Question

select the correct answer.
the device shows the relative humidity at 58% and the temperature at 22 degrees celsius. whats the water - vapor density if the maximum water vapor in air at this temperature is 20 grams/cubic meter?
a. 11.6%
b. 11.6 g/m³
c. 12.7%
d. 12.7 g/m³

Explanation:

Step1: Recall relative humidity formula

Relative humidity ($RH$) is given by the formula $RH=\frac{\text{Actual vapor density}}{\text{Saturation vapor density}}\times100\%$. We need to find the actual vapor density. Rearranging the formula for actual vapor density gives $\text{Actual vapor density}=\frac{RH}{100\%}\times\text{Saturation vapor density}$.

Step2: Substitute given values

We are given that $RH = 58\%$ and saturation vapor density at $22^{\circ}C$ is $20\ g/m^{3}$. Substituting these values into the formula: $\text{Actual vapor density}=\frac{58}{100}\times20\ g/m^{3}$.

Step3: Calculate

$\frac{58}{100}\times20=\frac{58\times20}{100}= 11.6\ g/m^{3}$.

Answer:

B. $11.6\ g/m^{3}$