Psychrometric relationships — select all correct statements Which of the following statements about moist-air properties and chart lines are correct?
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AThe constant enthalpy lines are also constant wet-bulb temperature lines.
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BThe wet-bulb and dry-bulb temperatures are equal at saturation.
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CWet-bulb temperature is a practical indicator related to the enthalpy of moist air.
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Dall of the above
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Enone of the above
Answer
Correct Answer: all of the above
Explanation
Introduction / Context:Engineers rely on the psychrometric chart to visualize moist-air processes such as cooling and dehumidification, evaporative cooling, and reheat. Understanding how enthalpy, wet-bulb temperature, and saturation are related is critical for quick, accurate analysis.
Given Data / Assumptions:
- Standard atmospheric pressure psychrometric chart conventions.
- Definitions of dry-bulb temperature, wet-bulb temperature, relative humidity, and specific enthalpy.
Concept / Approach:Lines of constant wet-bulb temperature on the chart nearly coincide with constant enthalpy lines (minor deviations exist but are negligible for HVAC calculations). At saturation, evaporation from a wetted wick ceases, making wet-bulb equal to dry-bulb. Because wet-bulb embodies both sensible and latent effects, it closely tracks the enthalpy of moist air, serving as a convenient field indicator for energy content.
Step-by-Step Solution:Evaluate (a): On the chart, h ≈ constant along constant T_wb lines → commonly used for adiabatic process plotting.Evaluate (b): Saturation line (RH = 100%) shows T_db = T_wb.Evaluate (c): Enthalpy changes correlate strongly with T_wb because evaporative processes approximate constant h.Conclusion: All statements are concurrently valid for HVAC practice.
Verification / Alternative check:Run a quick calculation: adiabatic humidification follows nearly constant h and constant T_wb, confirming the practical equivalence.
Why Other Options Are Wrong:(e) is incorrect because at least one—and in fact all—statements are true. Choosing any single statement alone misses the comprehensive relationship among these properties.
Common Pitfalls:Over-interpreting small chart discrepancies between exact constant-h and constant-T_wb lines; for design estimates, their coincidence is sufficiently accurate.
Final Answer:all of the above