3. A gas obeys the equation of state PV = nRT - an'/V, where n is the number of moles of gas and a is constant. Sub...
3. A gas obeys the equation of state PV = nRT - an'/V, where n is the number of moles of gas and a is constant. Substitute with rearrangement into the differential equation for work, and integrate from Vito V2 to find an equation for the work done by this gas as the result of a reversible isothermal process. Show algebraically that the work is proportional to n to the first power.
10. A nonideal gas obeys the equation of state PV = nRT - api where a is a positive constant. Obtain an expression for the Joule-Thomson coefficient for this gas in terms of the constant a and the heat capacity of the gas. Does the temperature of the gas increase or decrease in a Joule-Thomson experiment? Coorry?
8. 10 Point Bonus! The Ideal Gas Equation of State is pV = nRT, where n= number of moles of gas & R is the ideal the gas constant. The Van der Waals Equation of State is briefly discussed in Ch. 5 of the book by Reif. It is an empirical, crude attempt to improve on the Ideal Gas Model by allowing gas molecules to interact with each other. For one mole of non-ideal gas this equation of state is...
Problem 3: PV Work for a van der Waals Gas (1 points) The work for a reversible, isothermal expansion of an ideal gas was found by starting with the expression for reversible work --CP V2 P dV V1 and substituting the ideal gas equation of state for P(V,T), to obtain V2 w = nRT ln VI Find an expression for the work of a reversible, isothermal expansion of a van der Waals gas by starting with the same expression for...
7. (4 ptš) Co equation of state, PV- n(RT+ BP) where B is a constant. nsider the adiabatic reversible compression of n moles of a gas with th (a) Write the equation of state as P = ? (b) What is (ou av (c) What is AU for the process?
deal gases obey the equation PV nRT, where P is the pressure of the gas, V is its volume, n is the number of moles of gas, T is its temperature, and the constant R-8.314 KPa-liters-mol-1 kelvin-1 (a) Find the exac t change in volume of O, gas as the pressure increases from 12.00 to 12.01 KPa, the temperature decreases from 300.0 to 299.9 degrees kelvin, and the number of moles of 0, gas changes from 1.03 to 1.01 moles....
2. Derive an expression for (as) for a gas with the equation of state: P(V-nB) = nRT, where B is a constant. 2. Derive an expression for (as) for a gas with the equation of state: P(V-nB) = nRT, where B is a constant.
2 moles of compressed air (diatomic gas) in a cylinder under the initial condition T1=573K p1=500kPa. Found v1=0.019m^3 but can not remember then how to find V2. I think that it has something to do with T1=T2 condition then P2 can be found.... but stuck on how to proceed so with FULL written explanations with working would be much appreciated! All question info on practice exam below - note ISOTHERMAL EXPANSION. for part ii which after an explanation first. Two...
One way to write the ideal gas law is PV = nRT where P is the pressure, V is the volume, n is the number of moles, R is the universal gas law constant and T is the temperature. Solve the ideal gas law for T.
4. 10 points A monoatomic gas obeys the van der Waals equation: N²a P= NT V - Nb V2 where N is the number of particles and a and b are known constants and t = kbT. The gas has a heat capacity Cy = 3N/2 in the limit V +0. a) Using the thermodynamic identities and the equation of state prove that acv = 0. av т (3 pts) b) Use the result of part a) to determine the...