Question

What is $\Delta U$ in the adiabatic process?

Answer 1

Hint: Adiabatic is a process in which no heat is moved into or out of a system, and only works used to change the internal energy. That is frequently done in an insulated container, where the process is too fast for heat to transfer. Because heat transfers when there is a temperature difference between a system and its surroundings, an adiabatic process can occur even when the system is in thermal equilibrium.

Complete step-by-step solution:
Thermodynamically, an adiabatic process is one in which no heat is exchanged between the system and its surroundings, neither during expansion nor compression.
For adiabatic process, \[q = 0\]
Therefore, as per the first law of thermodynamics,
\[\Delta U = W\]
An adiabatic work equals $\Delta U$.
Internal energy \[U\]:
\[{\text{ }}kinetic{\text{ }}energies{\text{ }}of{\text{ }}all{\text{ }}constituent{\text{ }}particles{\text{ }} + {\text{ }}potential{\text{ }}energies{\text{ }}of{\text{ }}particle - particle{\text{ }}interactions\]

	work done by the system \[\left( W \right)\]	heat into the system \[\left( Q \right)\]	$\Delta U$
Adiabatic: \[Q = 0\]	\[ - n{C_V}\Delta T\]	0	\[n{C_V}\Delta T\]

Additional information:
Since \[U\] is a function of temperature and volume, in an isothermal process, the temperature is constant, so \[U = 0\]; in an isochoric process, the volume is constant, so \[U = 0\]; and in a cyclic process, the system returns to its initial state after one complete cycle, so \[U = 0\] .

 Note:
Example of an Adiabatic Process:
There are various examples, some of which are listed below:
It is a technique in which gas is compressed and heat is produced. The release of air from a pneumatic tire is one of the most basic instances.
Adiabatic Efficiency is used to describe the efficiency of devices like nozzles, compressors, and turbines. One of the many good uses for the adiabatic process.
One example is a pendulum oscillating on a vertical plane.
An adiabatic system can also be a quantum harmonic oscillator.
When we place ice in the icebox, there is no heat loss and no heat gain.