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Chapter 2: Problem 99

Dark-roasted coffee contains increased amonts of Nmethylpyridinium, or NMP, a ringed compound that is not present in green unroasted coffee beans. This compound seems to decrease the stomach acid production normally associated with drinking coffee. In coffee made from dark-roasted coffee, the concentration of NMP is \(31.4 \mathrm{mg} / \mathrm{L}\). How many milligrams of NMP would you consume if you drank \(2.00\) large cups of dark-roasted coffee? (One coffee cup contains \(10.0\) fluid ounces of liquid.)

Short Answer

Expert verified
You would consume approximately 18.57 mg of NMP.

Step by step solution

01

- Figure out the total volume in liters

First, convert the fluid ounces of coffee to liters. Since one coffee cup contains 10.0 fluid ounces and you have 2 cups, you need to find the total fluid ounces first: 10.0 fluid ounces/cup * 2 cups = 20.0 fluid ounces.Given that 1 fluid ounce is approximately 0.0295735 liters, convert the total volume to liters: 20.0 fluid ounces * 0.0295735 = 0.59147 liters.
02

- Calculate total amount of NMP in milligrams

Next, use the concentration of NMP to find out how many milligrams of NMP are in the total volume of coffee you have. The concentration is given as 31.4 mg/L.Using the formula: Amount of NMP = concentration × volumeThus, 31.4 mg/L * 0.59147 L = 18.57 mg.
03

- Provide the final amount of NMP consumed

The total amount of NMP consumed is the product obtained from the previous step. Therefore, you would consume around 18.57 milligrams of NMP.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Concentration Calculations
Concentration calculations are essential in chemistry to determine how much of a substance is in a given volume. This concept essentially refers to finding the amount of a solute (in this case, NMP) in a solution (coffee).

Concentration is typically expressed as mass per unit volume, such as milligrams per liter (mg/L). The formula to calculate the amount of solute is straightforward: \[\text{Amount of NMP} = \text{Concentration} \times \text{Volume}\]

From this, you can see that if you know the concentration of a compound and the volume of the solution, you can easily find out how much of that compound is present.
Unit Conversion
Unit conversion is an important skill in chemistry because sometimes measurements are provided in different units than the calculation requires. In the given exercise, the volume of coffee is initially given in fluid ounces, but the concentration of NMP is provided in mg/L, necessitating conversion.

One fluid ounce is approximately 0.0295735 liters. So, to convert from fluid ounces to liters, you multiply the amount in fluid ounces by this conversion factor. For instance: \[\text{Volume in liters} = \text{Volume in fluid ounces} \times 0.0295735\]

This step ensures that all measurements are in compatible units, allowing for accurate calculations.
Chemical Compounds
Chemical compounds are substances formed from two or more elements that are chemically bonded. Each compound has a unique chemical structure and properties. In this exercise, the compound of interest is N-methylpyridinium (NMP).

NMP is a ringed compound that appears in dark-roasted coffee and not in green, unroasted beans. It is notable for potentially reducing stomach acid production, which can be beneficial to frequent coffee drinkers.

Understanding chemical compounds like NMP and their concentrations in various substances can help both in everyday life and in scientific research.

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