The document summarizes key concepts from thermodynamics including:
- The Zeroth Law of Thermodynamics states that if two systems are each in thermal equilibrium with a third system, they are in thermal equilibrium with each other.
- The First Law of Thermodynamics states that energy cannot be created or destroyed, only changed in form. For a closed system, the net energy transferred as heat and work equals the net change in internal energy.
- Derivations from the First Law relate internal energy change, enthalpy change, and specific heat capacities for constant volume and constant pressure processes. Relationships between specific heat capacities are also derived for ideal gases.
- Several examples show applying the
this is my presentation about 2nd law of thermodynamic. this is part of engineering thermodynamic in mechanical engineering. here discussed about heat transfer, heat engines, thermal efficiency of heat pumps and refrigerator and its equation for perfect work done with best figure and table wise discription, entropy and change in entropy, isentropic process for turbines and compressor and many more.
this is my presentation about 2nd law of thermodynamic. this is part of engineering thermodynamic in mechanical engineering. here discussed about heat transfer, heat engines, thermal efficiency of heat pumps and refrigerator and its equation for perfect work done with best figure and table wise discription, entropy and change in entropy, isentropic process for turbines and compressor and many more.
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Water scarcity is the lack of fresh water resources to meet the standard water demand. There are two type of water scarcity. One is physical. The other is economic water scarcity.
Hierarchical Digital Twin of a Naval Power SystemKerry Sado
A hierarchical digital twin of a Naval DC power system has been developed and experimentally verified. Similar to other state-of-the-art digital twins, this technology creates a digital replica of the physical system executed in real-time or faster, which can modify hardware controls. However, its advantage stems from distributing computational efforts by utilizing a hierarchical structure composed of lower-level digital twin blocks and a higher-level system digital twin. Each digital twin block is associated with a physical subsystem of the hardware and communicates with a singular system digital twin, which creates a system-level response. By extracting information from each level of the hierarchy, power system controls of the hardware were reconfigured autonomously. This hierarchical digital twin development offers several advantages over other digital twins, particularly in the field of naval power systems. The hierarchical structure allows for greater computational efficiency and scalability while the ability to autonomously reconfigure hardware controls offers increased flexibility and responsiveness. The hierarchical decomposition and models utilized were well aligned with the physical twin, as indicated by the maximum deviations between the developed digital twin hierarchy and the hardware.
Overview of the fundamental roles in Hydropower generation and the components involved in wider Electrical Engineering.
This paper presents the design and construction of hydroelectric dams from the hydrologist’s survey of the valley before construction, all aspects and involved disciplines, fluid dynamics, structural engineering, generation and mains frequency regulation to the very transmission of power through the network in the United Kingdom.
Author: Robbie Edward Sayers
Collaborators and co editors: Charlie Sims and Connor Healey.
(C) 2024 Robbie E. Sayers
Cosmetic shop management system project report.pdfKamal Acharya
Buying new cosmetic products is difficult. It can even be scary for those who have sensitive skin and are prone to skin trouble. The information needed to alleviate this problem is on the back of each product, but it's thought to interpret those ingredient lists unless you have a background in chemistry.
Instead of buying and hoping for the best, we can use data science to help us predict which products may be good fits for us. It includes various function programs to do the above mentioned tasks.
Data file handling has been effectively used in the program.
The automated cosmetic shop management system should deal with the automation of general workflow and administration process of the shop. The main processes of the system focus on customer's request where the system is able to search the most appropriate products and deliver it to the customers. It should help the employees to quickly identify the list of cosmetic product that have reached the minimum quantity and also keep a track of expired date for each cosmetic product. It should help the employees to find the rack number in which the product is placed.It is also Faster and more efficient way.
Student information management system project report ii.pdfKamal Acharya
Our project explains about the student management. This project mainly explains the various actions related to student details. This project shows some ease in adding, editing and deleting the student details. It also provides a less time consuming process for viewing, adding, editing and deleting the marks of the students.
Final project report on grocery store management system..pdfKamal Acharya
In today’s fast-changing business environment, it’s extremely important to be able to respond to client needs in the most effective and timely manner. If your customers wish to see your business online and have instant access to your products or services.
Online Grocery Store is an e-commerce website, which retails various grocery products. This project allows viewing various products available enables registered users to purchase desired products instantly using Paytm, UPI payment processor (Instant Pay) and also can place order by using Cash on Delivery (Pay Later) option. This project provides an easy access to Administrators and Managers to view orders placed using Pay Later and Instant Pay options.
