Identify the nature of the paths A, B, C, D in the figure below as isobaric, isothermal, isovolumetric, or adiabatic. For path B. Q = 0. MOST IMPORTANT: Explain your choices clearly and in detail. D A - T2 B T3 – T3 T4

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Identify the nature of the paths A, B, C, D in the figure below as isobaric,
isothermal, isovolumetric, or adiabatic. For path B. Q = 0. MOST IMPORTANT:
Explain your choices clearly and in detail.
D
T2
- T3
T4
B
Transcribed Image Text:Identify the nature of the paths A, B, C, D in the figure below as isobaric, isothermal, isovolumetric, or adiabatic. For path B. Q = 0. MOST IMPORTANT: Explain your choices clearly and in detail. D T2 - T3 T4 B
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
Transcribed Image Text: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
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