Question

1. A tank contains 4 kmol of Carbon Monoxide (CO) gas and 6 kmol of Oxygen (O2) gas at a temperature of 195 K and a pressure of 8.41 MPa. Determine the gas constant of the mixture, (Rm)

2. A tank contains 8 kg of Carbon Monoxide (CO) gas and 2 kg of Oxygen (O2) gas at a temperature of 195 K and a pressure of 8.41 MPa. Determine the gas constant of the mixture, (Rm)

Answer 1

Moles of CO =4kmol

Moles of O2=6kmol

Total no. of moles=N=4+6=10kmol

Let us find mass of mixture

Mole fraction=mass/Molar mass

Hence mass=Mole fraction*Molar mass

For CO molar mass is 26kg/kmol

N_CO=4kmol

mass of CO

For O2 molar mass is 32kg/kmol

N_O2=6kmol

    mass of O2

Total mass=104+192=296kg=m

Average molar mass=

Mixed gas constant=

where R_u is universal gas constant and is given by R_u=8.314 kJ/(kmol K)