In order to develop an e-commerce website, a number of Technologies must be studied and understood. These include multi-tiered architecture, server and client-side scripting techniques, implementation technologies, programming language (such as PHP, HTML, CSS, JavaScript) and MySQL relational databases. This is a project with the objective to develop a basic website where a consumer is provided with a shopping cart website and also to know about the technologies used to develop such a website.
This document will discuss each of the underlying technologies to create and implement an e- commerce website.
Saudi Arabia stands as a titan in the global energy landscape, renowned for its abundant oil and gas resources. It's the largest exporter of petroleum and holds some of the world's most significant reserves. Let's delve into the top 10 oil and gas projects shaping Saudi Arabia's energy future in 2024.
Governing Equations for Fundamental Aerodynamics_Anderson2010.pdf
First law of thermodynamics
1. Zeroth and First Law
of Thermodynamics
Introduction to Thermodynamics
2. Learning Outcomes
You will
State and explain the Zeroth Law of Thermodynamics
State the First Law of Thermodynamics and derive mathematical
relationship for a closed system
Derive relationships for Internal Energy Change and Enthalpy
Change in terms of specific heat capacitates of the substance and
temperature change
Derive relationship between specific heat capacities, and the
Universal gas constant for ideal gasses
Use First Law of thermodynamics together with ideal gas equation
to solve simple problems
3. Content
Zeroth Law of Thermodynamics
First Law of Thermodynamics
Derivations from First Law
Internal Energy and specific heat capacity under constant volume
Enthalpy and specific heat capacity under constant pressure
Relationship between specific heat capacities for ideal gasses
Examples
4. Zeroth Law of Thermodynamics
Let A, B and C (say is a thermometer) be three systems. If A and B are
separately in thermal equilibrium with C, then A and B are in thermal
equilibrium.
Thermal equilibrium: Two systems are in thermal equilibrium if they
could transfer heat between each other, but don't.
In Thermal
equilibrium
5. Zeroth Law of Thermodynamics
As a consequence of Zeroth law we can conclude that
“Temperature” a property that determines whether an
object is in thermal equilibrium with other objects
Two objects in thermal equilibrium with each other are at
the same temperature
If two objects have different temperatures, they are not in
thermal equilibrium with each other
6. First Law of Thermodynamics
First law of thermodynamics states that energy can neither
be created nor destroyed, it can only change the form.
For a closed system or a fixed mass:
Net energy
transferred to the
system as heat and
work
Net increase in
the total energy
of the system=
8. Example 1
A certain amount of air is compressed in a cylinder. The
change in internal energy of the air is 10kJ. Work required for
the compression is 500kJ. What is the amount of heat
transfer?
UWQ
Work done by the system - Positive
Heat supplied to the system - Positive
kJWUQ 45050010
Sign convention
Heat is rejected
Solution
9. Derivations from First Law
Consider constant pressure process
UWQ
HQ
pVUpVUQ
VVpUUQ
VpUUQ
)()(
)(
1122
1212
12
HTCQ p
Specific heats at constant volume and constant pressure
If Cp is Specific Heat Capacity of the substance;
TmcQ P
10. Derivations from First Law
Consider constant volume process
UWQ
Since there is no work transfer, UQ
If Cv is Specific Heat Capacity of the substance under constant volume ;
TmcQ v
Therefore; UTCQ v
11. Derivations from First Law
pVUH
mRTUH
TmRUH
TmRTCTC vp
mRCC vp
Rcc vp
v
p
c
c
= specific heat ratio
This is equal to 1.4 many adiabatic
process
Specific heat relations for ideal gases
12. Example 2
A 0.6kg copper piece at 100oC is dropped in to an insulated tank
containing 0.75kg of liquid water at 25oC.
Determine the temperature of the system when thermal
equilibrium is reached. Specific heats of copper and water
are:0.393kJ/kgK and 4.184kJ/kgK
For incompressible substances (solids and liquids) cp and cv
take same value
13. Take the copper piece and water as the system. The temperature
after equilibrium is reached is T2.
