In an NFL game, both teams supply the referees with twelve footballs each, and the gauge pressure of each of these footballs is measured by the referees before the game to ensure they are adequately pressurized. The NFL requires all teams to supply footballs filled to between gauge pressure 12.5 psi to 13.5 psi (pounds per square inch). Some quarterbacks typically enjoy footballs that are somewhat deflated, as it makes the football easier to grip when throwing and catching, even though the football doesn't travel as far due to reduced aerodynamics. Let's do some baseline calculations involving the air inside of the football. The footballs are typically filled indoors at a temperature of 22.0 °C, and the volume of the footballs when filled are around 5580 cm³. This volume doesn't vary much at the pressures we're working with, so we can treat this property as a constant. 1. According to the referees, the Patriots filled their balls to 12.5 psi gauge pressure with little variation. Gauge pressure is the measured pressure inside of a container relative to that of atmospheric pressure. In equation form, Ptot = Pgauge +Patm where prot is the total pressure in the container. If atmospheric pressure (1.00 atm) corresponds to 14.7 psi, what is the total pressure inside of the ball in psi? 2. What is this pressure in atmospheres? 3. How many moles of air are inside the football under these conditions? Be very careful with units!
In an NFL game, both teams supply the referees with twelve footballs each, and the gauge pressure of each of these footballs is measured by the referees before the game to ensure they are adequately pressurized. The NFL requires all teams to supply footballs filled to between gauge pressure 12.5 psi to 13.5 psi (pounds per square inch). Some quarterbacks typically enjoy footballs that are somewhat deflated, as it makes the football easier to grip when throwing and catching, even though the football doesn't travel as far due to reduced aerodynamics. Let's do some baseline calculations involving the air inside of the football. The footballs are typically filled indoors at a temperature of 22.0 °C, and the volume of the footballs when filled are around 5580 cm³. This volume doesn't vary much at the pressures we're working with, so we can treat this property as a constant. 1. According to the referees, the Patriots filled their balls to 12.5 psi gauge pressure with little variation. Gauge pressure is the measured pressure inside of a container relative to that of atmospheric pressure. In equation form, Ptot = Pgauge +Patm where prot is the total pressure in the container. If atmospheric pressure (1.00 atm) corresponds to 14.7 psi, what is the total pressure inside of the ball in psi? 2. What is this pressure in atmospheres? 3. How many moles of air are inside the football under these conditions? Be very careful with units!
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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