Which of the following assumptions is/are used when calculating ideal gas mixtures?

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Question restatement: The prompt asks which assumptions are used when calculating ideal gas mixtures, and the provided answer choices are:
- c. the components behave independently
- d. the components behave according to ideal gas law

Option c analysis: The assumption that components behave independently is central to ideal gas mixture theory. It implies there are negligible interactions between different gas molecules, so the presence of one component does not alter the microscopic behavior of another. This independence underpins Dalton’s law of partial pressures and the treatment of each component as contributing to the mixture’s properties without cross-interactions. Misconceptions to watch out for: if there were strong intermolecular forces between species, the ideal gas model would fail, and this assumption would be invalid.

Option d analysis: The statement that components behave according to the ideal gas law reflects the fundamental premise that each gas, within the mixture, follows P V = n R T as if it were an ideal gas. In the ideal gas mixture framework, the equation of state applies to the gas as a whole, and each component’s partial pressure aligns with its mole fraction, consistent with the ideal gas behavior. A common pitfall would be assuming real-gas deviations are negligible at all conditions; this assumption holds only within the ideal gas approximation, i.e., low pressures and high enough temperatures where interactions and finite molecular volumes are inconsequential.

Putting these together: Both statements describe core, compatible assumptions used in ideal gas mixture calculations. The independence of components ensures no cross-interactions distort behavior, while the ideal gas law governing the components ensures that pressure, volume, temperature, and moles relate as in ideal gas theory. Misconceptions to avoid include thinking that ideal gas mixtures require significant inter-species interactions, or that the mixture as a whole obeys a different equation of state than the ideal gas law for its constituents.

BH20A0720 Engineering Thermodynamics - Blended teaching 2.9.2024-15.12.2024 Quiz 7

Which of the following assumptions is/are used when calculating ideal gas mixtures?

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