question archive The Redlich-Kwong equation of state is given by P = RT/v-b – a/v(v+b)ÖT Where R=gas constant for methane (0

The Redlich-Kwong equation of state is given by P = RT/v-b – a/v(v+b)ÖT Where R=gas constant for methane (0

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The Redlich-Kwong equation of state is given by P = RT/v-b – a/v(v+b)ÖT

Where R=gas constant for methane (0.518kj/(kg k)

T= absolute temperature, K

P= absolute pressure, kPa

V= specific volume, m3/kg

The parameters a and b are calculated by

a = 0.427R2T2.5c/Pc,   and  b = 0.0866R Tc/Pc

Where Pc = 4600kPa,     Tc = 191 K

As a chemical engineer you are asked to determine the amount of methane fuel that can be held in a 3m3 tank at a temperature of -40 °C with a pressure of 65,000 kPa. Determine the value of v, and then determine the mass of methane contained in the tank. (Note that you need to change T to an absolute temperature)

a) Solve this completely using the symbolic algebra capability in MATLAB.

b) Solve using a numerical method of your choice. The root is between 0.0025 and 0.004 mÙ3/kg.

Assign a convergence factor in your calculations, es, such that the answer will have at last 3 significant figures.

 

pur-new-sol

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