On a summer day, the air conditioning breaks down and the air in your classroom becomes very warm…
Home/Education/Expert Q&A/On a summer day, the air conditioning breaks down and the air in your classroom becomes very warm…
On a summer day, the air conditioning breaks down and the air in your classroom becomes very warm and muggy with a vapor pressure of 20 hPa and a temperature of 25? C.
a) If the volume of the classroom is 40 m3, how much water is present in the room in vapor form? Express your answer both as a mass in kg and a liquid-equivalent volume in liters, assuming that the density of liquid water is 1000 kg/m3.
b) If the pressure in the room is 900 hPa, what is the virtual temperature of the air? Express your answer both in K and degrees C.
Click the button below to view answer!
Technifi Expert’s Answer:
e = 20 hPa
= 2000 Pa
T = 25 degrees C
= 298 K
a) V = 40 m^3
density of vapor = (2000 Pa)/(461.8 J/kgK * 298 K)
= 0.0145 kg/m^3
mass in kg = 0.0145 kg/m^3 * 40 m^3
= 0.58 kg
mass is liters = (0.58 kg / 1) * (m^3 / 1000 kg) * (1000 L / m^3)
= 0.58 L
b) p = 900 hPa
= 90000 Pa
Tv = ?
q = (0.622) (2000 / (90000 – (1 – 0.622)(2000)))
Tv = [1 + ((1/epsilon)-1)(q)] * T
= [1 + ((1/0.622)-1)(0.0139)]*298
= 300.5 K
If you happen to run into some problem while following the steps, please make sure to let us know in the comment section below, and we’ll do our best to solve it. Apart from that, you can contact us on Facebook and Twitter, however we can’t guarantee a rapid reaction time over those platform