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The difference between the reversible work and the irreversible work in all these cases is the result of viscous dissipation in the damper element. In the next section, we will consider the comparison between reversible work and irreversible work for expansion and compression of an ideal gas and will present a graph analogous to Fig. 5 for this ...
3. How is work calculated for an isothermal expansion? The work done during an isothermal expansion can be calculated using the equation W = nRT ln(V2/V1), where n is the number of moles of gas, R is the gas constant, T is the temperature, and V1 and V2 are the initial and final volumes of the gas. 4. What is the relationship between pressure ...
The work done during isothermal expansion can be calculated using the formula W = -nRT ln (V2/V1), where n is the number of moles of gas, R is the gas constant, T is the temperature, and V1 and V2 are the initial and final volumes of the gas. 3.
During quasistatic isothermal expansion the inputted heat Q equals the minus work -W done. You derive this by integrating the ideal gas law over the volume change: Q = -W = int ( NkT/V *dV ) from Vi to Vf = NkT*ln (Vf/Vi) Furthermore, the Sackur-Tetrode equation says that delta S = Nk*ln (Vf/Vi) if you hold U and N fixed, which corresponds to a ...
The entropy change of a van der Waals gas expansion can be calculated using the formula ΔS = nRln (Vf/Vi) + ΔSint, where n is the number of moles of gas, R is the gas constant, Vf and Vi are the final and initial volumes of the gas, and ΔSint is the change in internal entropy due to the attractive forces between gas molecules.
Expansion Integration Isothermal Work Work done. In summary: Use ideal gas equationP=nRT/V, now you can put this value in your integral and integrate.In summary, the work done when a gas expands from volume V1 to volume V2 is given by W = ∫V2V1 P dV. Using this expression, it can be shown that the work done by n moles of gas at temperature T ...
Thermodynamics- Isothermal Expansion. Muntaballs. Jan 23, 2011. Expansion Isothermal Thermodynamics. In summary, the work done by the gas in expanding isothermally to 2 times its initial volume is equal to nRT multiplied by the natural logarithm of 2. This can be found by plugging in the given values into the formula W= nRT ln (Vf/Vi).
What is the significance of reversible isothermal expansion? Reversible isothermal expansion is important because it allows for maximum work to be done by the system and it is a thermodynamically efficient process. What are some examples of isothermal expansion in real-world systems? Some examples of isothermal expansion include the expansion ...
The work done during an isothermal reversible expansion can be calculated using the following equation: w = -nRT ln (Vf/Vi), where n is the number of moles of gas, R is the gas constant, T is the temperature, Vf is the final volume, and Vi is the initial volume. To incorporate the virial equation of state, we can rewrite it as pVm = RT (1+B/Vm ...
In summary, the conversation discusses an isothermal expansion of a monatomic ideal gas and asks for the temperature at the beginning and end of the process, as well as the work done by the gas. The formula pV=nRT is used to solve for temperature, and the work done is calculated using the formula W=nRTln (V_f/V_i).