We can use the balanced chemical equation for the reaction between KHP (potassium hydrogen phthalate) and NaOH:
KHC8H4O4 + NaOH → NaKC8H4O4 + H2O
From the equation, we can see that 1 mole of KHP reacts with 1 mole of NaOH. We can use this information to calculate the moles of NaOH used in the titration:
moles of NaOH = concentration of NaOH x volume of NaOH used
moles of NaOH = 0.1001 mol/L x 0.02710 L
moles of NaOH = 0.002711 mol
Since 1 mole of NaOH reacts with 1 mole of KHP, the moles of KHP in the sample is also 0.002711 mol.
Now, we can use the mass of the sample to calculate the percent KHP in the sample:
percent KHP = (mass of KHP / mass of sample) x 100%
To find the mass of KHP in the sample, we need to first calculate the molecular weight of KHP:
KHC8H4O4: K = 39.10 g/mol, H = 1.01 g/mol, C = 12.01 g/mol, O = 16.00 g/mol
Molecular weight of KHP = 204.22 g/mol
mass of KHP = moles of KHP x molecular weight of KHP
mass of KHP = 0.002711 mol x 204.22 g/mol
mass of KHP = 0.5547 g
Now, we can calculate the percent KHP in the sample:
percent KHP = (mass of KHP / mass of sample) x 100%
mass of sample = 1.118 g
percent KHP = (0.5547 g / 1.118 g) x 100%
percent KHP ≈ 49.6%
Therefore, the percent KHP in the sample is approximately 49.6%.