HCl and NaOH is:
HCl + NaOH → NaCl + H2O
From the balanced equation, we see that 1 mole of HCl reacts with 1 mole of NaOH.
Step 3: Determine the number of moles of HCl.
Since the number of moles of NaOH is equal to the number of moles of HCl, the concentration of the HCl solution can be calculated as follows:
concentration of HCl = moles of HCl / volume of HCl solution
concentration of HCl = 0.350 mol / 0.340 L = 1.03 M
Therefore, the concentration of the hydrochloric acid solution is 1.03 M.