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When an ideal gas with constant specific heats is throttled adiabatically, with negligible changes in kinetic and potential energies.
[2000]
- a)Δh = 0, ΔT = 0
- b)Δh > 0, ΔT= 0
- c)Δh > 0, ΔS > 0
- d)Δh = 0, ΔS > 0
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
When an ideal gas with constant specific heats is throttled adiabatica...
Δh = 0, ΔT = 0
Throttling is known as is isenthalpic process and as for ideal gas H = f(T)
Throttling is known as is isenthalpic process and as for ideal gas H = f(T)
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When an ideal gas with constant specific heats is throttled adiabatica...
Δh = 0, ΔT = 0
Throttling is known as is isenthalpic process and as for ideal gas H = f(T)
Throttling is known as is isenthalpic process and as for ideal gas H = f(T)
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Community Answer
When an ideal gas with constant specific heats is throttled adiabatica...
When an ideal gas with constant specific heats is throttled adiabatically, with negligible changes in kinetic and potential energies, the process is known as an isentropic process.
In an isentropic process, the gas undergoes a rapid expansion or compression, resulting in a decrease or increase in its pressure and temperature. The throttling process involves a sudden decrease in the pressure of the gas without any heat transfer to or from the surroundings.
During the adiabatic throttling process, the gas expands or compresses so quickly that there is no time for heat to be transferred in or out of the system. This means that the process is internally reversible and the entropy remains constant (hence the name "isentropic").
The specific heats of the ideal gas remain constant during the throttling process, meaning that the gas does not exchange heat with its surroundings. This allows us to use the equation for isentropic processes:
\(\frac{T_1}{T_2} = \left(\frac{P_1}{P_2}\right)^{\frac{R}{C_p}}\)
Where:
\(T_1\) and \(T_2\) are the initial and final temperatures of the gas, respectively,
\(P_1\) and \(P_2\) are the initial and final pressures of the gas, respectively,
\(R\) is the specific gas constant, and
\(C_p\) is the specific heat capacity at constant pressure.
In this case, the negligible changes in kinetic and potential energies mean that the initial and final velocities and heights of the gas molecules are approximately the same. This allows us to neglect the changes in kinetic and potential energies in our calculations.
Overall, when an ideal gas with constant specific heats is throttled adiabatically, with negligible changes in kinetic and potential energies, the process is isentropic and can be analyzed using the equation for isentropic processes.
In an isentropic process, the gas undergoes a rapid expansion or compression, resulting in a decrease or increase in its pressure and temperature. The throttling process involves a sudden decrease in the pressure of the gas without any heat transfer to or from the surroundings.
During the adiabatic throttling process, the gas expands or compresses so quickly that there is no time for heat to be transferred in or out of the system. This means that the process is internally reversible and the entropy remains constant (hence the name "isentropic").
The specific heats of the ideal gas remain constant during the throttling process, meaning that the gas does not exchange heat with its surroundings. This allows us to use the equation for isentropic processes:
\(\frac{T_1}{T_2} = \left(\frac{P_1}{P_2}\right)^{\frac{R}{C_p}}\)
Where:
\(T_1\) and \(T_2\) are the initial and final temperatures of the gas, respectively,
\(P_1\) and \(P_2\) are the initial and final pressures of the gas, respectively,
\(R\) is the specific gas constant, and
\(C_p\) is the specific heat capacity at constant pressure.
In this case, the negligible changes in kinetic and potential energies mean that the initial and final velocities and heights of the gas molecules are approximately the same. This allows us to neglect the changes in kinetic and potential energies in our calculations.
Overall, when an ideal gas with constant specific heats is throttled adiabatically, with negligible changes in kinetic and potential energies, the process is isentropic and can be analyzed using the equation for isentropic processes.
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When an ideal gas with constant specific heats is throttled adiabatically, with negligible changes in kinetic and potential energies.[2000]a)Δh = 0, ΔT = 0 b)Δh > 0, ΔT= 0c)Δh > 0, ΔS > 0d)Δh = 0, ΔS > 0Correct answer is option 'A'. Can you explain this answer?
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