Answered: 3. Derive the Joule - Thomson…

Science

Chemistry

3. Derive the Joule - Thomson coefficient for virial equation of state in terms of volume expansion.

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter4: Gibbs Energy And Chemical Potential

Section: Chapter Questions

Problem 4.44E

See similar textbooks

Related questions

Q: How to prove that the temperature (T) of an ideal gas law is a state function?

A: Thermodynamics is the branch of chemistry which deals with the study of heat and other forms of…

Q: Partial Derivative referred to as "internal Pressure" Hence, A has units Equation TT=L Use this…

Q: Under what conditions will the quantities q and w be negative numbers?

A: First law of thermodynamics is stated as follows,

Q: A particular substance obeys the following equation of state: P2 (V bar) = - DT where D is a…

A: Given: The equation of state which is obeyed by a specific substance is as follows, P2 V=-DT Here, D…

Q: A sample of 2.0 moles of a diatomic ideal gas undergoes an adiabatic reversible compression.…

A: We have to calculate the temperature of final state.

Q: Can Cp and Cv be easily defined using natural variable expression for dE and dH?

A: Welcome to bartleby ! We have to define whether Cp and Cv dH and dE respectively .

Q: 2. The pressure in a car tire is 198 kPa at 27°C. After a long drive, the pressure is 225 kPa. What…

A: Gay-Lussac's law, states that the pressure of a given amount of gas held at constant volume is…

Q: A sample of perfect gas is compressed isothermally to half its volume. If it is compressed…

A: As, from the mathematical expression of perfect gas compression it is very evident that, adiabatic…

Q: A ideal diatomic gas expanded adiabatically and reversibly. The initial molar volume of the gas was…

Q: Calculate the final pressure of a monatomic ideal gas in a reversible adiabatic process if the…

A: GIven : The initial volume, Vi = 500 cm3 The final volume, Vf = 2000 cm3 The initial pressure, Pi =…

Q: Derivation of the reflexive adiabatic law of compression

A: Since for adiabatic process dq= 0 so considering that adiabatic law of compression is derived.

Q: 103. Prove that the heat capacities of a perfect gas are independent of both volume and pressure.

A: For perfect gas, the equation is; PV = RT ........(1) Where, P = pressure V = volume R = constant T…

Q: It can be useful to approximate the behavior of real gases. Imagine you find a gas approximately…

A: Real gases are non ideal gases whose molecules occupy space and have interactions. And the gas…

Q: An ideal gas expands reversibly and isothermally

Q: E), Determine and ƏT. for the van der Waal fluid. əv. V

A: We have to calculate the given derivatives.

Q: Calculate the value of cP at 298 K and 1 atm pressurepredicted for CH4(g) and C2H4(g) by the…

A: CH4 is a non-linear compound. 3 degrees of translational freedom contributes 32×R=32R Number of…

Q: How would a system undergoing adiabatic reversible expansion be represented by the equation for the…

A: The process where heat and mass do not transfer between thermodynamics system and surrounding is…

Q: Compute U and S for H2O(v) at 298 K assuming ideal gas behavior

A: Specific heat capacity of steam at constant volume (Cv) = 34.13 J/molK Specific heat capacity of…

Q: He. не, = 0 for an ideal gas. Show that (),

Q: T Using the Joule coefficient, OP ,solve for Joule coefficient for a gas described by the Ideal and…

A: Joule Thomson coefficient is expressed as the drop in temperature with respect to decrease in…

Q: Suppose you have a gas that obeys the following modified van der Waals equation: P(V-nb)=nRT a)…

Q: 6) Evaluate (dS/aV)† for a van der Waals gas. For an isothermal expansion, will AS be greater for an…

A: GIVEN & TO FIND:-

Q: For the ideal gas that proves the polytropic process with constant temperature, pressure and volume,…

A: n = -1 Given that, for given condition of polytropic gas as follows; PVn = constant And C =…

Q: Suppose you have a gas that obeys the following modified van der Waals equation: P(V – nb) = nRT a)…

A: Given modified van der Waals equation is P(V – b) = nRT

Q: Expla in how the experiments of Boyle, Charles, andAvogadro led to the formulation of the perfect…

A: The perfect gas equation of state is PV = nRT where P =…

Q: Calculate the final pressure of a monatomic ideal gas in a reversible adiabatic process if the…

A: Pi = 1 bar Vi= 500 cm3 Vf = 2000 cm3

Q: Show that, for a perfect gas, (US)y= T and (@U/V)s=-p.

