Question

For the process to occur under adiabatic conditions, the correct condition is:

• A. ∆T = 0
• B. ∆p = 0
• C. q = 0
• D. w = 0

Answer 1

The Correct Option is C

To determine the correct condition for a process occurring under adiabatic conditions, we need to understand the concept of an adiabatic process in thermodynamics.

An adiabatic process is defined as one in which no heat is transferred to or from the system. This means that during an adiabatic process, the heat exchanged, \( q \), between the system and its surroundings is zero.

Let's analyze each option to determine why \( q = 0 \) is the correct choice:

1. ∆T = 0: This condition represents an isothermal process, where the temperature remains constant. In an adiabatic process, the temperature can change, so this is incorrect.
2. ∆p = 0: This condition indicates an isobaric process, where the pressure remains constant. It is not a requirement for an adiabatic process, hence incorrect.
3. q = 0: This is the defining condition of an adiabatic process, as no heat is exchanged. This is the correct answer.
4. w = 0: This represents a process with no work done, which is characteristic of a free expansion, not necessarily adiabatic. Thus, it is incorrect for our purpose.

Therefore, the correct condition for an adiabatic process is q = 0.