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Show that for an ideal gas Cp=yR/(y-1), Cv=R/(Y-1) and Cp-Cv=R
One mole of an ideal gas with CP = (7/2)R and CV = (5/2)R expands from P1 = 8 bar and T1 = 630 K to P2 = 1 bar. Take the value of R as 8.314 J·mol-1·k-1. At constant volume (assume mechanical reversibility), find the value of W, Q, ΔU, and ΔH? rt.)
Calculate A, E, μ, cv and S for 1 mole of Kr at 298 K and 1 atm (assuming ideal behavior)
Calculate A, E, μ, cv and S for 1 mole of Kr at 298 K and 1 atm (assuming ideal behavior)
Useful constant: R-0.08315L.bar/K.mol, 0.08206L.atm/K.mol or 8.314J/K.mol, Cv(any monoatomic gas) 3R/2 and Cp-Cv+ R for an ideal gas. Section I 1. Assuming that CO2 is an ideal gas, calculate ASo (in the unit, J K:1) for the following process 1 CO (g, 298 K, 1 bar) 1 CO (g, 1000 K, 1 bar) Given that: Cv 18.334 + 42.262 x 103 T - 142.4 x 10-7 T2 (where Cv is in of JK-1)
If the heat capacities, Cv and Cp, for He are determined to be 18.708 J*K^-1 and 31.179J*K^-1, respectively, how many moles of gas are present? Assume the gas behaves ideally. Calculate the constant, y, used in calculations involving ideal gas adiabats using this data.
Could you decide between two structures from the Cp and Cv ratios?
A cycle where the working fluid is air (R = 287 J/kgK, k = Cp/Cv = 1.4) consists of the following processes 12 adiabatic compression from 100 kPa and 15 Celcious to 2 MPa 23 constant pressure heat addition to 1200Celcioius 34 adiabatic expansion 41 constant volume heat rejection Draw the cycle on the P-v Diagram and calculate heat addition and heat rejection work consumed and work produced technical work consumed and technical work produced the...
2. One mole of an ideal gas, CP - (7/2)R and CV - (5/2)R, is compressed adiabatically in a piston/cylinder device from 2 bar and 25°C to 7 bar. The process is irreversible and requires 35% more work than a reversible, adiabatic compression from the same initial state to the same final pressure. What is the entropy change of the gas?
1)(Hint: Cp=1.005 kJ/kg-K, Cv=0.718 kJ/kg-K, R=0.287 kJ/kg-K). An air-tight room contains 80 kg of air, and a 2-kW baseboard electric resistance heater in the room is turned on and kept on for 15 min. The temperature rise of air at the end of 15 min is 2)An example of when it is appropriate to model a substance as an ideal gas is when a. The pressure and temperature are close to the critcal point b. The pressure and temperature are...
Q3 (Prove that P∞ k=1 1/kr < ∞ if r > 1) . Let
f : (0,∞) → R be a twice differentiable function with f ''(x) ≥ 0
for all x ∈ (0,∞).
(a) Show that f '(k) ≤ f(k + 1) − f(k) ≤ f '(k + 1) for all k ∈
N.
(b) Use (a), show that Xn−1 k=1 f '(k) ≤ f(n) − f(1) ≤ Xn k=2 f
'(k).
(c) Let r > 1. By finding...