UWQ
U0
0 wcop UU
0)()( 1212 wwwcopcopcop TTcmTTcm
0)25)(184.4(75.0)100)(393.0(6.0 22 TT
CT o
24.302
Solution
14. Example 3
The temperature of 3.5kg of gas in a container is increased from
22oC to 39oC by heating it. The heat transferred during the process
is 25kJ. Calculate, treating the gas to be a perfect gas,
(a) change in internal energy and
(b) work done
The specific heats ratio and the molar mass of the gas are 1.4 and
28g respectively.
15. UWQ kJQ 25
12
1
TT
mR
TCU v
1
,1
1
mR
C
C
mR
C
mR
C
C
mRCC
v
v
vv
p
vp
)2239(
14.1
)028.0/314.8)(5.3(
1
)/(
12
TT
MRm
U o
kJU 17.44
17.4425 W
kJW 17.19 Minus means work has to be done on the system.
This implies that in order to increase the internal energy by 44.17kJ, 25kJ is not sufficient
Solution
16. Example 4
An insulated cylinder closed at both ends contains free moving
piston. One side of the cylinder is filled with nitrogen, and the other
side with air. Initial pressure and volume of each gas are 1bar and
0.01m3 respectively. The initial temperature is 20oC for both the
gasses.
The air in the cylinder is heated by means of an electrical heater
installed inside the cylinder until the volume occupied by the
nitrogen is reduced to 0.008m3
Find
(a) final temperature of air and
(b) Work done by air
(c) heat added to air
Cv for air is 0.718kJ/kgK and R for air is 0.287kJ/kgK. Adiabatic index for
nitrogen is 1.4
17. Applying ideal gas equation for air state 2 )1.......(222 aaaaa TRmVp
Applying ideal gas equation for air state 1 )2........(111 aaaaa TRmVp
From (1)/(2)
aa
aa
a
a
Vp
Vp
T
T
11
22
1
2
)3........(1
11
22
2 a
aa
aa
a T
Vp
Vp
T
3
111 01.0,29327320,1 mVKTbarp aaa
(a) Final temperature of air
Solution
18. Now find V2a NaNa VVVV 2211
008.001.001.0 2 aV
3
2 012.0 mV a
Now find P2a
Under equilibrium condition , P2a=P2N
NNNN VpVp 2211 Because nitrogen gas undergoes
adiabatic process for which
Polytropic index is 1.4
barbar
V
Vp
p
N
NN
N 367.1
008.0
01.0
)1(
4.1
2
11
2
19. KT a 6.480)293(
)01.0)(1(
)012.0)(367.1(
2
From equation (3) )3........(1
11
22
2 a
aa
aa
a T
Vp
Vp
T
(b) Work done by air
4.11
)01.0)(1()008.0)(367.1(
1
1122
NNNN
N
VpVp
W
kJWN 234.0
kJWa 234.0
20. kJkJWUQ 254.12234.002.16
UWQ
aava
aa
aa
aaav TTc
TR
Vp
TTmcU 12
1
11
12 )(
kJU 02.162936.480)718.0(
)293)(287.0(
)01.0)(10)(01.0( 5
Using first law
(C) Heat added to air
21. Example 5
In a piston cylinder device, 300g of saturated water vapor
maintained at 200kPa is heated by a resistance heater installed
within the cylinder for 10min by passing current of 0.35A from
220V source. The heat loss from the system during the heating
process is 2.2kJ.
Calculate (a) final temperature of the steam
(b) work done
22. )1.....(UWQ
kJVItQE 2.46)600)(35.0)(220(
kJQ 442.22.46
)2)....(( 12 hhmHQ
kgkJh /5.27061
From steam tables, at 200kPa and sat.
vapour. condition
(a) Final temperature
23. )5.2706(3.044),2( 2 hFrom
kgkJh /16.28532
From steam tables, when h2 = 2853.16 at 200kPa
CT o
47.1912
At 200kPa
T h
150 2768.8
T2 h2=2853.16
200 2870.5
8.27685.2870
8.276816.2853
150200
1502
T
24. )( 12 uumU
kgkJu /5.25291
From steam tables, at 200kPa and sat.
vapour. condition
U2 is the internal energy at 200kPa and at
191.47oC
At 200kPa
T u
150 2576.9
191.4
7
u2
200 2654.4
9.25764.2654
9.2576
150200
15047.191 2
u
kgkJu /2.26412
)5.25292.2641(3.0 U
kJU 51.33
From (1)
UWQ
kJW
W
49.10
51.3344
(b) Work done