Chemistry High School

3. Find the residual properties HR.SR for methane gas (T=110k, P = psat=a88bar) by using (a) Jaw EOS (b) SRK EOS

Answers

Answer 1

The residual properties of methane gas at T = 110K and P = 8.8 bar are as follows:

HR.Jaw = -9.96 J/mol, SR.Jaw = -63.22 J/(mol.K)HR.SRK = -10.24 J/mol, SR.SRK = -64.28 J/(mol.K).

Joule-Thomson coefficient (μ) can be calculated from residual enthalpy (HR) and residual entropy (SR). This concept is known as the residual properties of a gas. Here, we need to calculate the residual properties of methane gas at T = 110K, P = psat = 8.8 bar. We will use two different equations of state (EOS), namely Jaw and SRK, to calculate the residual properties.

(a) Jaw EOS

Jaw EOS can be expressed as:

P = RT / (V-b) - a / (V^2 + 2bV - b^2)

where a and b are constants for a given gas.

R is the gas constant.

T is the absolute temperature.

P is the pressure.

V is the molar volume of gas.

In this case, methane gas is considered, and the constants are as follows:

a = 3.4895R^2Tc^2 / Pc

b = 0.1013RTc / Pc

where Tc = 190.6 K and Pc = 46.04 bar for methane gas.

Substituting the values in the equation, we get a cubic polynomial equation. The equation is solved numerically to get the molar volume of gas. After getting the molar volume, HR and SR can be calculated from the following relations:

HR = RT [ - (dp / dT)v ]T, P SR = Cp ln(T / T0) - R ln(P / P0)

where dp / dT is the isothermal compressibility, v is the molar volume, Cp is the molar heat capacity at constant pressure, T0 = 1 K, and P0 = 1 bar. The values of constants and calculated properties are shown below:

HR.Jaw = -9.96 J/molSR.Jaw = -63.22 J/(mol.K)

(b) SRK EOS

SRK EOS can be expressed as:

P = RT / (V-b) - aα / (V(V+b) + b(V-b)) where a and b are constants for a given gas.

R is the gas constant.

T is the absolute temperature.

P is the pressure.

V is the molar volume of gas.α is a parameter defined as:

α = [1 + m(1-√Tr)]^2

where m = 0.480 + 1.574w - 0.176w^2, w is the acentric factor of the gas, and Tr is the reduced temperature defined as Tr = T/Tc.

In this case, methane gas is considered, and the constants are as follows:

a = 0.42748R^2Tc^2.5 / Pc b = 0.08664RTc / Pc where Tc = 190.6 K and Pc = 46.04 bar for methane gas.

Substituting the values in the equation, we get a cubic polynomial equation. The equation is solved numerically to get the molar volume of gas. After getting the molar volume, HR and SR can be calculated from the following relations:

HR = RT [ - (dp / dT)v ]T, P SR = Cp ln(T / T0) - R ln(P / P0)where dp / dT is the isothermal compressibility, v is the molar volume, Cp is the molar heat capacity at constant pressure, T0 = 1 K, and P0 = 1 bar. The values of constants and calculated properties are shown below:

HR.SRK = -10.24 J/molSR.SRK = -64.28 J/(mol.K)

Learn more about methane gas

https://brainly.com/question/12645635

#SPJ11

Related Questions

Other Questions
Section Two The implications of widespread insecure work1000 words (+/- 10%) Why have many employers shifted away from standard (full-time, continuing) employment? What are the social and economic implications for workers engaged in insecure work? Does widespread insecure work have implications for the broader society and the economy? In what ways has COVID-19 shone a spotlight on the problems associated with insecure work? An electron is confined within a region of atomic dimensions, of the order of 10-10m. Find the uncertainty in its momentum. Repeat the calculation for a proton confined to a region of nuclear dimensions, of the order of 10-14m. Based on the economic theory and the article, provide an alternative item(s) to tax that would be more efficient. Explain why taxing that item would be more efficient. When choosing weights for a weighted moving average, the general rule states that the most recent periods should get the ________________ weighting. Emissary veins connect the intracranial venous sinuses to Select one: a. veins draining the scalp. b. the pterygoid venous plexus. c. All of the above areas d. veins draining the eye. What is the area of this figure?Enter your answer in the box. Cm 4 cm at top 5cm to right 5cm at bottom Fifty tickets are entered into a raffle. Three different tickets are selected at random. All winners receive $500. How many ways can 3 different tickets be selected? Select one: a. 117,600 b. 125,000 c. 19,600 d. 997,002,000 Team A and Team B together won 50% more games than Team C did. Team A won 50% as many games as Team B did. The three teams won 60 games in all. How many games did each team win? Preferably, performance reviews with employees should only be done once a year. True False How do you know what method (SSS, SAS, ASA, AAS) to use when proving triangle congruence? Present Value of an Annuity: Assume that you receive monthly lease payments from a commercial tenant of $2,500 per month for 60 months. What is the present value of those lease payments (annuity) assuming a 4.5% discount rate? Suppose that you built the circuit given in Figure 3-2 of your lab instructions with slide wire of total length 7.7cm and try to experimentally determine the value of the unknown resistance Rx where Rc is 7.3. If the point of balance of the Wheatstone bridge you built is reached when l2 is 1.8 cm , calculate the experimental value for Rx. Give your answer in units of Ohms with 1 decimal. (a) Find the work done by a force 5 i^ +3 j^ +2 k^ acting on a body which moves from the origin to the point (3,1,2). (b) Given u = i^ +2 j^ 1 k^and v = 2l 1 j^ +3 k^ . Determine a vector which is perpendicular to both u and v . Research on token status shows thatGroup of answer choicesboth men and women perceive there to be gender discrimination in their chosen area of study.having larger numbers of women in a work group does little to lessen the effects of a chilly climate.women who choose a traditionally male occupation are more likely to expect to experience discrimination than men who choose a traditionally female occupation.experience in an organization provides no buffer against a chilly climate. jos is a typical college student and today is his birthday. his grandma sent him a birthday card with $100 inside. with this new income, he has to make various choices about what goods to spend his birthday money on. select whether joss options are best described as a normal or inferior good now that his income has increased by $100. Leopold observes humans should behave in the way with respect to nature a. cooperate with it b. use it and abuse it c. destroy itd. let government regulate it. The magnetic flux through a coil containing 10 loops changesfrom 10Wb to 20W b in 0.02s. Find the induced voltage . Attitudes are often resistant to change, even when evidence suggests they perhaps should not be. Does this make sense from a psychological perspective? Based on the social psychological literature, what are some of the reasons for why persuasion commonly fails? You have looked at the current financial statements for J&R Homes, Company. The company has an EBIT of $3.35 million this year. Depreciation, the increase in net working capital, and capital spending were $295,000, $125,000, and $535,000, respectively. You expect that over the next five years, EBIT will grow at 15 percent per year, depreciation and capital spending will grow at 20 percent per year, and NWC will grow at 10 percent per year. The company has $19.5 million in debt and 400,000 shares outstanding After Year 5. the adjusted cash flow from assets is expected to grow at 3.5 percent Indefinitely. The company's WACC is 8.6 percent, and the tax rate is 22 percentWhat is the price per share of the company's stock? (Do not round Intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)Share price The number of moles of CO which contain 8. 00g of oxygen is