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Which of the following statements are true for a polytropic process.
[n < γ]
[n < γ]
- a)When heat is supplied, there is increase in internal energy
- b)When heat is supplied, there is a reduction in internal energy
- c)Work transfer is equal to heat transfer.
- d)A part of energy supplied as heat is consumed as work transfer and rest is stored as internal energy.
Correct answer is option 'D'. Can you explain this answer?
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Which of the following statements are true for a polytropic process.[n...
In a polytropic process, the relationship between pressure and volume is given by the equation:
PV^n = constant
where P is pressure, V is volume, and n is the polytropic index. γ (gamma) is the heat capacity ratio (Cp/Cv), which is a property of the working fluid.
When n < γ, the following statement is true:
A part of energy supplied as heat is consumed as work transfer and rest is stored as internal energy.
Here's a detailed explanation:
PV^n = constant
where P is pressure, V is volume, and n is the polytropic index. γ (gamma) is the heat capacity ratio (Cp/Cv), which is a property of the working fluid.
When n < γ, the following statement is true:
A part of energy supplied as heat is consumed as work transfer and rest is stored as internal energy.
Here's a detailed explanation:
- In a polytropic process, the heat transfer (Q), work transfer (W), and change in internal energy (ΔU) are related by the first law of thermodynamics: Q = ΔU + W.
- When n < γ, the process is more isothermal (constant temperature) than adiabatic (no heat transfer). In such a process, when heat is supplied, the working fluid expands, and the volume increases.
- As the fluid expands, a part of the energy supplied as heat is used to perform work on the surroundings (work transfer).
- The remaining part of the energy supplied as heat contributes to the increase in internal energy of the system. This increase in internal energy is due to the increase in the kinetic energy and potential energy of the molecules.
- In summary, when n < γ in a polytropic process, a part of the energy supplied as heat is consumed as work transfer, and the rest is stored as internal energy.
This explanation confirms that option (d) is the correct answer.
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Which of the following statements are true for a polytropic process.[n...
for polytropic process cp poly comes -ve which means the work transfer exceed the heat transfer so statement B is correct
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Which of the following statements are true for a polytropic process.[n < γ]a)When heat is supplied, there is increase in internal energyb)When heat is supplied, there is a reduction in internal energyc)Work transfer is equal to heat transfer.d)A part of energy supplied as heat is consumed as work transfer and rest is stored as internal energy.Correct answer is option 'D'. Can you explain this answer?
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