SlideShare a Scribd company logo
Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
First law of thermodynamics
Polytropic process
Isentropic process
Isothermal process
Isobaric process
Isochoric process
Energy (E)
Heat (Q)
๐ป2 โˆ’ ๐ป1
๐ป๐‘” โˆ’ ๐ป๐‘“
= ๐ป๐‘“๐‘”
m*C*ฮ”T
m*Cv*ฮ”T
m*Cp*ฮ”T
แˆถ
๐‘š * H.V
Work (W)
T * ๐œ”
1
2
๐‘˜(x2
2
โˆ’ ๐‘ฅ1
2
)
แˆถ
๐‘Š = ๐‘‰ โˆ— ๐ผ
Internal
Energy (U)
Kinetic Energy
(KE)
1
2
๐‘š๐‘‰2
Potential
Energy (PE)
M*g*z
Moving Flow
Work
P*V
โ–ชPolytropic process
โ–ชIsentropic process
โ–ชIsothermal process
โ–ชIsobaric process
โ–ชIsochoric process
Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
โ–ชPolytropic process
โ–ชIsentropic process
โ–ชIsothermal process
โ–ชIsobaric process
โ–ชIsochoric process
Expansion and compression work is often called moving boundary work
๐’…๐‘พ=๐‘ทร—๐’…๐‘ฝ
Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
P=f(V)
Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
๐‘ท๐‘‰๐‘›=๐‘ช,where n and C are constants. Polytropic process ๐‘ท1V1
๐‘›
= ๐‘ท2V2
๐‘›
Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
(n=๐œธ)
๐‘ท๐‘‰๐‘›=๐‘ช
Polytropic process
Isentropic process
Adiabatic (Q=0) and Reversible (S=C)
๐œธ is the specific heat ratio = ๐‘ช๐’‘/๐‘ช๐’—
Isothermal process
(n=๐Ÿ)
Isobaric process
(n=0)
Isochoric process
(n=โˆž)
P
v
๐‘ƒ๐‘‰ = ๐‘šโ„๐‘‡
Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
Air expanded according to ๐‘ท๐‘‰1.33=๐‘ช from 5 bar, 227โ„ƒ to 1 bar, and then heated at constant
pressure to original temperature.
Determine total work done and amount of heat transferred
Solution
๐‘ท๐‘‰๐‘›=๐‘ช
P
v
1
2 3
๐‘ค๐‘ก๐‘œ๐‘ก๐‘Ž๐‘™ = ๐‘ค1:2 + ๐‘ค2:3
๐‘ƒ๐‘‰ = ๐‘šโ„๐‘‡
0.287
1 kg
๐‘‰2 = ? ?
๐‘‰1 = 0.284 ๐‘š3
๐‘‰3 = 1.421 ๐‘š3
๐‘‡2 = 335 ๐พ = 62 โ„ƒ ๐‘‰2 = 0.952 ๐‘š3
=
โˆ’505 โˆ—0.952+101 โˆ—0.284
1โˆ’1.33
+ 101 1.421 โˆ’ 0.952 = +1417.3 ๐‘˜๐ฝ ๐‘Ž
+47.4 KJ
+1369.9 KJ
๐‘ž๐‘๐‘œ๐‘™=
ฯ’โˆ’๐‘›
ฯ’โˆ’1
* ๐‘ค๐‘๐‘œ๐‘™ +239.5 KJ
๐‘ž๐‘–๐‘ ๐‘œ๐‘๐‘Ž๐‘Ÿ๐‘–๐‘= ๐‘๐‘ โˆ— (๐‘‘๐‘‡ ) +165.825 KJ

