Formulas: Work done on a gas: Wgas = - PAV First Law of Thermodynamics: AU = Q+ W Idea gas law: PV = nRT, thus, PAV = NRAT Molar specific heat at constant volume: Cv : AU = nCvAt where n is moles 3 R for monatomic gasses, 2 5 R for diatomic gasses 2 The value of Cv is just: 5 R for monatomic gasses, 2 7 for diatomic gasses 2 The value of Cp is just: Joules Where R is the universal gas constant: R = 8.31 mole-Kelvin Molar specific heat at constant pressure: Q = CPAT CP For adiabatic processes: PVY = constant, where Y Cv Work done at constant temperature: W = -nRT In( 1 The First Law and Thermodynamic Processes (Ideal Gases) Process AU Q W Isobaric nC, AT nC, AT -P AV Adiabatic nC, AT Δυ Isovolumetric nC, AT AU Isothermal -W -nRT In 50.00 moles of a monatomic ideal gas increases in volume as shown below. Its final pressure is 4.50 x 105 Pa. Compute the heat energy, Q, that enters the gas during this process. P(10°Pa) 5.00 4.00 3.00 A 2.00 1.00 V(m³ ) 0.200 0.400 0.600

Formulas: Work done on a gas: Wgas = - PAV First Law of Thermodynamics: AU = Q+ W Idea gas law: PV = nRT, thus, PAV = NRAT Molar specific heat at constant volume: Cv : AU = nCvAt where n is moles 3 R for monatomic gasses, 2 5 R for diatomic gasses 2 The value of Cv is just: 5 R for monatomic gasses, 2 7 for diatomic gasses 2 The value of Cp is just: Joules Where R is the universal gas constant: R = 8.31 mole-Kelvin Molar specific heat at constant pressure: Q = CPAT CP For adiabatic processes: PVY = constant, where Y Cv Work done at constant temperature: W = -nRT In( 1 The First Law and Thermodynamic Processes (Ideal Gases) Process AU Q W Isobaric nC, AT nC, AT -P AV Adiabatic nC, AT Δυ Isovolumetric nC, AT AU Isothermal -W -nRT In 50.00 moles of a monatomic ideal gas increases in volume as shown below. Its final pressure is 4.50 x 105 Pa. Compute the heat energy, Q, that enters the gas during this process. P(10°Pa) 5.00 4.00 3.00 A 2.00 1.00 V(m³ ) 0.200 0.400 0.600

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 85P

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