if you have any quiries please comment below
Derive an expression for the isothermal compressibility 1 (av for an ideal gas
. Derive an expression for isothermal, reversible expansion for a van der Waals gas. Is the work done on the surroundings more or less compared to an ideal gas?
4. The isothermal compressibility B is defined as 1 jav This quantity measures the fractional change in volume when the pressure is increased slightly, while the temperature is held constant. Derive an expression for the isothermal compressibility for the van der Waals gas. You may make use of the reciprocity relation ag ах y.2 ag у,2 Caution: Be mindful of which variables must be held constant on both sides.
Calculate the isothermal compressibility and the expansion coefficient of a perfect gas and a van der Waals ga:s (ii) Show, using Euler's chain relation, that KTR α(Vin-b) (iii) Make use of the definitions of the coefficient of thermal expansion, α, and 1. (i) (15) the isothermal compressibility, KT, and start from the expression for the total differential dV in terms of T and P to show that: OT
Section IV 1 (av vap 1 and isothermal compressibility KT use the 1. Knowing expansion coefficient a T Maxwell relations to justify the following equations: (a) The Joule coefficient is Ay Justify t,Cy p-aT/Kr. T (b) Justify the thermodynamic equation of state tr -p. av ан Justify Hr=-T T +V (c) The isothermal Joule-Thomson coefficient is ur
2. Derive expressions for the isothermal compressibility below and above T. Approach the critical point along the isochore ψ = 0 for t > 0, and along the coexistence line for t <0. 2. Derive expressions for the isothermal compressibility below and above T. Approach the critical point along the isochore ψ = 0 for t > 0, and along the coexistence line for t
Derive above expression for chem potential of an ideal gas Chem Potential for ideal gas
atnQ 3. Use the equation S klnQ + KTn)v to derive the expression for an ideal gas: as 1 au ov atnQ 3. Use the equation S klnQ + KTn)v to derive the expression for an ideal gas: as 1 au ov
Compare compressibility of ideal gas to compressibility of real gas. Show your answer using equations.
12. 1 mole of an ideal gas undergoes an isothermal expansion from V1 = 1.4L followed by isobaric compression, p = cst.if P1 = 4.4atm, p2 = 1.7atm → ?- m calculate the work done by gas during the expansion. Express work in J = N·m! • For isothermal processes, AT = 0 T = cst → w=faw=fr&v=/MRT AV 594 Show your work like: `x-int_0^5 v(t)dt rarr x-int_0^5(-4*t)dt=-50 m 13. 1 mole of an ideal gas undergoes an isothermal expansion...
2 Calculate the isobanic volumetric thermal expansion coefficient and the isothermal Compressibility, respectively, defined by 2=+2), k ept for an ideal gas at 298K and 1.00 bar L.