More Related Content

More from Ahmed Medhat

4.pdf
4.pdf4.pdf
4.pdf
Ahmed Medhat
ย 
2.pdf
2.pdf2.pdf
2.pdf
Ahmed Medhat
ย 
1.pdf
1.pdf1.pdf
1.pdf
Ahmed Medhat
ย 
9.pdf
9.pdf9.pdf
9.pdf
Ahmed Medhat
ย 
6.pdf
6.pdf6.pdf
6.pdf
Ahmed Medhat
ย 
0.pdf
0.pdf0.pdf
0.pdf
Ahmed Medhat
ย 
Ahmed Medhat Arafa
Ahmed Medhat ArafaAhmed Medhat Arafa
Ahmed Medhat Arafa
Ahmed Medhat
ย 
Ahmed Medhat Arafa resume
Ahmed Medhat Arafa resumeAhmed Medhat Arafa resume
Ahmed Medhat Arafa resume
Ahmed Medhat
ย 
CV Ahmed Medhat_Arafa
CV Ahmed Medhat_ArafaCV Ahmed Medhat_Arafa
CV Ahmed Medhat_Arafa
Ahmed Medhat
ย 
Cv ahmed medhat arafa
Cv ahmed medhat arafaCv ahmed medhat arafa
Cv ahmed medhat arafa
Ahmed Medhat
ย 
MEP Design Project
MEP Design ProjectMEP Design Project
MEP Design Project
Ahmed Medhat
ย 
Resume Ahmed_M_Arafa
Resume Ahmed_M_ArafaResume Ahmed_M_Arafa
Resume Ahmed_M_Arafa
Ahmed Medhat
ย 

More from Ahmed Medhat (12)

4.pdf
4.pdf4.pdf
4.pdf
ย 
2.pdf
2.pdf2.pdf
2.pdf
ย 
1.pdf
1.pdf1.pdf
1.pdf
ย 
9.pdf
9.pdf9.pdf
9.pdf
ย 
6.pdf
6.pdf6.pdf
6.pdf
ย 
0.pdf
0.pdf0.pdf
0.pdf
ย 
Ahmed Medhat Arafa
Ahmed Medhat ArafaAhmed Medhat Arafa
Ahmed Medhat Arafa
ย 
Ahmed Medhat Arafa resume
Ahmed Medhat Arafa resumeAhmed Medhat Arafa resume
Ahmed Medhat Arafa resume
ย 
CV Ahmed Medhat_Arafa
CV Ahmed Medhat_ArafaCV Ahmed Medhat_Arafa
CV Ahmed Medhat_Arafa
ย 
Cv ahmed medhat arafa
Cv ahmed medhat arafaCv ahmed medhat arafa
Cv ahmed medhat arafa
ย 
MEP Design Project
MEP Design ProjectMEP Design Project
MEP Design Project
ย 
Resume Ahmed_M_Arafa
Resume Ahmed_M_ArafaResume Ahmed_M_Arafa
Resume Ahmed_M_Arafa
ย 

