water vapor and temperature

Question

An apartment has the dimensions 20 m by 10 m by 7 m. The temperature is 35°C, and the relative humidity is 52 percent. What is the total mass (in kg) of water vapor in the air in the apartment?

Answer 1

For this temperature - 20 C the maximal humidity is

ρm​=17.3(m3g​)

ρa​=0.5∗17.3=8.65(m3g​)

for mass water vapor

m=17⋅9⋅6⋅8.65=7.94kg