Answer to Question #257393 in General Chemistry for grey tyrant

Question

Calculate the partial pressures of all components in a mixture that contain 1.0 mole of CO2, 2.0 moles CH4 and 1.5 moles of CO in a constant volume vessel at 120.0 kPa and 20oC.

Answer 1

Compute for the total number of moles of gas.

nT = n CO2 + n CH4 + n CO

nT = 1.0 mol + 2.0 mol + 1.5 mol

nT = 4.5 mol

Compute the mole fraction of each gas.

For CO2

X CO2 = n CO2 / nT

X CO2 = 1.0 mol / 4.5 mol

X CO2 = 0.22222

For CH4

X CH4 = n CH4 / nT

X CH4 = 2.0 mol / 4.5 mol

X CH4 = 0.44444

For CO

X CO = n CO / nTX CO = 0.33333

Calculate the partial pressures of each ga

For C

P CO2 = (X CO2)(P

P CO2 = (0.22222)(182.34 kP

P CO2 = 40.52 k

For C

P CH4 = (X CH4)(P

P CH4 = (0.44444)(182.34 kP

P CH4 = 81.04 k

For

P CO = (X CO)(P

P CO = (0.33333)(182.34 kP

P CO = 60.78 kPaa)T)COPaa)T)H4Paa)T)O2s.