Explore 11-1: Graphing Technology Lab Inverse Variation 1. Does the pressure vary directly as the volume? Explain. Sample answer: The pressure decreases by about half. 3. Predict what the pressure of the gas in the syringe would be if the volume increased to 40 mL. SOLUTION: SOLUTION: Sample answer: 0.48 The pressure increases as the volume decreases. 2. As the volume changes from 10 to 20 mL, what happens to the pressure? SOLUTION: 4. Add a column to the data table to find the product of the volume and the pressure for each data reading. What pattern do you observe? SOLUTION: Sample answer: The pressure decreases by about half. Sample answer: The product is close to constant. 3. Predict what the pressure of the gas in the syringe would be if the volume increased to 40 mL. SOLUTION: eSolutions Manual - Powered by Cognero 5. MAKE A CONJECTURE The relationship between the pressure and volume of a gas is called Boyle’s Law. Write an equation relating the volume v in milliliters and pressure p in atmospheres in your experiment. Compare your conjecture to two classmates’. Formulate mathematical questions about their conjectures. SOLUTION: Sample answer: pv = 18; see students’ work. Page 1 Explore 11-1: Graphing Technology Lab Inverse Variation Sample answer: The product is close to constant. 5. MAKE A CONJECTURE The relationship between the pressure and volume of a gas is called Boyle’s Law. Write an equation relating the volume v in milliliters and pressure p in atmospheres in your experiment. Compare your conjecture to two classmates’. Formulate mathematical questions about their conjectures. SOLUTION: Sample answer: pv = 18; see students’ work. eSolutions Manual - Powered by Cognero Page 2
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