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In an adiabatic process, no transfer of heat takes place between system and surroundings.
Choose the correct option for free expansion of an ideal gas under adiabatic condition from the following.
  • a)
    q = 0, ΔT ≠ 0, w = 0
  • b)
    q ≠ 0, ΔT = 0, w = 0
  • c)
    q = 0, ΔT = 0, w = 0
  • d)
    q = 0, ΔT < 0,="" w="" ≠="" />
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In an adiabatic process, no transfer of heat takes place between syst...
Justification: free expansion w = 0
adiabatic process q = 0
ΔU = q + w = 0, this means that internal energy remains constant. Therefore,
ΔT = G.
Free Test
Community Answer
In an adiabatic process, no transfer of heat takes place between syst...
Adiabatic Process
An adiabatic process is a thermodynamic process in which no transfer of heat takes place between the system and its surroundings. This means that the system is insulated and isolated from any external sources of heat or cold.

Free Expansion of an Ideal Gas
Free expansion of an ideal gas is a process in which the gas expands into a vacuum without any external work being done on or by the gas. In this process, the gas is allowed to expand freely, with no restriction or confinement.

Options for Free Expansion of an Ideal Gas under Adiabatic Conditions
Let's analyze the given options:

a) q = 0, ΔT ≠ 0, w = 0
This option states that there is no transfer of heat (q = 0) and no work done (w = 0) in the free expansion of the gas. However, it also states that there is a change in temperature (ΔT ≠ 0), which is incorrect. In an adiabatic process, there is no heat transfer, so the temperature does not change.

b) q ≠ 0, ΔT = 0, w = 0
This option states that there is a transfer of heat (q ≠ 0) but no change in temperature (ΔT = 0) or work done (w = 0). This is incorrect because in an adiabatic process, there is no transfer of heat (q = 0).

c) q = 0, ΔT = 0, w = 0
This option correctly states that there is no transfer of heat (q = 0), no change in temperature (ΔT = 0), and no work done (w = 0) in the free expansion of the gas under adiabatic conditions. This is the correct option.

d) q = 0, ΔT
This option states that there is no transfer of heat (q = 0) and only mentions a change in temperature (ΔT). It does not provide any information about the work done (w). Therefore, it is an incomplete option and cannot be considered as the correct answer.

Conclusion
The correct option for free expansion of an ideal gas under adiabatic conditions is option 'c' which states that there is no transfer of heat (q = 0), no change in temperature (ΔT = 0), and no work done (w = 0).
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In an adiabatic process, no transfer of heat takes place between system and surroundings.Choose the correct option for free expansion of an ideal gas under adiabatic condition from the following.a)q = 0, ΔT ≠ 0, w = 0b)q ≠ 0, ΔT = 0, w = 0c)q = 0, ΔT = 0, w = 0d)q = 0, ΔT Correct answer is option 'C'. Can you explain this answer?
Question Description
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