Problem 3 Gas Mixtures (50 points)

Question

A gas mixture with mass fractions of C4H10 butane (6.11%), oxygen (21.88%), and nitrogen

(72%) is compressed in a piston-cylinder device during the compression stroke of an ideal Diesel

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The initial volume of the cylinder is 0.5L, and the initial conditions are 95kPa and 290K. The

engine compression ratio is 22.

(a) the mole fractions of the components

(b) the molar mass of the mixture

(c) the gas constant for the mixture

(d) the specific heat ratio for the mixture (hint k-Cp/Cv)

(e) the mass of the mixture in the cylinder

(f) the temperature at the end of the compression process

(g) the work done on the mixture during the compression process (kJ)

*There's no value of Cp for Butane in our text. Please use Cp = 1.7164 kJ/kg K