/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 57 In 2008 , about 95.0 billion Ib ... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

In 2008 , about 95.0 billion Ib of sulfuric acid were produced in the United States. Convert this quantity to tons.

Short Answer

Expert verified
The equivalent of 95.0 billion lb in tons is 47.5 million tons

Step by step solution

01

Identify the conversion factor

Identify the conversion factor between the units. In this case, the conversion factor is that 1 ton is equivalent to 2000 lb.
02

Setup the Conversion

Setup the conversion expression by multiplying the given quantity by the conversion factor in such a way that the unwanted unit will cancel out. In this scenario it means that the given quantity (95.0 billion lb) will be multiplied by the fraction (1 ton/2000 lb).
03

Perform the Conversion

Perform the multiplication and division operation to obtain the quantity in tons. Multiply 95.0 billion by 1 ton and divide the result by 2000.

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.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

Key Concepts

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

Conversion Factors
When faced with the task of converting units, such as pounds (lb) to tons, the use of conversion factors is essential. A conversion factor is a ratio that expresses how many of one unit are equivalent to another unit. For instance, we know that 1 ton equals 2000 pounds. This is our conversion factor.

To use a conversion factor, it's simply a matter of setting up a multiplication or division, taking care to arrange the units so that those we want to eliminate will cancel out. In our problem about sulfuric acid production, the conversion factor ensures that pounds will cancel, leaving us with tons—exactly the unit we're looking for.
Dimensional Analysis
Dimensional analysis is the method by which you can convert one unit of measurement into another. This technique involves using conversion factors and arranging them in a way that cancels out the unwanted units, leading to the desired unit of measure.

For example, with sulfuric acid's production weight given in pounds, and the need to find it in tons, we use dimensional analysis to guide us through the conversion. It ensures that each step of the multiplication or division is mathematically sound and that the final units match what we're solving for. This methodological process prevents errors during unit conversion and it's a powerful tool for any chemistry student.
Chemical Production Quantities
Understanding chemical production quantities, like those of sulfuric acid, is vital in the field of chemistry, particularly in industrial applications. It's important to express these quantities in standardized units for consistency and ease of communication. For instance, production volumes are often reported in mass units like pounds or metric tons.

When performing calculations or comparing production levels, having the ability to convert these quantities into a uniform set of units is paramount. This standardization allows chemists and chemical engineers to accurately assess, plan, and scale up or down the production processes. In our exercise, converting the sulfuric acid production from pounds to tons was a practical application of both conversion factors and dimensional analysis in the context of large-scale chemical production.
Sulfuric Acid
Sulfuric acid is one of the most widely produced and used industrial chemicals. It's utilized in various applications, from fertilizer manufacturing to mineral processing, and even in the production of pharmaceuticals. The sheer amount of sulfuric acid produced symbolizes its importance in the global economy.

Due to its ubiquitous nature and broad utility in numerous industrial processes, it is often a focal point in questions regarding stoichiometry and production in educational materials. Its role in exercises is not coincidental but serves to familiarize students with chemicals that have a vast impact on both industrial and economic scales. Learning to quantify such a significant substance's production opens the door to a better understanding of the chemical industry as a whole.

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

(a) Normally the human body can endure a temperature of \(105^{\circ} \mathrm{F}\) for only short periods of time without permanent damage to the brain and other vital organs. What is this temperature in degrees Celsius? (b) Ethylene glycol is a liquid organic compound that is used as an antifreeze in car radiators. It freezes at \(-11.5^{\circ} \mathrm{C}\). Calculate its freezing temperature in degrees Fahrenheit. (c) The temperature on the surface of the sun is about \(6300^{\circ} \mathrm{C}\). What is this temperature in degrees Fahrenheit? (d) The ignition temperature of paper is \(451^{\circ} \mathrm{F}\). What is the temperature in degrees Celsius?

Carry out the following conversions: (a) \(70 \mathrm{~kg}\), the average weight of a male adult, to pounds. (b) 14 billion years (roughly the age of the universe) to seconds. (Assume there are 365 days in a year.) (c) \(7 \mathrm{ft} 6 \mathrm{in},\) the height of the basketball player \(\mathrm{Yao}\) Ming, to meters. (d) \(88.6 \mathrm{~m}^{3}\) to liters.

Chlorine is used to disinfect swimming pools. The accepted concentration for this purpose is 1 ppm chlorine, or \(1 \mathrm{~g}\) of chlorine per million grams of water. Calculate the volume of a chlorine solution (in milliliters) a homeowner should add to her swimming pool if the solution contains 6.0 percent chlorine by mass and there are \(2.0 \times 10^{4}\) gallons of water in the pool. ( 1 gallon \(=3.79 \mathrm{~L} ;\) density of liquids $=1.0 \mathrm{~g} / \mathrm{mL} .

A chemist mixes two liquids \(A\) and \(B\) to form a homogeneous mixture. The densities of the liquids are \(2.0514 \mathrm{~g} / \mathrm{mL}\) for \(\mathrm{A}\) and \(2.6678 \mathrm{~g} / \mathrm{mL}\) for \(\mathrm{B}\). When she drops a small object into the mixture, she finds that the object becomes suspended in the liquid; that is, it neither sinks nor floats. If the mixture is made of 41.37 percent \(A\) and 58.63 percent \(B\) by volume, what is the density of the metal? Can this procedure be used in general to determine the densities of solids? What assumptions must be made in applying this method?

A piece of silver (Ag) metal weighing \(194.3 \mathrm{~g}\) is placed in a graduated cylinder containing \(242.0 \mathrm{~mL}\) of water. The volume of water now reads \(260.5 \mathrm{~mL}\). From these data calculate the density of silver.

See all solutions

Recommended explanations on Chemistry Textbooks

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.