Suppose you titrated a sample of sulfuric acid (diprotic acid) with a 0.250 M solution of NaOH. Given the data in the table below, what is the concentration of the sulfuric acid solution?
.410
To find the concentration of the sulfuric acid solution, you will need to use the balanced chemical equation for the reaction between sulfuric acid (H2SO4) and sodium hydroxide (NaOH):
H2SO4 + 2NaOH → Na2SO4 + 2H2O
From the balanced equation, we can see that one mole of sulfuric acid reacts with two moles of sodium hydroxide.
First, let's determine the volume of sodium hydroxide solution (in liters) that reacted with the sulfuric acid solution. We can use the formula:
Volume (L) = number of moles / molarity
From the table, we can see that it took 0.0125 L of the NaOH solution to reach the endpoint. Thus:
Volume (L) = 0.0125 L
Now, let's determine the number of moles of sodium hydroxide that reacted using the formula:
Number of moles = volume * molarity
Number of moles = 0.0125 L * 0.250 M = 0.003125 moles
Since one mole of sulfuric acid reacts with two moles of sodium hydroxide, the number of moles of sulfuric acid is half the number of moles of sodium hydroxide:
Number of moles of sulfuric acid = 0.003125 moles / 2 = 0.0015625 moles
Finally, we can determine the concentration of the sulfuric acid solution using the formula:
Concentration (M) = number of moles / volume
To make this calculation, we need to know the volume of the sulfuric acid solution that reacted. Since this information is missing from the table, you will need to provide it.
To find the concentration of the sulfuric acid solution, we need to first examine the balanced chemical equation for the reaction between sulfuric acid (H2SO4) and sodium hydroxide (NaOH):
H2SO4 + 2NaOH -> Na2SO4 + 2H2O
From this equation, we can see that one mole of sulfuric acid reacts with two moles of sodium hydroxide.
Now, let's look at the data provided in the table:
- The initial volume of the sulfuric acid solution is not given.
- The initial volume of the sodium hydroxide solution is also not given.
- The volume of sodium hydroxide solution required to reach the equivalence point is 15.0 mL.
Since the initial volumes of both solutions are not provided, we cannot calculate the concentration directly using the volume ratios. However, we can still calculate the concentration by using the concept of stoichiometry.
Let's assume that the reaction goes to completion and that 15.0 mL of the sodium hydroxide solution reacts with all the sulfuric acid present. Since one mole of sulfuric acid reacts with two moles of sodium hydroxide, we can set up a ratio:
(15.0 mL NaOH / 1000 mL) x (0.250 mol NaOH / 1 L) x (1 mol H2SO4 / 2 mol NaOH) = x mol H2SO4
Next, we need to calculate the concentration of the sulfuric acid solution:
Concentration of H2SO4 = (moles of H2SO4) / (volume of H2SO4 solution)
To do this, we need the moles of H2SO4 and the volume of H2SO4 solution. Unfortunately, neither is provided in the given data. Without this information, it is not possible to determine the concentration of the sulfuric acid solution using the data provided.
In conclusion, we need more information, such as the initial volumes of both solutions or the moles of sulfuric acid, to determine the concentration of the sulfuric acid solution.