A student titrates an unknown amount of potassium hydrogen phthalate \(\left(\mathrm{KHC}_{8} \mathrm{H}_{4} \mathrm{O}_{4},\) often abbreviated KHP) with \right. \(20.46 \mathrm{mL}\) of a \(0.1000-M \mathrm{NaOH}\) 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 titrated (reacted completely) by the sodium hydroxide solution is approximately \(0.418 \mathrm{g}\).

Step by step solution

01

Calculate moles of NaOH used in the titration

First, we will calculate the moles of NaOH used in the titration using the given volume and molarity. moles of NaOH = volume of NaOH (in L) × molarity of NaOH moles of NaOH = \(20.46 \times 10^{-3} \mathrm{L} \times 0.1000 \frac{\mathrm{mol}}{\mathrm{L}}\)
02

Determine moles of KHP that reacted

Since the reaction between KHP and NaOH is in a 1:1 ratio, the moles of KHP reacted will be equal to the moles of NaOH used in the titration. moles of KHP = moles of NaOH
03

Calculate the mass of KHP titrated

Now, using the molar mass of KHP, we can determine the mass of KHP titrated. mass of KHP = moles of KHP × molar mass of KHP mass of KHP = moles of KHP × \(204.22 \frac{\mathrm{g}}{\mathrm{mol}}\)
04

Calculate the final results

Plug the values from previous steps into the equations and solve for mass of KHP. moles of NaOH = \(20.46 \times 10^{-3} \mathrm{L} \times 0.1000 \frac{\mathrm{mol}}{\mathrm{L}} = 2.046 \times 10^{-3}\) mol moles of KHP = moles of NaOH = \(2.046 \times 10^{-3}\) mol mass of KHP = moles of KHP × \(204.22 \frac{\mathrm{g}}{\mathrm{mol}} = 2.046 \times 10^{-3} \mathrm{mol} \times 204.22 \frac{\mathrm{g}}{\mathrm{mol}} \approx 0.418 \mathrm{g}\) The mass of KHP titrated (reacted completely) by the sodium hydroxide solution is approximately 0.418 g.

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