Respuesta :
Answer : The correct option is, (c) 79.62
Explanation :
The formula used for percent humidity is:
[tex]\text{Percent humidity}=\text{Relative humidity}\times \frac{p-p^o_v}{p-p_v}\times 100[/tex] ..........(1)
The formula used for relative humidity is:
[tex]\text{Relative humidity}=\frac{p_v}{p^o_v}[/tex] ...........(2)
where,
[tex]p_v[/tex] = partial pressure of water vapor
[tex]p^o_v[/tex] = vapor pressure of water
p = total pressure
First we have to calculate the partial pressure of water vapor by using equation 2.
Given:
[tex]p=750mmHg[/tex]
[tex]p^o_v=17.5mmHg[/tex]
Relative humidity = 80 % = 0.80
Now put all the given values in equation 2, we get:
[tex]0.80=\frac{p_v}{17.5mmHg}[/tex]
[tex]p_v=14mmHg[/tex]
Now we have to calculate the percent humidity by using equation 1.
[tex]\text{Percent humidity}=0.80\times \frac{750-17.5}{750-14}\times 100[/tex]
[tex]\text{Percent humidity}=79.62\%[/tex]
Therefore, the percent humidity is 79.62 %
