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Q3. A pressure vessel contains 1 kmol of a stoichiometric mixture of methane CH₄ and air. The mixture is at a pressure and temperature of 1.05 bar and 20°C respectively.

Calculate EACH of the following:

(a) the volumetric analysis of the mixture; (5)

(b) the mass analysis of the mixture; (3)

(c) the volume of the pressure vessel; (3)

(d) the partial pressures of the methane, oxygen and nitrogen. (5)

Note: atomic mass relationships H = 1, C = 12, 0 = 16, N = 14.

universal gas constant= 8.3145 kJ/kmol K.

air contains 21% oxygen by volume.