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17 Nov 2019
Ideal Gas Mixtures: In real-world engineering practice many working thermodynamic fluids are rarely pure substances but rather mixtures of multiple fluids. Ambient air, for example, is itself a mixture of several species whose composition may change with climate, altitude, and many other environmental factors. The ambient environment is also often rarely "dry"' but rather a mixture of air and some amount of water vapor, especially in sub-tropical climates like Florida. The chemistry of ideal gas mixtures is greatly influenced by the concentration of each species in the mixture, which is usually defined in terms of mole fraction, and mass fraction defined as: y_i = n_i/n, x_i = m_i/m where n_i is the number of moles of species i, and n is the total number of moles, and m is the total mass in the mixture such that: n = sigma_i n_i, m = sigma_i m_i Many fluid properties are weighted averages of the constituents' properties based on the mole fractions: M = sigma_i y_i M_i, R = (sigma_i y_i/R_i)^-1, c_p/R = sigma_i y_i (c_p/R)_i Based on these definitions, calculate the molecular weight, M, the gas constant, R, the specific heats c_p and c_v, and the specific heat ratio, k, and the mass, m, of a gas mixture that is 80% air and 20% water by mole.
Ideal Gas Mixtures: In real-world engineering practice many working thermodynamic fluids are rarely pure substances but rather mixtures of multiple fluids. Ambient air, for example, is itself a mixture of several species whose composition may change with climate, altitude, and many other environmental factors. The ambient environment is also often rarely "dry"' but rather a mixture of air and some amount of water vapor, especially in sub-tropical climates like Florida. The chemistry of ideal gas mixtures is greatly influenced by the concentration of each species in the mixture, which is usually defined in terms of mole fraction, and mass fraction defined as: y_i = n_i/n, x_i = m_i/m where n_i is the number of moles of species i, and n is the total number of moles, and m is the total mass in the mixture such that: n = sigma_i n_i, m = sigma_i m_i Many fluid properties are weighted averages of the constituents' properties based on the mole fractions: M = sigma_i y_i M_i, R = (sigma_i y_i/R_i)^-1, c_p/R = sigma_i y_i (c_p/R)_i Based on these definitions, calculate the molecular weight, M, the gas constant, R, the specific heats c_p and c_v, and the specific heat ratio, k, and the mass, m, of a gas mixture that is 80% air and 20% water by mole.