Recently uploaded

Hemoglobin metabolism_pathophysiology.pptx
Hemoglobin metabolism_pathophysiology.pptxHemoglobin metabolism_pathophysiology.pptx
Hemoglobin metabolism_pathophysiology.pptx
muralinath2
ย 
(May 29th, 2024) Advancements in Intravital Microscopy- Insights for Preclini...
(May 29th, 2024) Advancements in Intravital Microscopy- Insights for Preclini...(May 29th, 2024) Advancements in Intravital Microscopy- Insights for Preclini...
(May 29th, 2024) Advancements in Intravital Microscopy- Insights for Preclini...
Scintica Instrumentation
ย 
In silico drugs analogue design: novobiocin analogues.pptx
In silico drugs analogue design: novobiocin analogues.pptxIn silico drugs analogue design: novobiocin analogues.pptx
In silico drugs analogue design: novobiocin analogues.pptx
AlaminAfendy1
ย 
GBSN - Biochemistry (Unit 5) Chemistry of Lipids
GBSN - Biochemistry (Unit 5) Chemistry of LipidsGBSN - Biochemistry (Unit 5) Chemistry of Lipids
GBSN - Biochemistry (Unit 5) Chemistry of Lipids
Areesha Ahmad
ย 
Citrus Greening Disease and its Management
Citrus Greening Disease and its ManagementCitrus Greening Disease and its Management
Citrus Greening Disease and its Management
subedisuryaofficial
ย 
extra-chromosomal-inheritance[1].pptx.pdfpdf
extra-chromosomal-inheritance[1].pptx.pdfpdfextra-chromosomal-inheritance[1].pptx.pdfpdf
extra-chromosomal-inheritance[1].pptx.pdfpdf
DiyaBiswas10
ย 
Astronomy Update- Curiosityโ€™s exploration of Mars _ Local Briefs _ leadertele...
Astronomy Update- Curiosityโ€™s exploration of Mars _ Local Briefs _ leadertele...Astronomy Update- Curiosityโ€™s exploration of Mars _ Local Briefs _ leadertele...
Astronomy Update- Curiosityโ€™s exploration of Mars _ Local Briefs _ leadertele...
NathanBaughman3
ย 
platelets- lifespan -Clot retraction-disorders.pptx
platelets- lifespan -Clot retraction-disorders.pptxplatelets- lifespan -Clot retraction-disorders.pptx
platelets- lifespan -Clot retraction-disorders.pptx
muralinath2
ย 
erythropoiesis-I_mechanism& clinical significance.pptx
erythropoiesis-I_mechanism& clinical significance.pptxerythropoiesis-I_mechanism& clinical significance.pptx
erythropoiesis-I_mechanism& clinical significance.pptx
muralinath2
ย 
Circulatory system_ Laplace law. Ohms law.reynaults law,baro-chemo-receptors-...
Circulatory system_ Laplace law. Ohms law.reynaults law,baro-chemo-receptors-...Circulatory system_ Laplace law. Ohms law.reynaults law,baro-chemo-receptors-...
Circulatory system_ Laplace law. Ohms law.reynaults law,baro-chemo-receptors-...
muralinath2
ย 
Leaf Initiation, Growth and Differentiation.pdf
Leaf Initiation, Growth and Differentiation.pdfLeaf Initiation, Growth and Differentiation.pdf
Leaf Initiation, Growth and Differentiation.pdf
RenuJangid3
ย 
RNA INTERFERENCE: UNRAVELING GENETIC SILENCING
RNA INTERFERENCE: UNRAVELING GENETIC SILENCINGRNA INTERFERENCE: UNRAVELING GENETIC SILENCING
RNA INTERFERENCE: UNRAVELING GENETIC SILENCING
AADYARAJPANDEY1
ย 
THE IMPORTANCE OF MARTIAN ATMOSPHERE SAMPLE RETURN.
THE IMPORTANCE OF MARTIAN ATMOSPHERE SAMPLE RETURN.THE IMPORTANCE OF MARTIAN ATMOSPHERE SAMPLE RETURN.
THE IMPORTANCE OF MARTIAN ATMOSPHERE SAMPLE RETURN.
Sรฉrgio Sacani
ย 
Comparing Evolved Extractive Text Summary Scores of Bidirectional Encoder Rep...
Comparing Evolved Extractive Text Summary Scores of Bidirectional Encoder Rep...Comparing Evolved Extractive Text Summary Scores of Bidirectional Encoder Rep...
Comparing Evolved Extractive Text Summary Scores of Bidirectional Encoder Rep...
University of Maribor
ย 
Nucleic Acid-its structural and functional complexity.
Nucleic Acid-its structural and functional complexity.Nucleic Acid-its structural and functional complexity.
Nucleic Acid-its structural and functional complexity.
Nistarini College, Purulia (W.B) India
ย 
filosofia boliviana introducciรณn jsjdjd.pptx
filosofia boliviana introducciรณn jsjdjd.pptxfilosofia boliviana introducciรณn jsjdjd.pptx
filosofia boliviana introducciรณn jsjdjd.pptx
IvanMallco1
ย 
Seminar of U.V. Spectroscopy by SAMIR PANDA
 Seminar of U.V. Spectroscopy by SAMIR PANDA Seminar of U.V. Spectroscopy by SAMIR PANDA
Seminar of U.V. Spectroscopy by SAMIR PANDA
SAMIR PANDA
ย 
The ASGCT Annual Meeting was packed with exciting progress in the field advan...
The ASGCT Annual Meeting was packed with exciting progress in the field advan...The ASGCT Annual Meeting was packed with exciting progress in the field advan...
The ASGCT Annual Meeting was packed with exciting progress in the field advan...
Health Advances
ย 
in vitro propagation of plants lecture note.pptx
in vitro propagation of plants lecture note.pptxin vitro propagation of plants lecture note.pptx
in vitro propagation of plants lecture note.pptx
yusufzako14
ย 
GBSN- Microbiology (Lab 3) Gram Staining
GBSN- Microbiology (Lab 3) Gram StainingGBSN- Microbiology (Lab 3) Gram Staining
GBSN- Microbiology (Lab 3) Gram Staining
Areesha Ahmad
ย 

Recently uploaded (20)

