What is the molarity of a solution of sodium hydroxide, NaOH, if 41.4 mL of this solution is re

What is the molarity of a solution of sodium hydroxide,...

What is the molarity of a solution of sodium hydroxide, $\mathrm{NaOH},$ if $41.4 \mathrm{~mL}$ of this solution is required to react with $37.5 \mathrm{~mL}$ of $0.0342 \mathrm{M}$ nitric acid solution according to the following reaction? $$ \mathrm{HNO}_{3}+\mathrm{NaOH} \longrightarrow \mathrm{NaNO}_{3}+\mathrm{H}_{2} \mathrm{O}(\ell) $$

What is the molarity of a solution of sodium hydroxide, $\mathrm{NaOH},$ if $41.4 \mathrm{~mL}$ of this solution is required to react with $37.5 \mathrm{~mL}$ of $0.0342 \mathrm{M}$ nitric acid solution according to the following reaction?
$$
\mathrm{HNO}_{3}+\mathrm{NaOH} \longrightarrow \mathrm{NaNO}_{3}+\mathrm{H}_{2} \mathrm{O}(\ell)
$$

Key Concepts

Molarity

Molarity is a measure of concentration defined as the number of moles of a solute per liter of solution. It is a fundamental concept in chemistry that allows one to relate the amount of substance to the volume of the solution, which is essential for quantitative analysis and reaction stoichiometry.

Stoichiometry

Stoichiometry involves using the balanced chemical equation to determine the relationships between reactants and products in a chemical reaction. It allows one to calculate the mole ratios, which are critical when determining unknown concentrations in a reaction such as titration.

Acid-Base Titration

Acid-base titration is an analytical procedure used to determine the concentration of an acid or a base by adding a reagent of known concentration until the reaction reaches its endpoint. This method relies on the stoichiometric equivalence of the reactants to accurately calculate the unknown concentration.

Unit Conversions

Unit conversion is the process of converting measurements from one unit system to another, such as converting milliliters to liters. Accurate unit conversion is necessary in chemical calculations to ensure that all quantities are expressed in consistent units, particularly when calculating molarity from measured volumes.

Transcript

00:01 In this question, we need to determine the malarity of sodium hydroxide, which reacts with nitric acids.

00:10 Both volumes of these reagents are provided, as well as the molarity of nitric acid.

00:20 And the calculation needs to be done according to the reaction equation, which is given in the question, and also present it on this page.

00:31 All right.

00:32 So for us in order to calculate molarity, we know that this is moles per liter.

00:43 So we need to calculate a number of moles of sodium hydroxide.

00:48 And we already have the volume, even though in milliliters, we can just convert that to liters.

00:55 So first of all, we will need to calculate a number.

01:00 Number of moles of sodium hydroxide and this we will calculate from the number of moles of nitric acid and then yes just use this stoichiometric ratio to calculate the number of moles of sodium hydroxide and from there we can easily then calculate the molarity right so our first step is to calculate the number of moles of sodium nitroxide.

01:32 So, oh, sorry, not sodium nitric acid.

01:40 We have the volume in terms of milliliters.

01:44 So we need to convert that to liters because we're going to multiply that with the molarity of nitric acid, which is in terms of moles per litre.

01:57 So this is 0 .0 .0342 moles per 1 litre.

02:08 Right, and if we do that, you can also see that the units cancel out and we end up with moles.

02:15 Now i'm not going to do the calculation here...

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