10.13 Show that for a gas obeying the van der Waals equation (P+ a/v²) (v – b) = RT, with cy a function of T only, an equation for an adiabatic process is T(v – b)R/cv const.

Q: . In class on Wednesday, we defined the availability as A = U + POV - ToS, where Po is the pressure…

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Q: 1) A particular fluid has the fundamental equation of state S = A (N²V²E)'/5 where A is a constant.…

A: S=A(N2V2E)15 (a) The chemical potential is defined as : μ=-T∂S∂N μ=-T∂∂NA(N2V2E)15μ=-TA(V2E)15∂∂NN25…

Q: 3 gy2(=) ,K's 5nkT g5/2(=) KT nkT gy2(=)

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Q: Does the internal energy (U) of a perfect gas go up or down with increasing pressure under…

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Q: Calculate the change in entropy of 1.0 kg of lead when it cools from 500 °C to 100 °C. Take Cp,m=…

A: mass of lead (m) = 1 kg initial temperature = 500o C final temperature = 100o C Cp = 26.44 Jk-mol

Q: (a) Calculate the volume occupied by 1.00 mol of an ideal gas at a pressure of 1.00 atm (1.01 10^5…

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Q: In a system similar to that shown in Active Figure 12.1, the gas in the cylinder is at a pressure…

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Q: What is the rms speed (in m/s) of a helium-3 atom in an ideal gas at a room temperature of 300…

A: Atom : Helium - 3 Temperature (T)= 300 k mass (m) = 3.016 u 1 u = 1.66×10-27 kg kB = 1.38×10-23 Jk

Q: onsider two isolated parcels of dry air masses M1=2kg and M2=3kg at the same pressure p1=p2 (same…

A: Given data, M1 = 2 kg M2 = 3 kg P1 = P2 T1 = 250 K T2 = 260 K Cp = 1

Q: (11.2) Show that, for an ideal gas, R = y - 1 Cy (11.37) and R y – 1 Cp where Cy and C, are the heat…

A: Introduction: For a mole of an ideal gas: ∆H=∆U+∆pv∆H=∆U+∆RT∆H=∆U+R∆T…

Q: The state of an ideal gas of 1 mole changes from (Vo, po, To) to (Vo+dV, po+dp, To+dT) through a…

A: Here the system consist of 1 mole gas which changes from ( V0 , p0, T0) to state ( V0+dV, p0+dp,…

Q: Entropy and free enthalpy of a system are given by: N ( 1₂ B-T² + ²) and G(T,p) = −kTN · In B.TZ 5 Р…

A: Given : Entropy of the system, ST,p=kNlnB.T52p+52 Enthalpy of the system, GT,p=-kTN.lnB.T52p…

Q: = T T V

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Q: Answer the problem. For helium, R=2.0769 and Cp=5.1926 KJ/kg-K. Three kg of helium operates cycle…

A: 3kg of helium is used     R = 2.07  ,  Cp = 5.192 KJ/kg k      P₁ = 100 kPa,   T₁ = 300k…

Q: What is the value of ∂S / ∂lnP )T for an Ideal Gas.

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Q: aG =-S [3D.8]; hence =-S, and =-S, (G,-G) AS = S, - 5, = ) +*). -(-73.13+ 42.8Jx =-42.8JK

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Q: The two common phases of carbon are diamond and graphite. At 1 atm and 298 K, graphite is more…

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Q: How would I derive the product PV for a gas of photons in relation to their total internal energy?…

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Q: Consider an ideal monatomic gas. Here, take N as constant. We can take any two arguments like (p, V)…

A: A) Given that  internal energy is: E or U = 32NkT and dU =32NkdT Using (1) , dU =dQ -dW…

Q: It's a thermodynamics question.

A: To derive:

Q: 3 žIn(k) + žIn(2mm) – 31

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Q: Problem 9.001 SI At the beginning of the compression process of an air-standard Otto cycle, P -1 bar…

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Q: Answer in 90 minutes please.

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Q: Determine the heat capacity at constant pressure (in Joule per kelvin per mole) for an ideal…

A: Its a concept of heat capacity

Q: Steam to drive an old-fashioned steam locomotive is supplied at a constant gauge pressure of (about…

A: Here, process is carried out at constant pressure this means the process is isobaric calculate work…

Q: 1.7 Take U = U (T, P) and V = V (T, P). a. Show that - ),+"(),•[), +*(),]# OP ƏT OP dT b. Show that…

A: Given: U=UT,PV=VT,P

Q: A sample of 2.37 moles of an ideal diatomic gas experiences a temperature increase of 65.2 K at…

A: If a system contains a large number of particles and they obey Newtonian mechanics, each molecular…

Q: A highly non-ideal gas has an entropy given by S=aNU/V, where the internal  energy, U is a function…

A: A highly non-ideal gas has an entropy given by S=aNUV, Where the internal energy, U, is a function…

Q: 5. 10 moles of ideal gas initially at 10 atm and 250 K is expanded isother- ally and reversibly to a…

A: In isothermal process temperature remains constant. It follows Boyle's law.

Q: calculate the change in molar Gibbs energy, dG, when the pressure is increased by 0.1 bar.

A: Molar Gibbs energy ∆G=RTlnp2p1 where p2=final pressure p1=initial pressure Ideal gas law states that…

Q: A monatomic ideal gas initially has a temperature of 330k and preassure of 3x105 Pa. The gas expands…

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Q: Use the Gibbs expression for entropy (eqn 14.48) to derive the formula for the entropy of mixing…

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Q: Part A: 10 moles of ideal gas initially at 10 atm and 250 K is expanded isothermally and reversibly…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 5. nc, ƏT show that it is. II

A: Given, H=E+PV E= Internal energy P= pressure V= volume

Q: Obtain the dimensional formula for R used in the Ideal gas equation, PV = RT. %3D

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Q: 1. Let the plasma be an ideal gas of electrons (a) find the thermal force density Vp for an…

A: Solution:-   a).          Using Ideal gas-equation,…