Zeroth Law of Thermodynamics
According to this law, two systems in thermal equilibrium with a third system separately are in thermal equilibrium with each other. Thus, if A and B are separately in equilibrium with C, that is
If TA = TC and TB = TC, then
⇒ TA = TB
i.e., the systems A and B are also in thermal equilibrium.
Zeroth Law
First Law of Thermodynamics
- Heat given to a thermodynamic system (ΔQ) is partially utilized in doing work (ΔW) against the surrounding and the remaining part increases the internal energy (ΔU) of the system.
ΔQ = ΔU + ΔW - First law of thermodynamics is a restatement of the principle conservation of energy.
- In an isothermal process, change in internal energy is zero (ΔU = 0), ΔQ = ΔW
- In an adiabatic process, no exchange of heat takes place, i.e., Δθ = O, ΔU = – ΔW
- In an adiabatic process, if gas expands, its internal energy and hence, temperature decreases and vice-versa.
- In an isochoric process, work done is zero, i.e., ΔW = 0, ΔQ = ΔU
Question for Laws of Thermodynamics & Heat Engine
Try yourself:
According to the Zeroth Law of Thermodynamics, two systems that are separately in thermal equilibrium with a third system are also in thermal equilibrium with each other. Which of the following statements best describes this law?Explanation
- According to the Zeroth Law of Thermodynamics, two systems that are separately in thermal equilibrium with a third system are also in thermal equilibrium with each other.
- This means that if two systems, A and B, are each in thermal equilibrium with system C (TA = TC and TB = TC), then they are also in thermal equilibrium with each other (TA = TB).
- The Zeroth Law establishes the concept of temperature and allows for the measurement and comparison of temperatures between different systems.
- It is a fundamental principle in thermodynamics that forms the basis for the definition and understanding of thermal equilibrium.
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Limitations of First Law of Thermodynamics
The first law of thermodynamics is important because it helps determine how much work can be done by transferring a certain amount of heat energy in a thermodynamic process. However, it has some limitations:
- It doesn't specify the direction in which heat will transfer.
- It doesn’t provide any details about the conditions necessary for heat to be transformed into work.
- It doesn't explain why all the heat energy cannot continuously be converted into mechanical work.
Second Law of Thermodynamics
The second law of thermodynamics gives a fundamental limitation to the efficiency of a heat engine and the coefficient of performance of a refrigerator. It says that efficiency of a heat engine can never be unity (or 100%). This implies that heat released to the cold reservoir can never be made zero.
Kelvin’s Statement
It is impossible to obtain a continuous supply of work from a body by cooling it to a temperature below the coldest of its surroundings.
Clausius’ Statement
It is impossible to transfer heat from a lower temperature body to a higher temperature body without use of an external agency.
Planck’s Statement
It is impossible to construct a heat engine that will convert heat completely into work. All these statements are equivalent as one can be obtained from the other.
Entropy
Entropy is a physical quantity that remains constant during a reversible adiabatic change.
Change in entropy is given by dS = δQ / T
where, δQ = heat supplied to the system
and T = absolute temperature.
Entropy of a system never decreases, i.e., dS ≥ 0.
Entropy of a system increases in an irreversible process.
Question for Laws of Thermodynamics & Heat Engine
Try yourself:
Which statement is equivalent to Kelvin's statement of the second law of thermodynamics?Explanation
- Kelvin's statement of the second law of thermodynamics states that it is impossible to obtain a continuous supply of work from a body by cooling it to a temperature below the coldest of its surroundings.
- This means that no heat engine can operate with 100% efficiency, as some heat will always be released to the cold reservoir.
- Option A, "It is impossible to obtain a continuous supply of work from a body by cooling it to a temperature below the coldest of its surroundings," is equivalent to Kelvin's statement.
- Option B, "It is impossible to transfer heat from a lower temperature body to a higher temperature body without the use of an external agency," is Clausius' statement.
- Option C, "It is impossible to construct a heat engine that will convert heat completely into work," is Planck's statement.
- Option D, "The efficiency of a heat engine can never be unity," is a general statement about the efficiency of heat engines.
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Here is the table for significance, limitations and applications for first and second law of thermodynamics:
Heat Engine
A heat energy engine is a device which converts heat energy into mechanical energy.
Heat Engine
- A heat engine consists of three parts:
(i) Source of heat at higher temperature
(ii) Working substance
(iii) Sink of heat at lower temperature - Thermal efficiency of a heat engine is given by
where Q1 is heat absorbed from the source,
Q2 is heat rejected to the sink and T1 and T2 are temperatures of source and sink. - Heat engine are of two types:
(i)External Combustion Engine: In this engine fuel is burnt a chamber outside the main body of the engine. e.g., steam engine. In practical life thermal efficiency of a steam engine varies from 12% to 16%.
(ii)Internal Combustion Engine: In this engine, fuel is burnt inside the main body of the engine. e.g., petrol and diesel engine. In practical life thermal efficiency of a petrol engine is 26% and a diesel engine is 40%.
Example 1:
Example 2:
Question for Laws of Thermodynamics & Heat Engine
Try yourself:
Which type of engine consists of fuel being burnt outside the main body of the engine?Explanation
- An external combustion engine is a type of engine where fuel is burnt in a chamber outside the main body of the engine.
- This type of engine includes examples like the steam engine which operates by burning fuel outside the main engine body.
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