Answer:
In order to increase humidity by 49.17 grams per kilogram, the increase in temperature will be 18 degree Celsius approx.
Step-by-step explanation:
Initial humidity = 5.75 g/kg
Final humidity= 49.17 g/kg
Percentage increase in humidity= (49.17-5.75)/5.75 *100= 755.13
Increase in temperature= 755.13/43 = 17.56
Increase in temperature = 18 degree Celsius approx.
Answer:
The temperature must increase by more than 6 degree Celsius for the humidity to reach at least 49.17 grams per kilogram
Step-by-step explanation:
Given : Humidity on Monday morning = 5.75 grams per kilogram
To Find: He wants to know how much the temperature must increase for the humidity to reach at least 49.17 grams per kilogram.
Solution :
Let T be the increase in temperature, in degrees celsius, from monday morning.
According to question
The humidity measured in grams of water per kilogram of air, increases by 43% for every 1 degree Celsius increase in temperature.
So. Rate of increment is 43%
So, it becomes : [tex]100+43=143\% =1.43[/tex]
43% increases for every 1 degree celsius.
So, for T the increase is 1.43*T
So, [tex]1.43T\geq \frac{49.17}{5.75}[/tex]
[tex]1.43T\geq 8.55[/tex]
[tex]T\geq \frac{8.55}{1.43}[/tex]
[tex]T\geq 5.97[/tex]
Thus the temperature must increase by more than 6 degree Celsius for the humidity to reach at least 49.17 grams per kilogram
