Question

When you step out of a shower, the tempurature in the bathrrom is 71 degrees F, and the relative humidity is 96%. You notice that a barely perceptable amount of water has condensed on the inside of the bathroom window.

a) assuming that the air immediatly adjacent to the glass has the same composition as the rest of the room air, estimate the tempurature of the inside of the glass surface.

b) what could you say about the inside surface tempurature if the window were completely drenched with condensate?

Answer 1

When you step out of a shower, the tempurature in the bathrrom is 71 degrees F, and the relative humidity is 96%. You notice that a barely perceptable amount of water has condensed on the inside of the bathroom window.

(a) air immediatly adjacent to the glass has the same composition as the rest of the room air but at 71 degreeF the saturation vapor density will depend on temperature

Relative Humidity = Actual vapor density / Saturation vapor density

Temperature of the inside of glass surface = 71 F * RH = 71 F * 0.96 = 68.16 F

(b) Yhe inside surface tempurature if the window were completely drenched with condensate would be more than the temperature of bathroom as the saturated vapor density will be more