Answered: Suppose you double the pressure of an…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter20: Kinetic Theory Of Gases

Section: Chapter Questions

Problem 2PQ

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Question

Suppose you double the pressure of an ideal gas, where the temperature is kept Constant. Use the ideal gas law to solve for the new volume. What can you conclude About the volume? Does it increase or decrease?

Definition Definition Any of various laws that describe the ways in which volume, temperature, pressure, and other conditions correlate when matter is in a gaseous state. At a constant temperature, the pressure of a particular amount of gas is inversely proportional with its volume (Boyle's Law) In a closed system with constant pressure, the volume of an ideal gas is in direct relation with its temperature (Charles's Law) At a constant volume, the pressure of a gas is in direct relation to its temperature (Gay-Lussac's Law) If the volume of all gases are equal and under the a similar temperature and pressure, then they contain an equal number of molecules (Avogadro's Law) The state of a particular amount of gas can be determined by its pressure, volume and temperature (Ideal Gas law)

Expert Solution

Step 1

The initial pressure of the gas is,

$P_{1} = P$

The final pressure of the gas is,

$P_{2} = 2 P$

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