Chapter U3, Problem C12.5RE

Interpretation Introduction

Interpretation: The relative humidity needs to be determined.

Concept Introduction:

The relative humidity is related to water vapor density as follows:

  $\text{Relative humidity}=\frac{\text{Measured water vapor density}}{\text{Maximum possible water vapor density}}\times 100\%$

Answer to Problem C12.5RE

  $68.2\%$

Explanation of Solution

The water vapor density is 1.5 moles per 1000 L at 35 ^oC and the maximum water vapor density at 35 ^oC is 2.2 moles /1000 L thus, relative humidity can be calculated as follows:

  $\text{Relative humidity}=\frac{\text{Measured water vapor density}}{\text{Maximum possible water vapor density}}\times 100\%$

Putting the values,

  $\begin{array}{l}\text{Relative humidity}=\frac{\text{1}\text{.5 moles/1000 L}}{\text{2}\text{.2 moles/1000 L}}\times 100\%\\ =68.2\%\end{array}$

Conclusion

Thus, the relative humidity is $68.2\%$ .