The artificial sweetener NutraSweet is a chemical called aspartame (C14H18N2O5).
(a) What is its molecular mass (in atomic mass units)?
294.13 u
(b) What is the mass (in kg) of an aspartame molecule?
kg
I was able to find the mass units but I'm having trouble finding the mass in kg I have came up with answer 4.887*10-25 and I have check other sources and that seems to be the right answer but my homework it marking it wrong. I used the coversion factor of 1.6605*10^-27. What could I be doing wrong or am I.
right on a. On b, you know one mole is 294 grams, so divide that by avagradros number. That will be the mass per molecule in grams. Divide that by 1000 to get kg.
To find the mass of an aspartame molecule in kilograms, you need to use the conversion factor correctly. The conversion factor you mentioned (1.6605*10^-27) is the atomic mass unit (u) in kilograms (kg).
The molecular mass of aspartame is given as 294.13 u. So, you can multiply the molecular mass by the conversion factor to find the mass in kilograms:
mass in kg = molecular mass × conversion factor
mass in kg = 294.13 u × (1.6605*10^-27 kg/u)
Calculating this value gives:
mass in kg = 4.8772*10^-25 kg
Therefore, the mass of an aspartame molecule is approximately 4.8772*10^-25 kg.
Please note that the value you mentioned (4.887*10^-25 kg) might have been rounded incorrectly, as the correct answer should be 4.8772*10^-25 kg.
To find the mass of an aspartame molecule in kilograms, we can use the following steps:
Step 1: Convert the molecular mass of aspartame from atomic mass units (u) to grams (g).
Given: Molecular mass of aspartame = 294.13 u
Since 1 g = 1 x 10^-3 kg, we can convert grams to kilograms by dividing by 1000.
Mass of aspartame in grams = 294.13 g
Step 2: Convert the mass of aspartame from grams to kilograms.
1 kg = 1000 g
Mass of aspartame in kilograms = 294.13 g / 1000 = 0.29413 kg
Therefore, the mass of an aspartame molecule is approximately 0.29413 kg.
Based on your calculation of 4.887 x 10^-25 kg, it seems you made a conversion error in step 1. Double-check your conversion from grams to kilograms and ensure you divide by 1000 correctly.