Q: Calculate

A: a. The work done by ideal gas in isothermal reversible expansion, Wrev =- nRTln(V2/V1) =…

Q: Show that, for a perfect gas, (JU/S),= T and (ƏU/ƏV)s=-P.

A: First write down the relation between U,S and T. Then differentiate that function and find out the…

Q: Two ideal gas systems undergo reversible expansion under different conditions starting from the same…

Q: Obtain compression expansion work for van der Waals gas when the process is performed at a constant…

A: At constant temperature means Isothermal process So work done on Van der waals gas means real gas is

Q: 1. Internal energy's natural variables are entropy, S, and V. Mathematically, it can be written as…

Q: Calculate the final pressure of a sample of water vapor that expands reversibly and adiabatically…

Q: How to prove (mathematically) that the temperature of van der waals equation is a state function?

A: The van der Waal equation is [P+((an^2)/(v^2)][v−nb]=nRT ∴ for every quantity, there is a…

Q: Calculate w per mole for a reversible isothermal expansion of ethane from 6 to 10 L mol-1 at 298 K…

Q: a) Show that), (KrP – BT)V KT = Isothermal compressibility B = volume expansivity

A: dU = TdS - PdVDifferentiaite both sides with respect to P at constant TSo, ∂U∂PT = T∂S∂PT - P∂V∂PT…

Q: 1. Derive a relation for Joule – Thomson coefficient for a gas whose equation of state is(? + ? /??…

A: 1. Derive a relation for Joule – Thomson coefficient for a gas whose equation of state is P+av2v=RT…

Q: Using partial derivative determine the change of pressure with respect to volume, all else constant…

A: Ideal gas law gives the behavior of ideal gases and how its temperature, pressure, volume and no. of…

Q: For a van der Waals gas: a Calculate AUm (in / mol-) for the isothermal reversible expansion of N2…

Question

3. Derive the Joule - Thomson coefficient for virial equation of state in terms
of volume expansion.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2 Explanation

Step 3

Step 4

Step 5

Step 6

Step 7

Step 8

Trending now

This is a popular solution!

Step by step

Solved in 8 steps with 7 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.

Similar questions

The ideal gas law is theequation of state for an ideal gas. Why cantit be used to determine TpH?
What is the value of q at absolute zero? Is it the same for all systems?
Asampleof a monatomic ideal gas doubles itsvolume reversibly and adiabatically. By what percentage does its absolute temperature change?
Evaluate for a gas following the Redlich-Kwong equation of state? pV
Use the data in Table 2.2 to determine Hp T for Ar at 0C and 1atm. Make any reasonable assumptions necessary.
In orbit about Earth, a weather balloonjettisons a weight andascends to a higher altitude. If the initial pressure inside the balloon is 0.0033 atm and it ascends to an altitude where the pressure is 0.00074 atm, by what fraction does the absolutetemperature change? Assumethat the balloon is filled with helium, a good approximation of an ideal gas, and that the change is adiabatic.
Show that =5/3 for a monatomic ideal gas.
Explain why the spontaneity conditions given in the equation 4.3 and 4.4 are in terms of the general derivatives dU and dH and not some partial derivative of U and H with respect to some other state variable.
When is the fugacity equal to the partial pressure of a gas? Fugacity is equal to partial pressure at low pressure. Fugacity will never be equal to partial pressure. Fugacity is equal to partial pressure at high pressure. Fugacity is equal to partial pressure at all pressure.
In this assignment, we will consider 1 mole of N2(g) which is in a closed container. In state 1, the temperature is 25°C and the pressure in the container is 10 bar.We assume that N2 behaves like an ideal gas and that Cp,m(g) = 29.125 J mol-1K-1, and is independent of temperature. 1) How large will a) the volume work, b) the heat and c) the change in enthalpy of N2 be if, starting from state 1, the volume of the container was changed in a reversible and isothermal manner so that the pressure in the container drops to 1 bar? 2) How big will a) the volume work, b) the heat and c) the change in enthalpy of N2 be if, again starting from state 1, the volume of the container was changed in a reversible and adiabatic way so that the pressure in the container drops to 1 bar? 3) a) Explain what reversible means in tasks 1) and 2) b) state what the change in the entropy of the universe is in tasks 1) and 2). 4) How large will a) the volume work, b) the heat and c) the change in enthalpy of N2…
Use the Maxwell relations to express the derivatives E. O. H, and (). terms of the heat capacities, the expansion coefficient a, and the isothermal compressibility KT
1. Determine the expression for (), for (a) a gas following ӘР Tin the van der Waals equation and (b) virial equation.