Question

On a certain day, the temperature is and the relative humidity is 90.0%. How many grams of water must condense out of each cubic meter of air if the temperature falls to ? Such a drop in temperature can, thus, produce heavy dew or fog.

a) 5°C
b) 8°C
c) 10°C
d) 15°C

Answer 1

To determine the amount of water that condenses, calculate the saturation density at the higher and lower temperatures and subtract the two values.

Step-by-step explanation:

In order to determine the amount of water that must condense out of each cubic meter of air, we need to calculate the saturation density at the higher temperature and then subtract the saturation density at the lower temperature. The formula to calculate the saturation density of water vapor at a given temperature is:

saturation density = (0.622 * vapor pressure) / (R * temperature)

Using this formula, we can calculate the saturation density at 25.0°C and 15.0°C respectively, and subtract the two values to find the amount of water that condenses.