Question

Late on an autumn day, the relative humidity is 44.0% and the temperature is 20.0°C. What will the relative humidity be that evening when the temperature has dropped to 10.0°C, assuming constant water vapor density?

Answer 1

Answer:

humidity is 80.95 %

Explanation:

given data

humidity = 44% = 0.44

temperature = 20.0°C

temperature = 10.0°C

to find out

relative humidity

solution

we know humidity formula that is

humidity = $\frac{vapor density}{saturated vapor density}$ × 100   ...................1

so here at 20.0°C

vapor density is

vapor density = humidity × saturated vapor density

here

saturated vapor density at 20.0°C is  17.3 gm/m³

so

vapor density = 0.44 × 17.3

vapor density = 7.61

and

for 10.0°C  

saturated vapor density at 10.0°C is  9.4 gm/m³

so from equation 1

humidity = $\frac{vapor density}{saturated vapor density}$ × 100  

humidity = $\frac{7.61}{9.4}$ × 100  

humidity = 80.95 %