What is the work done in adiabatic compression?

What is the work done in adiabatic compression?

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.

How do you calculate the work done in a reversible process?

In order to calculate the work done by a reversible or irreversible process, we need to use different equations. In this situation, the pressure can be calculated directly using the ideal gas law, as given previously: PV = nRT.

What is the work done during the expansion of an ideal gas both in reversible and irreversible?

0
During free expansion of an ideal gas, the work done is 0 be it a reversible or irreversible process. Where ∆U represents the change in internal energy, q is the heat given by the system and w is the work done on the system.

Why is work done in reversible process maximum?

This is a reversible process because a very small increase in the external pressure would cause the gas to be compressed. Clearly, more work is done by the reversible expansion. The reversible expansion does the maximum amount of work because the gas is pushing against the maximum possible external pressure.

What is the work done in reversible and 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.

Which is the best description of the reversible adiabatic process?

Reversible Adiabatic Process. Reversible adiabatic process is also called an Isentropic Process. It is an idealized thermodynamic process that is adiabatic and in which the work transfers of the system are frictionless; there is no transfer of heat or of matter and the process is reversible.

Is the enlargement of a cylinder an adiabatic process?

Despite the cylinders being not insulated and having a conductive nature, the process is deemed to be adiabatic. The same could be considered to be true for the enlargement process of such a system. What is Adiabatic Process Equation? Following is the adiabatic process equation: Reversible adiabatic process is also called an Isentropic Process.

What is the formula for reversible adiabatic expansion of an ideal gas?

Thus for a reversible adiabatic process and an ideal gas, CVdT = −PdV. (The minus sign shows that as V increases, T decreases, as expected.) But for a mole of an ideal gas, PV = RT = (CP − CV)T, or P = (CP − CV)T/V.

Which is more negative adiabatic compression or isothermal expansion?

Bottom line: The magnitude of the work for the isothermal process for both expansion and compression is greater than the magnitude of the work for the adiabatic process. Although the adiabatic compression work is less negative than the isothermal compression work, the amount of work depends only on its magnitude.