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The value of n = 1 in the polytropic process indicates it to be
- a)Reversible process
- b)Adiabatic process
- c)Isothermal process
- d)Irreversible process
- e)at a temperature of – 273ºK
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The value ofn= 1 in the polytropic process indicates it to bea)Reversi...
PVγ = constant
is the expression for Polytropic Process where γ is a constant
If γ = 1, PV = constant which is only true for an isothermal process.
Hence option C is correct.
Most Upvoted Answer
The value ofn= 1 in the polytropic process indicates it to bea)Reversi...
**Answer:**
In a polytropic process, the relationship between pressure and volume is given by the equation:
P * V^n = constant
where P is the pressure, V is the volume, and n is the polytropic index. The value of n determines the type of process.
When n = 1, it indicates an **isothermal process**. Let's understand why:
**1. Isothermal Process:**
In an isothermal process, the temperature remains constant. This means that the internal energy of the system remains constant throughout the process. As a result, the heat transfer into or out of the system must be equal to the work done by or on the system.
In a polytropic process, when n = 1, the equation becomes:
P * V = constant
This equation is the same as the equation for an isothermal process. This indicates that the process is isothermal, with constant temperature.
**2. Reversible vs Irreversible Process:**
The value of n does not directly indicate whether the process is reversible or irreversible. The reversibility of a process depends on factors such as the absence of friction, negligible heat transfer, and infinitely slow changes. The value of n only determines the relationship between pressure and volume.
**3. Adiabatic Process:**
An adiabatic process is one in which there is no heat transfer into or out of the system. The value of n for an adiabatic process can vary, and it does not necessarily have to be equal to 1. Therefore, we cannot conclude that the process with n = 1 is adiabatic.
**Conclusion:**
Based on the given options, the correct answer is option 'C' - Isothermal process. When n = 1 in a polytropic process, it indicates that the process is isothermal, with constant temperature.
In a polytropic process, the relationship between pressure and volume is given by the equation:
P * V^n = constant
where P is the pressure, V is the volume, and n is the polytropic index. The value of n determines the type of process.
When n = 1, it indicates an **isothermal process**. Let's understand why:
**1. Isothermal Process:**
In an isothermal process, the temperature remains constant. This means that the internal energy of the system remains constant throughout the process. As a result, the heat transfer into or out of the system must be equal to the work done by or on the system.
In a polytropic process, when n = 1, the equation becomes:
P * V = constant
This equation is the same as the equation for an isothermal process. This indicates that the process is isothermal, with constant temperature.
**2. Reversible vs Irreversible Process:**
The value of n does not directly indicate whether the process is reversible or irreversible. The reversibility of a process depends on factors such as the absence of friction, negligible heat transfer, and infinitely slow changes. The value of n only determines the relationship between pressure and volume.
**3. Adiabatic Process:**
An adiabatic process is one in which there is no heat transfer into or out of the system. The value of n for an adiabatic process can vary, and it does not necessarily have to be equal to 1. Therefore, we cannot conclude that the process with n = 1 is adiabatic.
**Conclusion:**
Based on the given options, the correct answer is option 'C' - Isothermal process. When n = 1 in a polytropic process, it indicates that the process is isothermal, with constant temperature.
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The value ofn= 1 in the polytropic process indicates it to bea)Reversi...
Pv¹=c is equal to p1v1=p2v2=c... which is equation for isothermal process....
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The value ofn= 1 in the polytropic process indicates it to bea)Reversible processb)Adiabatic processc)Isothermal processd)Irreversible processe)at a temperature of – 273ºKCorrect answer is option 'C'. Can you explain this answer?
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