How do you calculate work done in an isothermal reversible process?
During the derivation for work done in isothermal reversible expansion of an ideal gas, following expression appears. dW=(P−dP)dV=PdV+dP.
What is the work done in isothermal reversible compression?
positive
A : Work done in reversible isothermal compression is positive.
What is the expression for the amount of work done for isothermal reversible change?
Thus, dw = P x dV, where dV is the increase in volume.
What is the work done in an isothermal expansion?
For an isothermal, reversible process, the work done by the gas is equal to the area under the relevant pressure -volume isotherm. It is given as WA→B=NkTlnVBVA W A → B = NkT ln V B V A .
What is the formula for work for reversible system?
Work done in reversible adiabatic process by an ideal gas is given by: A 2.303RTlogV1V2. B nRγ−1(T1−T2)
How do you calculate reversible work?
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 of reversible process also write equation?
If the external pressure is zero, the work done is also zero as the gas expands into the vacuum. In the reversible process, Pext is always less than the pressure of the gas, by an infinitesimally small quantity. W = (P – dp) dV. In the equation W tends to the maximum as (P – dp) tends to P or dp tends to zero.
How do you calculate work done in isothermal compression?
Substituting for p, we obtain dW = (nRT/V) dV. Since the temperature, T, is constant (isothermal process), we can integrate the work from the initial to the final volume. Note that the work done by the gas is the negative of the work done on the gas: Wby = − Won. Positive work is done on the gas.
What is the relationship between CP and CV?
The specific heat of gas at constant volume in terms of degree of freedom ‘f’ is given as: Cv = (f/2) R. So, we can also say that, Cp/Cv = (1 + 2/f), where f is degree of freedom.
What is isothermal reversible expansion?
Hence, a reversible isothermal expansion is an infinitely-slow increase in volume at constant temperature. All the reversible isothermal PV work wrev done by an ideal gas to expand was possible by reversibly absorbing heat qrev into the ideal gas.
How do you calculate work isothermal?
Work done in an Isothermal Process
- In an isothermal process temperature remains constant.
- Consider pressure and volume of ideal gas changes from (P1, V1) to (P2, V2).
- This can be also written as.
- This can also be expresses in terms of Initial Pressure and Final Pressure also W=2.303nRTlog(P1P2)
What is the formula of work done during isothermal and adiabatic process?
The work done by the gas in isothermal, isobaric, and adiabatic processes are given by, W1=p1V1ln(V2V1),W2=p1(V2−V1),W3=p1V1−p2V2γ−1=p1V1γ−1[1−(V1V2)γ−1], W 1 = p 1 V 1 ln ( V 2 V 1 ) , W 2 = p 1 ( V 2 − V 1 ) , W 3 = p 1 V 1 − p 2 V 2 γ − 1 = p 1 V 1 γ − 1 [ 1 − ( V 1 V 2 ) γ − 1 ] , where p2 and V2 are final …
