MULTIPLE REPRESENTATIONS A gas is enclosed in a cubical container with side length s in

Chapter 12, Problem 12.7.34

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MULTIPLE REPRESENTATIONS A gas is enclosed in a cubical container with side length s in centimeters. Its temperature remains constant while the side length varies. By the Ideal Gas Law, the pressure P in atmospheres (atm) of the gas varies inversely with its volume. a. Writing an Equation Write an equation relating P and s. You will need to introduce a constant of variation k. b. Making a Table Copy and complete the table below for various side lengths. Express the pressure P in terms of the constant k. Side length s (cm) 1 }4 1 }2 124 Pressure P (atm) ? 8k k ? ? c. Drawing a Graph For this particular gas, k 5 1. Use your table to sketch a graph of P versus s. Place P on the vertical axis and s on the horizontal axis. Does the graph show a linear relationship? Explain.

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