Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 1: Problem 53

Vanillin (used to flavor vanilla ice cream and other foods) is the substance whose aroma the human nose detects in the smallest amount. The threshold limit is \(2.0 \times 10^{-11} \mathrm{~g}\) per liter of air. If the current price of \(50 \mathrm{~g}\) of vanillin is \(\$ 112,\) determine the cost to supply enough vanillin so that the aroma could be detectable in a large aircraft hangar of volume \(5.0 \times 10^{7} \mathrm{ft}^{3}\)

Short Answer

Expert verified
The cost to supply enough vanillin so that the aroma could be detectable in the aircraft hangar is calculated as explained above, following the given steps.

Step by step solution

01

Convert volume to liters

First, convert the volume of the aircraft hangar from cubic feet to liters. One cubic foot is approximately 28.3168 liters. So, multiply \(5.0 \times 10^{7} \mathrm{~ft}^{3}\) by 28.3168 to get the volume in liters.
02

Determine the amount of vanillin needed

Next, determine the total amount of vanillin needed for it to be detectable in the hangar. Multiply the volume of air in the hangar by the amount of vanillin detectable per liter of air.
03

Calculate cost of vanillin

Then, figure out how much the required amount of vanillin costs. To do this, divide the total cost of 50g of vanillin by 50 gives the cost per gram. Multiply this with the total amount of vanillin (in grams) required to get the total cost.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The price of gold on a certain day in 2004 was \(\$ 315\) per troy ounce. How much did \(1.00 \mathrm{~g}\) of gold cost that day? \((1\) troy ounce \(=31.03 \mathrm{~g} .)\)

A cylindrical glass tube \(12.7 \mathrm{~cm}\) in length is filled with mercury. The mass of mercury needed to fill the tube is found to be \(105.5 \mathrm{~g}\). Calculate the inner diameter of the tube. (The density of mercury \(=13.6 \mathrm{~g} / \mathrm{mL}\).)

Classify each of these as an element or a compound: (a) sodium chloride (table salt), (b) helium, (c) alcohol, (d) platinum.

How many minutes does it take light from the sun to reach Earth? (The distance from the sun to Earth is 93 million mi; the speed of light \(=3.00 \times\) \(\left.10^{8} \mathrm{~m} / \mathrm{s} .\right)\)

A thermometer gives a reading of \(24.2^{\circ} \mathrm{C} \pm 0.1^{\circ} \mathrm{C}\). Calculate the temperature in degrees Fahrenheit. What is the uncertainty?
See all solutions

Recommended explanations on Chemistry Textbooks

Organic Chemistry

Read Explanation

Nuclear Chemistry

Read Explanation

Ionic and Molecular Compounds

Read Explanation

Chemical Analysis

Read Explanation

Kinetics

Read Explanation

Physical Chemistry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free