Vander Waa Ls

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van der waals equation formulas for z, compressiblity factor determination

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ChE 412: Chemical Engineering Thermodynamics 1August ____, 2013

Volumetric Properties of Pure Fluids

1. For methyl chloride at 100C the virial coefficients are:

B = -242.5 cm3 mol-1 C = 25, 200 cm6 mol-2

Calculate the work of mechanically reversible, isothermal compression of 1 mol of methyl chloride from 1 bar to 55 bars at 100C. Base calculations on the following forms of the virial equations:

(a)Z=1+BV

+ CV 2

(b) Z=1+B ' P+C ' P2

Where: B'=BRT

and C'=C−B2

(RT )2

ChE 412: Chemical Engineering Thermodynamics 1August ____, 2013

2. Calculate Z and V for ethylene at 25C and 12 bar by the following equations.a. Equation 3.40 with the following experimental values of the virial

coefficients: B= - 140 cm3/mol and C = 7200 cm6/mol2

b. Redlich/Kwong equationc. The Soave/Redlick/Kwong equationd. The Peng/Robinson equation

ChE 412: Chemical Engineering Thermodynamics 1August ____, 2013

3. Calculate Z and V for ethane at 50C and 15 bars by the following equations:

ChE 412: Chemical Engineering Thermodynamics 1August ____, 2013

a. Truncated virial equation 3.40 with B = -156.7 cm3/mol and C = 9650 cm6/mol2

b. Redlich/Kwong equationc. The Soave/Redlick/Kwong equationd. The Peng/Robinson equation

ChE 412: Chemical Engineering Thermodynamics 1August ____, 2013

4. Calculate Z and V for sulfur hexafluoride at 75C and 15 bars by the following equations

a. Truncated virial equation, 3.39 with B = -194 cm3/mol and C = 15,300 cm6/mol2

ChE 412: Chemical Engineering Thermodynamics 1August ____, 2013

b. Redlich/Kwong equationc. The Soave/Redlick/Kwong equationd. The Peng/Robinson equation

For sulfur hexafluoride, Tc = 318.7 K, Pc =37.6 bar, Vc = 198 cm3/mol and = 0.286