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Chapter 1: Problem 101

This year, like many past years, you begin to feel very sleepy after eating a large helping of Thanksgiving turkey. Some people attribute this sleepiness to the presence of the amino acid tryptophan in turkey. Tryptophan can be used by the body to produce serotonin, which can calm the brain’s activity and help to bring on sleep. a. What mass in grams of tryptophan is in a 0.25-lb serving of turkey? (Assume tryptophan accounts for 1.0% of the turkey mass.) b. What mass in grams of tryptophan is in 0.25 quart of milk? (Assume tryptophan accounts for 2.0% of milk by mass and that the density of milk is 1.04 kg/L.)

Short Answer

Expert verified
The mass of tryptophan in a 0.25-lb serving of turkey is approximately \(1.134\,g\), and the mass of tryptophan in 0.25 quart of milk is approximately \(4.913\,g\).

Step by step solution

01

Convert 0.25 lb to grams (g)

1 pound (lb) is equal to 453.592 grams. So, to convert 0.25 lb serving of turkey to grams, simply multiply 0.25 by 453.592: \[0.25\,lb\times453.592\,\frac{g}{lb}=113.398\,g\] #Step 2: Calculate the mass of tryptophan in turkey#
02

Find the mass of tryptophan in the turkey

We are given that the mass percentage of tryptophan in turkey is 1.0%. So, the mass of tryptophan in the 0.25 lb serving of turkey is: \[113.398\,g\times 0.01=\boxed{1.134\,g}\] #b. Finding the mass of tryptophan in a 0.25-quart serving of milk# #Step 1: Convert quarts to liters and liters to grams#
03

Convert 0.25 qt to liters (L) and then grams (g)

1 quart (qt) is equal to 0.946353 liters. So, convert 0.25 qt of milk to liters, and then to grams using the density: \[0.25\,qt\times0.946353\,\frac{L}{qt}=0.236588\,L\] \[0.236588\,L\times 1040\,\frac{g}{L}=245.651\,g\] #Step 2: Calculate the mass of tryptophan in milk#
04

Find the mass of tryptophan in the milk

We are given that the mass percentage of tryptophan in milk is 2.0%. So, the mass of tryptophan in the 0.25 qt serving of milk is: \[245.651\,g\times0.02=\boxed{4.913\,g}\]

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