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150L of nitrogen gas expands adiabatically starting at a pressure of 1 atm and the final volume is 250 L, what is the final pressure?

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: Temperature

Section: Chapter Questions

Problem 19.66AP: (a) Show that the density of an ideal gas occupying a volume V is given by = PM/KT, where M is the...

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Concept explainers

First law of Thermodynamics

The word thermodynamics consists of two words: thermo- and dynamics. Dynamics means the study of motion. The field of thermodynamics is all about the study of the movement of heat. In a more meaningful way, it is stated as the study of the transfer of energy. Energy transfer is something that we encounter in day-to-day life. Automobiles, chemical reactions, refrigerators, and power generators work on the basis of thermodynamic principles.

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150L of nitrogen gas expands adiabatically starting at a pressure of 1 atm and the
final volume is 250 L, what is the final pressure?

Expert Solution

Step 1

$Initial volume of nitrogen gas (V_{o}) = 150 L Initial pressure of nitrogen gas (P_{o}) = 1 a t m Final volume of nitrogen gas (V) = 250 L Final pressure of nitrogen gas (P) = ? ? a t m Value of specific heat ratio (γ) for a diatomic gas like nitrogen gas = 1.40$

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