A canister with a piston contains 1.05 kg of air at 30.0°C and 1.25 x 105 Pa. Energy is transferred by heat into the system as it expands and the pressure rises to 4.25 x 10 Pa. Throughout the expansion, the relationship between pressure and volume is given by P = c1/2) where Cis a constant. Air may be modeled as a diatomic ideal gas with a molar mass of M = 28.9 g/mol. Determine the following. (a) initial volume (in m3) 0.01477 The ideal gas law may be used to describe the air in any state. Since we want the initial volume, we should use the pressure and temperature for the initial state. How can you determine the number of moles of air from the total mass and the molar mass? m (b) final volume (in m3) m3 (c) final temperature (in K)

A canister with a piston contains 1.05 kg of air at 30.0°C and 1.25 x 105 Pa. Energy is transferred by heat into the system as it expands and the pressure rises to 4.25 x 10 Pa. Throughout the expansion, the relationship between pressure and volume is given by P = c1/2) where Cis a constant. Air may be modeled as a diatomic ideal gas with a molar mass of M = 28.9 g/mol. Determine the following. (a) initial volume (in m3) 0.01477 The ideal gas law may be used to describe the air in any state. Since we want the initial volume, we should use the pressure and temperature for the initial state. How can you determine the number of moles of air from the total mass and the molar mass? m (b) final volume (in m3) m3 (c) final temperature (in K)

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter21: Heat And The First Law Of Thermodynamics

Section: Chapter Questions

Problem 76PQ

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