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Deriving the Perfect Gas Equation from Gas Laws
Chapter 1, Problem 1.1(choose chapter or problem)
Explain how the perfect gas equation of state arises by combination of Boyle's law, Charles's law, and Avogadro's principle.
Questions & Answers
QUESTION:
Explain how the perfect gas equation of state arises by combination of Boyle's law, Charles's law, and Avogadro's principle.
ANSWER:Step 1 of 2:
Boyle's Law is stated as: At constant temperature, the volume of a fixed amount of gas is inversely proportional to its pressure:
\(V \propto \frac{1}{P}\) .............................(1)
Charles's law is given as: At constant pressure, the volume of a fixed amount of gas is directly proportional to its absolute temperature in kelvins.
\(V \propto T\) ............................................(2)
Avogadro’s law: At constant temperature and pressure, the volume of a fixed amount of gas is directly proportional to the number of moles present in that sample of gas.
\(V \propto n\) ...........................................(3)
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Deriving the Perfect Gas Equation from Gas Laws
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Learn how the ideal gas equation is derived from Boyle's law, Charles’ law, and Avogadro's principle, unraveling the fundamentals of gas behavior.