Hemoglobin metabolism_pathophysiology.pptx
Hemoglobin metabolism_pathophysiology.pptxHemoglobin metabolism_pathophysiology.pptx
Hemoglobin metabolism_pathophysiology.pptx
ย 
(May 29th, 2024) Advancements in Intravital Microscopy- Insights for Preclini...
(May 29th, 2024) Advancements in Intravital Microscopy- Insights for Preclini...(May 29th, 2024) Advancements in Intravital Microscopy- Insights for Preclini...
(May 29th, 2024) Advancements in Intravital Microscopy- Insights for Preclini...
ย 
In silico drugs analogue design: novobiocin analogues.pptx
In silico drugs analogue design: novobiocin analogues.pptxIn silico drugs analogue design: novobiocin analogues.pptx
In silico drugs analogue design: novobiocin analogues.pptx
ย 
GBSN - Biochemistry (Unit 5) Chemistry of Lipids
GBSN - Biochemistry (Unit 5) Chemistry of LipidsGBSN - Biochemistry (Unit 5) Chemistry of Lipids
GBSN - Biochemistry (Unit 5) Chemistry of Lipids
ย 
Citrus Greening Disease and its Management
Citrus Greening Disease and its ManagementCitrus Greening Disease and its Management
Citrus Greening Disease and its Management
ย 
extra-chromosomal-inheritance[1].pptx.pdfpdf
extra-chromosomal-inheritance[1].pptx.pdfpdfextra-chromosomal-inheritance[1].pptx.pdfpdf
extra-chromosomal-inheritance[1].pptx.pdfpdf
ย 
Astronomy Update- Curiosityโ€™s exploration of Mars _ Local Briefs _ leadertele...
Astronomy Update- Curiosityโ€™s exploration of Mars _ Local Briefs _ leadertele...Astronomy Update- Curiosityโ€™s exploration of Mars _ Local Briefs _ leadertele...
Astronomy Update- Curiosityโ€™s exploration of Mars _ Local Briefs _ leadertele...
ย 
platelets- lifespan -Clot retraction-disorders.pptx
platelets- lifespan -Clot retraction-disorders.pptxplatelets- lifespan -Clot retraction-disorders.pptx
platelets- lifespan -Clot retraction-disorders.pptx
ย 
erythropoiesis-I_mechanism& clinical significance.pptx
erythropoiesis-I_mechanism& clinical significance.pptxerythropoiesis-I_mechanism& clinical significance.pptx
erythropoiesis-I_mechanism& clinical significance.pptx
ย 
Circulatory system_ Laplace law. Ohms law.reynaults law,baro-chemo-receptors-...
Circulatory system_ Laplace law. Ohms law.reynaults law,baro-chemo-receptors-...Circulatory system_ Laplace law. Ohms law.reynaults law,baro-chemo-receptors-...
Circulatory system_ Laplace law. Ohms law.reynaults law,baro-chemo-receptors-...
ย 
Leaf Initiation, Growth and Differentiation.pdf
Leaf Initiation, Growth and Differentiation.pdfLeaf Initiation, Growth and Differentiation.pdf
Leaf Initiation, Growth and Differentiation.pdf
ย 
RNA INTERFERENCE: UNRAVELING GENETIC SILENCING
RNA INTERFERENCE: UNRAVELING GENETIC SILENCINGRNA INTERFERENCE: UNRAVELING GENETIC SILENCING
RNA INTERFERENCE: UNRAVELING GENETIC SILENCING
ย 
THE IMPORTANCE OF MARTIAN ATMOSPHERE SAMPLE RETURN.
THE IMPORTANCE OF MARTIAN ATMOSPHERE SAMPLE RETURN.THE IMPORTANCE OF MARTIAN ATMOSPHERE SAMPLE RETURN.
THE IMPORTANCE OF MARTIAN ATMOSPHERE SAMPLE RETURN.
ย 
Comparing Evolved Extractive Text Summary Scores of Bidirectional Encoder Rep...
Comparing Evolved Extractive Text Summary Scores of Bidirectional Encoder Rep...Comparing Evolved Extractive Text Summary Scores of Bidirectional Encoder Rep...
Comparing Evolved Extractive Text Summary Scores of Bidirectional Encoder Rep...
ย 
Nucleic Acid-its structural and functional complexity.
Nucleic Acid-its structural and functional complexity.Nucleic Acid-its structural and functional complexity.
Nucleic Acid-its structural and functional complexity.
ย 
filosofia boliviana introducciรณn jsjdjd.pptx
filosofia boliviana introducciรณn jsjdjd.pptxfilosofia boliviana introducciรณn jsjdjd.pptx
filosofia boliviana introducciรณn jsjdjd.pptx
ย 
Seminar of U.V. Spectroscopy by SAMIR PANDA
 Seminar of U.V. Spectroscopy by SAMIR PANDA Seminar of U.V. Spectroscopy by SAMIR PANDA
Seminar of U.V. Spectroscopy by SAMIR PANDA
ย 
The ASGCT Annual Meeting was packed with exciting progress in the field advan...
The ASGCT Annual Meeting was packed with exciting progress in the field advan...The ASGCT Annual Meeting was packed with exciting progress in the field advan...
The ASGCT Annual Meeting was packed with exciting progress in the field advan...
ย 
in vitro propagation of plants lecture note.pptx
in vitro propagation of plants lecture note.pptxin vitro propagation of plants lecture note.pptx
in vitro propagation of plants lecture note.pptx
ย 
GBSN- Microbiology (Lab 3) Gram Staining
GBSN- Microbiology (Lab 3) Gram StainingGBSN- Microbiology (Lab 3) Gram Staining
GBSN- Microbiology (Lab 3) Gram Staining
ย 

