Question

QUESTION 1

A methane gas is kept in a container at T=248K and P=92 bar. 

Calculate:

reduce pressure Pr= 
and reduced temperature Tr=.  

Please enter your answers with 2 decimals.

QUESTION 2

find the figure of Z as a function of Pr and Tr , based on the last question,

find z=,

and then calculate the molar volume (L/mole) of this gas Vm=.

Please enter your answer with two decimals.

Answer 1

(1)

(a)

Reduced pressure, Pr = P/Pc

Here, Pc = Critical pressure = 45.79 atm = 46.39 bar

So,

Pr = 92/46.39 = 1.983 which is apprimately equal to 2.0

(b)

Reduced temperature, Tr = P/Tc

Here, Tc = Critical temperature = 190.8 K

So,

Tr = 248/190.8 = 1.3

(2)

The compressibility factor as seen from the general compressibility factor chart at the above calculated reduced parameter values for methane is:

Z = 0.72

Thus, we calculate molar volume as follows:

Z = (P*Vm)/(R*T)

Putting values we get:

0.72 = (90.79*Vm)/(0.0821*248)

Solving we get:

Vm = 0.161 L/mol

Hope this helps !