Question

The air inside a room is at a temperature of 35°C and has a mixing ratio of 7.6 g/kg. a) What is the relative humidity? % b) What is the dew point? °C c) If the room temperature decreases by 5°C per hour, how many hours will it take for the air to reach saturation? hours d) After reaching saturation, if the temperature of the room continues to decrease for one more hour, approximately how many grams of water vapor (per kg of air) will ahve had to condense out of the air to maintain a relative humidity of 100%? g/kg

Answer 1

temp: 35° c (95°f)

MR:7.6

SMR: 36.5

RH: 21% (20.82)

Dew Point: 10° C

5°c per hour: 5 hours for the 35°c air temp to reach the 10°c dew point

1 more hour: Temperature will decrease to 5°c, half the water molecules dewpoint "size" I view it as, and 3.8g/kg of water vapour has condensed out

so

1. 21%

2. 10° C

3. 5 hours

4. 3.8g/kg

Answer 2

(a). The relative humidity is 20.57%

(b). The dew point is 79.114°F

(c). It take for the air to reach saturation is 17 hours.

(d). The water is 7.6g/kg.

Step-by-step explanation:

Given that,

Temperature = 35°

Mixing ratio = 7.6 g/kg

(a). We need to calculate the relative humidity

Using formula of relative humidity

`relative humidity=(mixing\ ratio)/(36)*100`

`relative humidity=(7.6)/(36.94)*100`

`relative humidity=20.57\%`

(b). We need to calculate the dew point

Using formula of dew point

`dew\ point=T^(\circ)F-((100-relative\ humidity))/(5)`

Put the value into the formula

`dew\ point=95-(100-20.57)/(5)`

`dew\ point=79.114^(\circ)F`

(c). If the room temperature decreases by 5°C per hour

We need to calculate the time

Using formula of time

`t=(T_(a)-increase\ temperature)/(5)`

Put the value into the formula

`t=(95-10)/(5)`

`t=17\ hours`

(d). If the temperature of the room continues to decrease for one more hour,

We need to calculate the how many grams of water vapor

Using given data

The water of 7.6g/kg vapour will have to condense out of air for the maintain relative humidity at 100%

Hence, (a). The relative humidity is 20.57%

(b). The dew point is 79.114°F

(c). It take for the air to reach saturation is 17 hours.

(d). The water is 7.6g/kg.