Chemistry Exam > Chemistry Questions > An ideal gas in an initial state (P1,V1,T1) c...
Start Learning for Free
An ideal gas in an initial state (P1,V1,T1) converted into final State (P2,V2,T1) through isothermal reversible process (pathA). The final State can also be achieved by path (B C). Path B ia an reversible adiabatic process to form an intermediate state (P3,V2,T2)?
Most Upvoted Answer
An ideal gas in an initial state (P1,V1,T1) converted into final State...
Introduction
The given problem involves the conversion of an ideal gas from an initial state to a final state through two different paths. The first path is an isothermal reversible process, and the second path involves a reversible adiabatic process followed by an isochoric process.
Path A: Isothermal Reversible Process
The isothermal reversible process involves maintaining the temperature of the gas constant throughout the process. This is achieved by allowing the gas to expand or contract in such a way that the pressure and volume are inversely proportional. The work done by the gas in this process is given by the equation:
W = nRT ln(V2/V1)
where n is the number of moles of the gas, R is the gas constant, T is the temperature, V1 is the initial volume, and V2 is the final volume.
Path B: Reversible Adiabatic Process
The reversible adiabatic process involves maintaining the gas at a constant entropy. This is achieved by allowing the gas to expand or contract in such a way that the pressure and volume are related by the equation:
P(V/T)γ = constant
where γ is the ratio of specific heats of the gas. The work done by the gas in this process is given by the equation:
W = (γ/γ-1)P1(V2/V1)γ - P1V1/(γ-1)
The final state of the gas can be achieved by following this path by first allowing the gas to expand adiabatically to an intermediate state (P3, V2, T2), followed by an isochoric process to reach the final state (P2, V2, T1).
Conclusion
In conclusion, the given problem involves the conversion of an ideal gas from an initial state to a final state through two different paths. The first path is an isothermal reversible process, and the second path involves a reversible adiabatic process followed by an isochoric process. Both paths result in the same final state of the gas, and the work done by the gas can be calculated using the appropriate equations.
The given problem involves the conversion of an ideal gas from an initial state to a final state through two different paths. The first path is an isothermal reversible process, and the second path involves a reversible adiabatic process followed by an isochoric process.
Path A: Isothermal Reversible Process
The isothermal reversible process involves maintaining the temperature of the gas constant throughout the process. This is achieved by allowing the gas to expand or contract in such a way that the pressure and volume are inversely proportional. The work done by the gas in this process is given by the equation:
W = nRT ln(V2/V1)
where n is the number of moles of the gas, R is the gas constant, T is the temperature, V1 is the initial volume, and V2 is the final volume.
Path B: Reversible Adiabatic Process
The reversible adiabatic process involves maintaining the gas at a constant entropy. This is achieved by allowing the gas to expand or contract in such a way that the pressure and volume are related by the equation:
P(V/T)γ = constant
where γ is the ratio of specific heats of the gas. The work done by the gas in this process is given by the equation:
W = (γ/γ-1)P1(V2/V1)γ - P1V1/(γ-1)
The final state of the gas can be achieved by following this path by first allowing the gas to expand adiabatically to an intermediate state (P3, V2, T2), followed by an isochoric process to reach the final state (P2, V2, T1).
Conclusion
In conclusion, the given problem involves the conversion of an ideal gas from an initial state to a final state through two different paths. The first path is an isothermal reversible process, and the second path involves a reversible adiabatic process followed by an isochoric process. Both paths result in the same final state of the gas, and the work done by the gas can be calculated using the appropriate equations.
|
Explore Courses for Chemistry exam
|
|
An ideal gas in an initial state (P1,V1,T1) converted into final State (P2,V2,T1) through isothermal reversible process (pathA). The final State can also be achieved by path (B C). Path B ia an reversible adiabatic process to form an intermediate state (P3,V2,T2)?
Question Description
An ideal gas in an initial state (P1,V1,T1) converted into final State (P2,V2,T1) through isothermal reversible process (pathA). The final State can also be achieved by path (B C). Path B ia an reversible adiabatic process to form an intermediate state (P3,V2,T2)? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about An ideal gas in an initial state (P1,V1,T1) converted into final State (P2,V2,T1) through isothermal reversible process (pathA). The final State can also be achieved by path (B C). Path B ia an reversible adiabatic process to form an intermediate state (P3,V2,T2)? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An ideal gas in an initial state (P1,V1,T1) converted into final State (P2,V2,T1) through isothermal reversible process (pathA). The final State can also be achieved by path (B C). Path B ia an reversible adiabatic process to form an intermediate state (P3,V2,T2)?.
An ideal gas in an initial state (P1,V1,T1) converted into final State (P2,V2,T1) through isothermal reversible process (pathA). The final State can also be achieved by path (B C). Path B ia an reversible adiabatic process to form an intermediate state (P3,V2,T2)? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about An ideal gas in an initial state (P1,V1,T1) converted into final State (P2,V2,T1) through isothermal reversible process (pathA). The final State can also be achieved by path (B C). Path B ia an reversible adiabatic process to form an intermediate state (P3,V2,T2)? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An ideal gas in an initial state (P1,V1,T1) converted into final State (P2,V2,T1) through isothermal reversible process (pathA). The final State can also be achieved by path (B C). Path B ia an reversible adiabatic process to form an intermediate state (P3,V2,T2)?.
Solutions for An ideal gas in an initial state (P1,V1,T1) converted into final State (P2,V2,T1) through isothermal reversible process (pathA). The final State can also be achieved by path (B C). Path B ia an reversible adiabatic process to form an intermediate state (P3,V2,T2)? in English & in Hindi are available as part of our courses for Chemistry.
Download more important topics, notes, lectures and mock test series for Chemistry Exam by signing up for free.
Here you can find the meaning of An ideal gas in an initial state (P1,V1,T1) converted into final State (P2,V2,T1) through isothermal reversible process (pathA). The final State can also be achieved by path (B C). Path B ia an reversible adiabatic process to form an intermediate state (P3,V2,T2)? defined & explained in the simplest way possible. Besides giving the explanation of
An ideal gas in an initial state (P1,V1,T1) converted into final State (P2,V2,T1) through isothermal reversible process (pathA). The final State can also be achieved by path (B C). Path B ia an reversible adiabatic process to form an intermediate state (P3,V2,T2)?, a detailed solution for An ideal gas in an initial state (P1,V1,T1) converted into final State (P2,V2,T1) through isothermal reversible process (pathA). The final State can also be achieved by path (B C). Path B ia an reversible adiabatic process to form an intermediate state (P3,V2,T2)? has been provided alongside types of An ideal gas in an initial state (P1,V1,T1) converted into final State (P2,V2,T1) through isothermal reversible process (pathA). The final State can also be achieved by path (B C). Path B ia an reversible adiabatic process to form an intermediate state (P3,V2,T2)? theory, EduRev gives you an
ample number of questions to practice An ideal gas in an initial state (P1,V1,T1) converted into final State (P2,V2,T1) through isothermal reversible process (pathA). The final State can also be achieved by path (B C). Path B ia an reversible adiabatic process to form an intermediate state (P3,V2,T2)? tests, examples and also practice Chemistry tests.
|
|
Explore Courses for Chemistry exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup