Definition check: Relative humidity Relative humidity (RH) is defined as the ratio of the actual vapor pressure to the saturation vapor pressure measured under which condition?
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AAt the same temperature
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BAt the same pressure only
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CIn the same volume
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DFor the entire atmosphere column
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EAt the dew-point temperature
Answer
Correct Answer: At the same temperature
Explanation
Introduction / Context:Relative humidity is a basic atmospheric moisture metric used in hydrology, meteorology, HVAC, and environmental engineering. It links the current moisture content to the maximum moisture air can hold at a given temperature, which controls evaporation, condensation, and human thermal comfort.
Given Data / Assumptions:
- Actual vapor pressure e reflects the partial pressure of water vapor present.
- Saturation vapor pressure es is the maximum vapor pressure air can hold at the same temperature before condensation occurs.
- RH is usually expressed as a percentage.
Concept / Approach:
The saturation capacity of air varies strongly with temperature; therefore, RH must compare e and es at the same temperature. Pressure effects are secondary for most surface applications, and “same volume” or “entire atmosphere” are not part of the definition.
Step-by-Step Solution:
Define RH = (e / es) * 100% at the same temperature.Recognize that when air cools at constant water content, es drops and RH rises, reaching 100% at the dew point.Apply RH in evaporation estimates and comfort indices as a temperature-relative measure.Verification / Alternative check:
Psychrometric charts and Clausius–Clapeyron relations emphasize the temperature dependence of es, corroborating the definition.
Why Other Options Are Wrong:
- Same pressure only / same volume: Not the definitional condition for RH.
- Entire atmosphere / dew-point: Dew-point is where RH is 100%, not the reference condition for defining RH.
Common Pitfalls:
- Confusing absolute humidity or specific humidity with RH.
- Assuming RH alone determines comfort without considering temperature and air movement.
Final Answer:
At the same temperature.