Separation units often use membranes, absorbers, and other devices to reduce the mole fraction of selected constituents in gaseous mixtures. Consider a mixture of hydrocarbons that consists of 62 percent (by volume) methane, 28 percent ethane, and 10 percent propane. After passing through a separator, the mole fraction of the propane is reduced to 1 percent. The mixture pressure before and after the separation is 100 kPa. Determine the change in the partial pressures of all the constituents in the mixture.

See explanation

Explanation:

We first obtain the mole fraction of propane at the start and end;

0.01 = x/0.62 + 0.28 + x

0.01[0.62 + 0.28 + x] = x

0.01[0.9 + x] =x

9 * 10^-3 + 0.0.1x = x

9 * 10^-3 = x - 0.0.1x

9 * 10^-3 = 0.99x

x = 9 * 10^-3/0.99

x = 9.09 * 10^-3

After

For methane

0.62/ 0.28 + 0.62 + 9.09 * 10^-3     = 0.68

For ethane

0.28/0.28 + 0.62 + 9.09 * 10^-3       =0.31

Change in partial pressure of methane = (0.68 - 0.62) * 100kPa = 6 kPa

Change in partial pressure of ethane = (0.31 - 0.28) * 100kPa = 3 kPa

Change in partial pressure of propane= (0.01 - 0.1) * 100kPa = -9 kPa

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explanation:

two years ago, when picking flowers in the mountains back of yosemite valley, i found a book. it was blotted and storm-beaten; all of its outer pages were mealy and crumbly. the paper seemed to dissolve like the snow beneath which it had been buried, however; many of the inner pages were well preserved. and although all were more or less stained and torn, whole chapters were easily readable. this is the condition of the great open book of yosemite glaciers today; its granite pages have been torn and blurred by the same storms that wasted the castaway book.

two years ago, when picking flowers in the mountains back of yosemite valley; i found a book. it was blotted and storm-beaten, all of its outer pages were mealy and crumbly. the paper seemed to dissolve like the snow beneath which it had been buried, however, many of the inner pages were well preserved. and although all were more or less stained and torn; whole chapters were easily readable. this is the condition of the great open book of yosemite glaciers today, its granite pages have been torn and blurred by the same storms that wasted the castaway book.