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 \(0.1000-M \mathrm{NaOH}\) solution. KHP (molar mass \(=204.22 \mathrm{~g} /\) 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 approximately \(0.4177 \mathrm{~g}\).

Step by step solution

01

Write the balanced chemical equation.

The balanced chemical equation for the reaction between KHP and NaOH is as follows: KHP(aq) + NaOH(aq) ⟶ NaKP(aq) + H₂O(l) This tells us that one mole of KHP reacts with one mole of NaOH.
02

Determine the moles of NaOH in the solution.

Given the volume (20.46 mL) and concentration (0.1000 M) of NaOH, we can find the moles of NaOH in the solution by using the formula: moles of NaOH = volume (in L) × concentration moles of NaOH = (20.46 / 1000) × 0.1000 moles of NaOH = 0.002046 mol
03

Determine the moles of KHP based on stoichiometric ratio.

Since one mole of KHP reacts with one mole of NaOH, we can conclude that the moles of KHP that reacted completely are the same as the moles of NaOH. moles of KHP = moles of NaOH moles of KHP = 0.002046 mol
04

Calculate the mass of KHP.

To find the mass of KHP that reacted completely, we'll use the given molar mass of KHP (204.22 g/mol) and the moles of KHP calculated in step 3. mass of KHP = moles of KHP × molar mass mass of KHP = 0.002046 mol × 204.22 g/mol mass of KHP = 0.4177 g So, the mass of KHP that reacted completely with the sodium hydroxide solution is approximately 0.4177 g.

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