Like many commodities, the price of gasoline continues to rise, and these price changes are readily observed in gas stations' signage. Moreover, algebraic methods are well suited to model price change and answer the student's question. Over the course of one ninety-minute block or two forty-five-minute classes, students build functions…

The standard for measuring fuel efficiency in the U.S. has been miles per gallon (mpg). However, the Environmental Protection Agency's (EPA) switch in rating fuel efficiency from miles per gallon to gallons per hundred miles with the 2013 model-year cars leads to interesting and relevant mathematics with real-world connections. By modeling…

Topics commonly taught in a general chemistry course can be used to calculate the quantity of carbon dioxide emitted into the atmosphere by various human activities. Each calculation begins with the balanced chemical equation for the reaction that produces the CO[subscript 2] gas. Stoichiometry, thermochemistry, the ideal gas law, and dimensional…

A methodology for calculating the theoretical and practical specific energies of rechargeable batteries, fuels, and materials is presented. The methodology enables comparison of the energy content of diverse systems such as the lithium-ion battery, hydrocarbons, and ammonia. The methodology is relevant for evaluating the possibility of using…

This article describes an electrical technology experiment that shows students how to determine the cost of using an electrical appliance. The experiment also provides good math practice and teaches basic electricity terms and concepts, such as volt, ampere, watt, kilowatt, and kilowatt-hour. This experiment could be expanded to calculate the cost…

Most high school students are at an age when they are learning to drive. They often want to offer input when their parents decide on what vehicle to purchase, so the activity described in this article should have direct personal interest for them. It allows students to use technology and mathematics to determine the environmental impacts of…

Students will use the first law of thermodynamics to determine the feasibility of using corn ethanol as an alternative to fossil fuels in automobiles. Energy flow is tracked from the Sun, to photosynthesized carbohydrate, to ethanol through fermentation, and finally to work in the combustion engine. Feasibility is gauged by estimating a…

To reach a sustainable world the use of renewable energy sources is imperative. Photovoltaics (PV) is but one of the technologies that use the power of the sun and its deployment is growing very fast. Several master programs have been developed over the world, including Utrecht University, that teach these technologies. Within the framework of a…

We show a new approach, based on the utilization of Mathematica, to solve gas permeation problems using membranes. We start with the design of a membrane unit for the separation of a multicomponent mixture. The built-in Mathematica function, FindRoot, allows one to solve seven simultaneous equations instead of using the iterative approach of…