I need help with part 2, thanks!
I need help with part 2, thanks! Problem 4 (1) Use first law to directly prove...
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...
4. [After Reif Problem 5.1] When an ideal gas undergoes an adiabatic (thermally insu- lated) quasi-static expansion, its pressure and volume are related by p = constant. where γ = cp/cv is the ratio of heat capacities. If the gas expands from an initial volume Vi at temperature T to a final volume V2, calculate the final temperature T2 in terms of γ, Vi, Ti, and ½.
I. (30 pts.) One mole of an ideal gas with constant heat capacities and ? 5/3 is compressed adiabatically in a piston-cylinder device from T1-300 K, pi = 1 bar to p2 = 10 bar at a constant external pressure Pext"- P2 -10 bar. Calculate the final temperature, T2, and W, Q. AU, AH for this process. 2. (20 pts.) Repeat problem 1 for an adiabatic and reversible compression. 3. (20 pts.) A rigid, insulated tank is divided into two...
Parts iii) and iv) are the ones I need help with please :) (a) One mole of a monoatomic van der Waals gas obeys the equation of state and its internal energy is expressed as U where Cv is the molar apacity of an ideal gas. The gas is initially at pr isochoric heat c essure p and volume V Explain the physical meaning of the parameters a and b in the equation of state of the gas (ii) Write...
Help me do it. Problem 4. A Carnot cycle using 2 mol mono-atomic gas works between a hot reservoir Ti 400K and a cold reservoir T2 300K The 1-2 and 3-4 processes are isothermal The 2-3 and 4-1 processes are adiabatic. Given Vi 12 L, V2 -8 L a) (3 pts) Find Pi, P2, Ps, Ps, Vs, V4 b) (4 pts) What is the heat received by the gas during the 1-2 process? o (4 ptsy) What is the heat...
4. You are asked to perform thermodynamic analysis for a real gas that obeys the following equation of state: aP where "a" and "b" are constants (the numerical value of these constants is not important for this problem). You also know that the real gas has the following molar heat capacity, which you can assume depends only on the temperature: Cpm = A + BT with T in kelvin. Also, 2aPaP2 Note that, since the gas is real, the relationship...
Please solve no.6, 8 & no.1, 4 in chapter2. For an ideal gas PV MRZ where n is the number of moles. Show that the heat transferred in an infinitesimal quasistatic process of an ideal gas can be written as n R 8.) An explosive liquid at temperature 300 K contains a spherical bubble of radius 5 mm, full of its vapour. When a mechanical shock to the liquid causes adiabatic compression of the bubble, what radius of the bubble...
In this problem you are to consider an adiabaticexpansion of an ideal diatomic gas, which means that the gas expands with no addition or subtraction of heat. Assume that the gas is initially at pressure p0, volume V0, and temperature T0. In addition, assume that the temperature of the gas is such that you can neglect vibrational degrees of freedom. Thus, the ratio of heat capacities is γ=Cp/CV=7/5. Note that, unless explicitly stated, the variable γ should not appear in...
2. First Law of Thermodynamics An engine takes 3.25 mole of an ideal monatomic He gas through the cycle shown in the figure. Note that the temperature of the gas does not change during process c-a. p(Pa X 105) a b 2.0 - V(m3) 0 0.010 0.040 Hints: Cp = Cv+ R. Monatomic and diatomic gases have a different number of degrees of freedom at intermediate temperatures like those in this problem. 1[Pa] = 1 [N/m2] is the metric unit...
The following problems summarize this section: Problem 3.4 - A frictionless piston-cylinder device contains 0.2 kg of air at 100 kPa and 27°C. The air is now compressed slowly according to the relation P VK = constant, where k = 1.4. until it reaches a final temperature of 77°C. . a) Sketch the P-V diagram of the process with respect to the relevant constant temperature lines, and indicate the work done on this diagram. • b) Using the basic definition...