A student titrates an unknown amount of potassium hydrogen phthalate \(\left(\mathrm{KHC}_{8} \mathrm{H}_{4} \mathrm{O}_{4}\right.\), often abbreviated \(\mathrm{KHP}\) ) with \(20.46 \mathrm{~mL}\) of a \(0.1000 M\) NaOH solution. KHP (molar mass \(=204.22\) \(\mathrm{g} / \mathrm{mol}\) ) has one acidic hydrogen. What mass of KHP was titrated (reacted completely) by the sodium hydroxide solution?

Short Answer

Expert verified
The mass of KHP that reacted completely with the sodium hydroxide solution is 0.418 g.

Step by step solution

01

Calculate the moles of NaOH involved in the reaction

Given the volume of NaOH solution (20.46 mL) and its concentration (0.1000 M), we can calculate the moles of NaOH involved in the reaction: Moles of NaOH = Volume of NaOH × Concentration of NaOH Moles of NaOH = \(20.46\times10^{-3} L\)\( × 0.1000 \frac{mol}{L}\) Moles of NaOH = \(2.046\times10^{-3} mol\)
02

Write the balanced chemical equation and determine the stoichiometry

We write the balanced chemical equation for the acid-base reaction: KHP (aq) + NaOH (aq) → NaKP (aq) + H2O (l) From the equation, we see that 1 mole of KHP reacts with 1 mole of NaOH, so the stoichiometry is 1:1.
03

Calculate the moles of KHP involved in the reaction

Using the stoichiometry of the reaction, we can calculate the moles of KHP: Moles of KHP = Moles of NaOH (as the ratio is 1:1) Moles of KHP = \(2.046\times10^{-3} mol\)
04

Find the mass of KHP using its molar mass

The molar mass of KHP is given as 204.22 g/mol. Therefore, we can find the mass of KHP that reacted completely with the sodium hydroxide solution: Mass of KHP = Moles of KHP × Molar mass of KHP Mass of KHP = \(2.046\times10^{-3} mol\)\( × 204.22 \frac{g}{mol}\) Mass of KHP = 0.418 g So the mass of KHP that reacted completely with the sodium hydroxide solution is 0.418 g.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Stoichiometry
Stoichiometry is a fundamental concept in chemistry that involves the quantitative relationships between the reactants and products in a chemical reaction. It is based on the conservation of mass and the law of definite proportions. The key to solving any stoichiometric problem is to first write down the balanced chemical equation for the reaction. From this equation, you can determine the mole ratio of the reactants and products involved.

In the case of an acid-base titration like the one in the exercise, stoichiometry tells us how many moles of the titrant (in this case, sodium hydroxide, NaOH) are needed to react completely with a specific amount of the titrand (potassium hydrogen phthalate, KHP). A balanced chemical equation reveals that the reaction between KHP and NaOH occurs in a 1:1 molar ratio, where one mole of KHP reacts with one mole of NaOH to produce the products. When performing an actual titration, the endpoint is reached when this exact stoichiometric proportion is achieved, indicating that the amount of titrant added is stoichiometrically equivalent to the amount of substance in the sample.
Molar Mass
The molar mass of a compound is the mass in grams of one mole of that compound. It is a vital concept in stoichiometry as it provides a bridge between the mass of a substance and the number of moles, allowing chemists to quantify substances based on their mass. The molar mass is obtained by summing up the atomic masses of all the atoms in a molecule, as reported on the periodic table of elements, and it is expressed in grams per mole (g/mol).

To calculate the mass of any substance involved in a chemical reaction, you would multiply the number of moles of the substance by its molar mass. In our textbook problem, the molar mass of KHP is given as 204.22 g/mol. By knowing the moles of KHP that reacted, we can determine its mass by using the formula: Mass = Moles × Molar Mass. This step is crucial as it translates the abstract concept of 'moles' into a tangible mass that can be measured in a laboratory setting.
Chemical Reaction
A chemical reaction is a process where substances, known as reactants, undergo a chemical change to form new substances, called products. This process involves the making and breaking of chemical bonds and can result in various physical changes such as color change, temperature change, and the formation of precipitates or gas.

Each chemical reaction is represented by a chemical equation that must be balanced to obey the law of conservation of mass. This means the number of atoms of each element in the reactants must equal the number of atoms of that same element in the products. The balanced equation provides us with the stoichiometric coefficients that describe the ratio in which the compounds participate in the reaction. In the context of an acid-base titration, the reaction between the acid (KHP) and the base (NaOH) produces a salt (NaKP) and water (H2O). By understanding the specifics of the chemical reactions involved, students can grasp why certain products are formed and predict the outcomes of similar reactions.

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Most popular questions from this chapter

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