How do you calculate work done in adiabatic irreversible process?

1 Answer

1. Work done in case of adiabatic process is expressed as −nCvδT.
2. Where, δT is the change in temperature.
3. So, T2=168.70K.
4. hence, δT=(300−168.70)=131.3K.
5. So,we get, f=6.
6. Now, Cv=(f2)R=3R.
7. −nCvδT=−2⋅3R⋅131.3=−787.8R.

What is the work done in an irreversible process?

In an irreversible compression the work done by the surroundings on the system is larger than in a reversible compression between the same states. than the pV-work done in a reversible process between the same initial and final state. reversible compression between the same states.

What is the work done in adiabatic reversible process?

Let us calculate the work done by a mole of an ideal gas in a reversible adiabatic expansion from (P1 , V1) to (P2 , V2): W=∫V2V1PdV. (Note that T2 < T1 in this adiabatic expansion.) Compare this with equation 8.3.

What is a irreversible adiabatic process?

Adiabatic free expansion of a gas For an ideal gas, the temperature remains constant because the internal energy only depends on temperature in that case. Since at constant temperature, the entropy is proportional to the volume, the entropy increases in this case, therefore this process is irreversible.

Can an isothermal process be irreversible?

Isothermal expansion can surely be irreversible if you make it so. In fact, any process is usually at least a bit irreversible, and truly 100% reversible processes are impossible.

What is the difference between reversible and irreversible process?

A reversible process is a change that can be retraced in a reverse (opposite) direction. An irreversible process is a change that cannot be retraced in a reverse (opposite) direction. Reversible changes are very slow and there is no loss of any energy in the process.

Why no work is done during free expansion?

When a free expansion takes place, there is no external pressure acting on the gas, which makes the gas expand. The gas expands on its own without external pressure acting on it. Since external pressure is zero, the work done during the free expansion is zero.

Is more work done in reversible or irreversible process?

The reason why more work is done in a reversible process than an irreversible process is in an irreversible process entropy is generated within the gas whereas in a reversible process entropy is not generated.

What is the formula of adiabatic work done?

The work done by the mixture during the compression is W=∫V2V1pdV. With the adiabatic condition of Equation 3.7. 14, we may write p as K/Vγ, where K=p1Vγ1=p2Vγ2.

What is adiabatic process example?

One of the good applications of the adiabatic process. The pendulum oscillating in a vertical plane is an example of it. A quantum harmonic oscillator is also an example of an adiabatic system. When we put the ice into the icebox, no heat goes out and no heat comes in.

Which is an irreversible process?

Irreversible processes are actual processes carried out in finite time with real substances. In irreversible processes, heat transfer occurs through a finite temperature difference. • In irreversible processes, mass transfer occurs through a finite chemical potential difference.

What is an example of an isothermal process?

Examples of Isothermal Process Changes of state or phase changes of different liquids through the process of melting and evaporation are examples of the isothermal process. A refrigerator works isothermally. A set of changes take place in the mechanism of a refrigerator but the temperature inside remains constant.

How to calculate work done for irreversible adiabatic process?

How to calculate it. Work done for adiabatic process is ( P1V1 – P2V2 )/ ( γ -1) but this is also the work done for reversible process. How? And How do we calculate for irreversible?

Which is the work done for adiabatic process?

Work done for adiabatic process is ( P1V1 – P2V2 )/ ( γ -1) but this is also the work done for reversible process. How? And How do we calculate for irreversible?

Is the adiabatic process a reversible process or an equation?

The adiabatic process is a thermodynamic process in which there is no heat transfer from in or out of the system. For an ideal gas, an adiabatic process is a reversible process with constant entropy.

How to calculate work done in an irreversible process?

So, if P e x t can be controlled externally as a function of the volume, one can calculate the amount of work done by the gas on the surroundings. In many homework problems encountered in thermodynamics, the value of P e x t is often specified as being constant during an irreversible process.