Question

A mixture of gases has the composition given in Table 1. It has a total mass of 3.46 kg, and has an initial volume and temperature of 1.273 m3 and 300 K respectively. The mixture undergoes polytropic compression to a final volume of 0.5 m3. The polytropic index for this process is known to be 1.2.

Table 1: Volumetric analysis of a mixture of gases

Constituent Gas	Chemical Symbol	Volumetric Analysis ViV	Molar Mass m˜i [kg/kmol]	Specific Heat Capacity at Constant Pressure Cpi [kJ/(kg K)]
Hydrogen	H2	0.024	2.016	14.31
Carbon dioxide	CO2	0.126	44.01	0.846
Nitrogen	N2	0.457	28.013	1.04
Oxygen	O2	0.393	31.999	0.918

Calculate the:

(i) Density of the mixture before compression:

(ii) Density of the mixture after compression:

(iii) Mass fractions for the mixture's constituent gases:

mH2 / m =  

mCO2 / m =   

mN2 / m =   

mO2 / m =

(iv) Specific gas constant for the mixture:

(v) Specific heat capacity at contant pressure for the mixture:

(vi) Specific heat capacity at contant volume for the mixture:

(vii) Ratio of specific heat capacities (gamma):

(viii) Mean molar mass for the mixture:

(ix) Initial pressure of the mixture:

(xi) Partial pressures of the constituent gases of the mixture before compression:

pH2 =   

pCO2 =   

pN2 =   

pO2 =   

(xii) Pressure of the mixture after compression:

(xiii) Temperature of the mixture after compression:

(xiv) Work transfer for the process:

(xv) Heat transfer for the process:

(xvi) Change in internal energy for the process:

Answer 1

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