Answer:
To determine the mass of phenylalanine produced from 378 g of aspartame, we need to calculate the molar mass of phenylalanine and use stoichiometry.
a. The molecular formula of phenylalanine is C9H11NO2, as you correctly stated.
b. First, let's calculate the molar mass of phenylalanine:
Molar mass of C = 12.01 g/mol
Molar mass of H = 1.01 g/mol
Molar mass of N = 14.01 g/mol
Molar mass of O = 16.00 g/mol
Molar mass of phenylalanine (C9H11NO2) = (9 * 12.01) + (11 * 1.01) + 14.01 + (2 * 16.00)
≈ 165.19 g/mol
Now, using the stoichiometry of the reaction, we know that one mole of aspartame (C14H18N2O5) produces one mole of phenylalanine (C9H11NO2).
Molar mass of aspartame (C14H18N2O5) = (14 * 12.01) + (18 * 1.01) + (2 * 14.01) + (5 * 16.00)
≈ 294.30 g/mol
Moles of aspartame = mass of aspartame / molar mass of aspartame
Moles of aspartame = 378 g / 294.30 g/mol
≈ 1.285 mol
From the stoichiometry, we know that one mole of aspartame produces one mole of phenylalanine. Therefore, the moles of phenylalanine produced will also be approximately 1.285 mol.
Now, we can calculate the mass of phenylalanine produced:
Mass of phenylalanine = moles of phenylalanine * molar mass of phenylalanine
= 1.285 mol * 165.19 g/mol
≈ 212.43 g
Therefore, approximately 212.43 g of phenylalanine is produced from 378 g of aspartame.
I HOPE IT WILL HELP YOU AND PLEASE SUPPORT ME