1. For a reversible adiabatic process on a sealed container of ideal gas, show that
(a) (1pt)TV^γ−1 =constant
(b) (1 pt) The work done between an initial state and a final state is W =1/1−γ [P2V2 − P1V1]
1. For a reversible adiabatic process on a sealed container of ideal gas, show that (a)...
Please give detailed explanation for final part. Thanks. Reversible adiabatic expansion of ideal gas (This question involves working through the final section of lecture 3) Explain why the first Law for an reversible adiabatic process gives AU = -PdV, and why this equation doesn't hold for the Joule expansion. Assuming that for an ideal gas U = CVT, prove that the First Law leads to the statement that PVY is constant in a reversible adiabatic process. A container of Helium...
Consider a reversible adiabatic expansion of 1.00 mol of an ideal gas, starting from 1.90 L and 415 K , if 2.0 kJ of work is done by the expansion. The molar heat capacity at constant volume of the gas is 2.5R. R = 8.314 JK−1mol−1. Determine the final temperature of the gas in the process. Determine the final volume of the gas in the process. Determine the final pressure of the gas in the process.
2 140 pt) Reversible Adiabatic Expansion of Nitrogen. Nitrogen expands reversibly in an insulated cylinder fitted with a piston. The N2 is initially at 500K and 5 bar pressure and expands to a final pressure of 1 bar. Determine the final temperature T of the N2 (in K) as well as the work done in the process W (mol), assuming N2 to be in the ideal gas state. Heat capacity, Cp is equal to a constant at 3.560R.
5. He (ideal gas, 1 mol) is sealed in a adiabatic gas cylinder. The initial stae is 20 L, 200 kPa. At one moment, external pressure (equal to pressure of system) decreases to final pressure. The final volume is 30 L. Calculate the change in entropy in this process. (2 points)
a) Given that for an adiabatic process occurring in an ideal gas, PV' = constant, show that pl-y T is also a constant. b) Find an expression for the final temperature Tf after an ideal gas is compressed adiabatically and quasi-statically from an initial pressure P; and temperature Ti to a final pressure Pf. c) An ideal gas in a cylinder with a piston is allowed to expand isothermally very slowly. Determine the signs of AQ and AW and determine...
(b) Consider an adiabatic, reversible expansion of 0 020 mol Ar (perfect gas), initially at 25 C, from 0 50 L to 1 00 L The molar heat capacity of argon is, Cvm 12 48 J K mol- Calculate the work (w) done and heat transferred (q) for this process HINT first calculate the final temperature under the adiabatic, reversible expansion process (8) (b) Consider an adiabatic, reversible expansion of 0 020 mol Ar (perfect gas), initially at 25 C,...
One mole of an ideal gas undergoes a reversible adiabatic expansion from T_1, to T_2 while tripling the volume of the gas. What is the relation between T_1 and T-2? T-2/3 < T_1<T_2 T_2/3 < T_1 < T-2 T_1= T_2 T_2<T_1 T_1 lessthanorequalto T_2/3 One mole of Ar gas undergoes the reversible transformation shown. Assuming Ar behaves ideally, which statement is true for step 2? Delta U= C_p DeltaT DeltaH < Delta U Delat S= c_p ln(T_c/T_B) W = etaRt...
Assume there's 1 mol ideal mono-atomic gas in a 22.4L container at 300K. The initial entropy of the system is 100J/K. For the following processes, calculate: a) q and w for a reversible expansion to twice the volume, isothermally. b) S and G for irreversible isothermal expansion against a constant 0.5 bar external pressure, to a final internal pressure of 0.5 bar. c) U and H for adiabatic reversible expansion to twice the volume.
An ideal gas in a sealed container has an initial volume of 2.50 L. At constant pressure, it is cooled to19.00 ∘C, where its final volume is 1.75 L. What was the initial temperature? ?1= ∘C
An ideal gas in a sealed container has an initial volume of 2.30 L. At constant pressure, it is cooled to 20.00 C, where its final volume is 1.75 L. What was the initial temperature?