# A tank contains methane at 100

A tank contains methane at 1000psia and 140F. Another tank ofequal volume contains ethane at 500psia and 140F. The two tanks areconnected, the gases are allowed to mix and the temperature isrestored to 140F. Calculate the final pressure, the composition ofthe mixture, and the partial pressures of the components at finalconditions. Do not assume that ideal gas equations apply.

Z-factor for methane is 0.95, and ethane is 0.77

Solution.

The equation is

The amount of methane is

The amount of ethane is

The composition of mixture is by amount.

If Vtank = 1, the volume of each container is 0.5 andpartial pressure of methane is

p = nzRT = 0.163(0.95)(10.732)(140+460)/2 = 498.6 psia

the partial pressure of ethane is

p = nzRT = 0.101(0.77)(10.732)(140+460)/2 = 250.4 psia

Therefore, the final pressure is 250.4+498.6=749.0 psia.

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