If 22.15mL of 0.100M sulfuric acid is required to neutralize 10.0mL of lithium hydroxide solution, what is the molar concentration of the base? How would I approach this problem?

#H_2SO_4# (aq) + 2LiOH(aq) #rarr# #Li_2SO_4# + #2H_2O#

Answer 1

#"0.443 M"#

When it comes to neutralization reactions, your approach is to use the balanced chemical equation to figure out how many moles of each reactant need to be in solution for total neutralization to occur.

The balanced chemical equation in your situation looks like this.

#"H"_2"SO"_text(4(aq]) + color(red)(2)"LiOH"_text((aq]) -> "Li"_2"SO"_text(4(aq]) + 2"H"_2"O"_text((l])#
Notice that you have a #1:color(red)(2)# mole ratio between sulfuric acid and lithium hydroxide. This tells you that the reaction will always consume #color(red)(2)# times more moles of lithium hydroxide than moles of sulfuric acid.

The molarity and volume of the sulfuric acid solution are now provided by the problem, which is one method of determining the number of moles of sulfuric acid because

#color(blue)("molarity" = "moles of solute"/"liters of solution")#

Using the previously mentioned mole ratio, you can calculate how many moles of lithium hydroxide would be required to ensure that every mole of acid is neutralized if you know how many moles of sulfuric acid were in the original solution.

Thus, the amount of sulfuric acid in moles will be

#color(blue)(c = n/V implies n = c * V)#
#n = "0.100 M" * 22.15 * 10^(-3)"L" = "0.002215 moles H"_2"SO"_4#

Thus, you would require

#0.002215 color(red)(cancel(color(black)("moles H"_2"SO"_4))) * (color(red)(2)" moles LiOH")/(1color(red)(cancel(color(black)("mole H"_2"SO"_4)))) = "0.00443 moles LiOH"#

All that's left to do is calculate the solution's molarity using its volume.

#c = "0.00443 moles"/(10.0 * 10^(-3)"L") = color(green)("0.443 M")#

Thus, keep in mind that mole ratios are the foundation of chemical reactions. In terms of solutions, begin by concentrating on moles; you can then use molarity and volume to help you find what you need.

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Answer 2

You would use the equation: ( \text{M}_1V_1 = \text{M}_2V_2 ) where M1 is the molar concentration of sulfuric acid, V1 is the volume of sulfuric acid used, M2 is the molar concentration of lithium hydroxide, and V2 is the volume of lithium hydroxide used. Rearrange the equation to solve for M2, the molar concentration of lithium hydroxide. Then plug in the given values and solve for M2.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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