Question: If water vapor of $60 \% \mathrm{RH}$, temperature of 23 ' $\mathrm{C}$, pressure of 1 atm is cooled to $10^{\prime} \mathrm{C}$, will it be condensed?

If water vapor of $60 \% \mathrm{RH}$, temperature of $23^{\prime} \mathrm{C}$, pressure of $1 \mathrm{~atm}$ is cooled to $10^{\prime} \mathrm{C}$, will it be condensed?

Question

Question: If water vapor of $60 \% \mathrm{RH}$, temperature of 23 ' $\mathrm{C}$, pressure of 1 atm is cooled to $10^{\prime} \mathrm{C}$, will it be condensed?

If water vapor of $60 \% \mathrm{RH}$, temperature of $23^{\prime} \mathrm{C}$, pressure of $1 \mathrm{~atm}$ is cooled to $10^{\prime} \mathrm{C}$, will it be condensed?

Accepted Answer

∻Solution∻ ‖ 1 ⋮ **Understand Relative Humidity (RH)**: Relative humidity is the ratio of the partial pressure of water vapor in the air to the equilibrium vapor pressure of water at a given temperature. ‖ ‖ 2 ⋮ **Determine the Dew Point**: The dew point is the temperature at which air becomes saturated with water vapor and water begins to condense. If the air is cooled below this temperature, condensation will occur. ‖ ‖ 3 ⋮ **Use the RH to Find Dew Point**: Since the air has a relative humidity of $60\%$ at $23^\prime \mathrm{C}$, we need to find the dew point for these conditions. If the dew point is above $10^\prime \mathrm{C}$, then cooling to $10^\prime \mathrm{C}$ will cause condensation. ‖ ‖ 4 ⋮ **Consult Psychrometric Charts or Formulas**: To find the exact dew point, one would typically use a psychrometric chart or formulas that relate temperature, pressure, and relative humidity. These tools would tell us the temperature at which the dew point is reached for a given relative humidity. ‖ ‖ 5 ⋮ **Conclusion Based on Dew Point**: If the dew point calculated from the psychrometric data is above $10^\prime \mathrm{C}$, then cooling the air to $10^\prime \mathrm{C}$ will result in condensation. If it is below, it will not. ‖ ∻Answer∻ ⚹ Without the exact psychrometric data or formulas, we cannot determine the exact dew point and thus cannot definitively say whether condensation will occur. However, if the dew point is above $10^\prime \mathrm{C}$, then condensation will occur when the air is cooled to this temperature. ⚹ ∻Key Concept∻ ⚹ Dew Point and Condensation ⚹ ∻Explanation∻ ⚹ The dew point is the critical temperature below which water vapor begins to condense into liquid water. If the air is cooled below its dew point, condensation occurs. ⚹◊What is the relationship between temperature, relative humidity, and condensation of water vapor according to the Clausius-Clapeyron equation?⍭ Generate me a similar question◊

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