13.pdf

  • 1. Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com First law of thermodynamics Polytropic process Isentropic process Isothermal process Isobaric process Isochoric process
  • 2. Energy (E) Heat (Q) ๐ป2 โˆ’ ๐ป1 ๐ป๐‘” โˆ’ ๐ป๐‘“ = ๐ป๐‘“๐‘” m*C*ฮ”T m*Cv*ฮ”T m*Cp*ฮ”T แˆถ ๐‘š * H.V Work (W) T * ๐œ” 1 2 ๐‘˜(x2 2 โˆ’ ๐‘ฅ1 2 ) แˆถ ๐‘Š = ๐‘‰ โˆ— ๐ผ Internal Energy (U) Kinetic Energy (KE) 1 2 ๐‘š๐‘‰2 Potential Energy (PE) M*g*z Moving Flow Work P*V โ–ชPolytropic process โ–ชIsentropic process โ–ชIsothermal process โ–ชIsobaric process โ–ชIsochoric process Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
  • 3. Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com โ–ชPolytropic process โ–ชIsentropic process โ–ชIsothermal process โ–ชIsobaric process โ–ชIsochoric process Expansion and compression work is often called moving boundary work ๐’…๐‘พ=๐‘ทร—๐’…๐‘ฝ
  • 4. Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com P=f(V)
  • 5. Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com ๐‘ท๐‘‰๐‘›=๐‘ช,where n and C are constants. Polytropic process ๐‘ท1V1 ๐‘› = ๐‘ท2V2 ๐‘›
  • 6. Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com (n=๐œธ) ๐‘ท๐‘‰๐‘›=๐‘ช Polytropic process Isentropic process Adiabatic (Q=0) and Reversible (S=C) ๐œธ is the specific heat ratio = ๐‘ช๐’‘/๐‘ช๐’— Isothermal process (n=๐Ÿ) Isobaric process (n=0) Isochoric process (n=โˆž) P v ๐‘ƒ๐‘‰ = ๐‘šโ„๐‘‡
  • 7. Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com Air expanded according to ๐‘ท๐‘‰1.33=๐‘ช from 5 bar, 227โ„ƒ to 1 bar, and then heated at constant pressure to original temperature. Determine total work done and amount of heat transferred Solution ๐‘ท๐‘‰๐‘›=๐‘ช P v 1 2 3 ๐‘ค๐‘ก๐‘œ๐‘ก๐‘Ž๐‘™ = ๐‘ค1:2 + ๐‘ค2:3 ๐‘ƒ๐‘‰ = ๐‘šโ„๐‘‡ 0.287 1 kg ๐‘‰2 = ? ? ๐‘‰1 = 0.284 ๐‘š3 ๐‘‰3 = 1.421 ๐‘š3 ๐‘‡2 = 335 ๐พ = 62 โ„ƒ ๐‘‰2 = 0.952 ๐‘š3 = โˆ’505 โˆ—0.952+101 โˆ—0.284 1โˆ’1.33 + 101 1.421 โˆ’ 0.952 = +1417.3 ๐‘˜๐ฝ ๐‘Ž +47.4 KJ +1369.9 KJ ๐‘ž๐‘๐‘œ๐‘™= ฯ’โˆ’๐‘› ฯ’โˆ’1 * ๐‘ค๐‘๐‘œ๐‘™ +239.5 KJ ๐‘ž๐‘–๐‘ ๐‘œ๐‘๐‘Ž๐‘Ÿ๐‘–๐‘= ๐‘๐‘ โˆ— (๐‘‘๐‘‡ ) +165.825 KJ