The inside temperature of a wall in a dwelling is 16°C. If the air in the room is at 21°C, what is the maximum relative humidity, in percent, the air can have before condensation occurs on the wall?

Explanation:

The relative humidity is equal to the ratio of the vapor pressure to the saturation pressure at dry-bulb temperature. Maximum relative occurs when air temperature is equal to the dew-point temperature, related to the temperature of the wall. Then:

Saturation Pressure (21°C): (Taken from water tables)

Vapor Pressure (16°C): (Taken from water tables)

The maximum relative humidity is:

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explanation: