Answered: The ideal gas law states that a gas’s…

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

Chapter14: Fluid Mechanics

Section: Chapter Questions

Problem 14.39P: How many cubic meters of helium are required to lift a light balloon with a 400-kg payload to a...

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The ideal gas law states that a gas’s pressure ?([kg]/[m][s]^2) depends upon its volume ? ([m]^3), amount of substance ? ([mol]), temperature ? ([K]), and the ideal gas constant ?.

If the fundamental dimensions of ? is given by,
?: [kg] [m]^2 [K]^−1 [mol]^−1 [s]^−2

obtain the ideal gas law by performing dimensional analysis. Properly define variables used

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)

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