Tutorial 1

1. 13-12 A gas mixture consists of 20 percent O2, 30 percent N2, and 50 percent CO2 on mass basis. Determine the volumetric analysis of the mixture and the apparent gas constant.

2. 13-29 In an ideal gas mixture the partial pressures of the component gases are as follow: CO2, 12.5 kPa; O2, 37.5 kPa; and N2, 50 kPa. Determine the mole fractions and mass fractions of each component. Calculate the apparent molar mass, the apparent gas constant, the constant-volume specific heat, and the specific heat ratio at 300 K for the mixture.

3. 13-32 A rigid tank that contains 2 kg of N2 at 25 oC and 550 kPa is connected to another rigid tank that contains 4kg of O2 at 25 oC and 150 kPa. The valve connecting the two tanks is opened and the two gases are allowed to mix. If the final mixture temperature is 25 oC, determine the volume of each tank and the final mixture pressure.

4. 13-43 The volumetric analysis of a mixture of gases is 30 percent oxygen, 40 percent nitrogen, 10 percent carbon dioxide, and 20 percent methane. This mixture flows through a 2 cm diameter pipe at 8000 kPa and 15oC with a velocity of 3 m/s. Determine the volumetric and mass flow rates of this mixture (a) treating it as an ideal mixture, (b) using a compressibility factor based on Amagad’s law of additive volumes, and (c) Using Kay’s psuedocritical pressure and temperature.

5. 13-54 Propane and air are supplied to an internal combustion engine such that the air-fuel ratio is 16 when the pressure is 95 kPa and the temperature is 30 oC. The compression ratio of

the engine is 9.5. If the compression process is isentropic, determine the required work input for this compression, in kJ/kg of mixture.

6 13-56 A mixture of hydrocarbon gases is composed of 60 percent methane, 25 percent propane, and 15 percent butane by weight. This mixture is compressed from 100 kPa and 20 oC to 1000 kPa in a reversible, isothermal, steady-flow compressor. Calculate the work and heat transfer for this compression pre unit mass of the mixture.