When two air flows, whose mass flow rates, temperatures and relative humidities are known, are mixed, the state of the mixed air can be found by

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First, let's recall the goal: determine the state of the mixed air when two streams with known mass flow rates, temperatures, and relative humidities are combined.
Option c discusses using the Mollier chart, connecting the two inlet state points with a straight line and placing the mixed-state point along that line according to the mass flow rate ratio. This method relies on the fact that enthalpy–humidity relationships for moist air are approximately linear between two states, so the mixture state falls on the line joining the two inlet states. By weighting the position on that line by the mass flow rate ratio, you can locate the mixed state consistently with energy and moisture balance principles.
Option d proposes performing explicit mass and energy balances for the mixture of water vapor and dry air. This is a fundamental, direct approach: you compute the total mass of dry air and water vapor in the mixture and conserve energy to find the mixture's enthalpy, from which you can deduce temperature and humidity ratio. This method is robust and widely used, especially when a Mollier chart is not convenient or when precise enthalpy calculations are required.
Option A is not present in the provided list, so it cannot be evaluated here.
Option b (if considered) would typically refer to a single-parameter method or an assumption not required by the problem; however, since it is not included in the given options, it does not factor into the analysis.
In summary, both the Mollier-line method (option c) and the mass-and-energy-balance method (option d) are valid and common ways to determine the mixed air state in psychrometric problems, offering complementary perspectives: graphical versus algebraic. The choice between them depends on the tools at hand and the level of precision needed.

BH20A0720 Engineering Thermodynamics - Blended teaching 2.9.2024-15.12.2024 Quiz 8

When two air flows, whose mass flow rates, temperatures and relative humidities are known, are mixed, the state of the mixed air can be found by

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