В сосуде находится воздух, темпиратура которого 17с и относительная влажность 70 процентов. На сколько уменьшится влажность воздуха, если его нагреть до 100с и в два раза уменьшить объем
The relative humidity of air can be calculated using the following formula:
where:
- RH = Relative humidity (in %)
- es = Vapor pressure of saturated air at the given temperature (in mb)
- ea = Vapor pressure of actual air at the given temperature (in mb)
Since there is no change in the amount of water vapor in the air, the ratio of vapor pressure will remain constant.
Therefore, if we increase the temperature of the air from 17°C to 100°C, the saturation vapor pressure will also increase from 14.5 mb to 1013.2 mb.
If we assume that the volume of the air remains constant, the vapor pressure of actual air will also increase from 10.15 mb to 707.2 mb.
Using the above formula, we can calculate the new relative humidity of the air:
This means that the relative humidity of the air will decrease by approximately 0.2%, which is not a significant change.
However, if we also decrease the volume of the air by half, the vapor pressure of actual air will increase to 1414.4 mb, and the relative humidity will decrease to 49.93%.
Therefore, by increasing the temperature of the air and decreasing its volume, we can significantly reduce the relative humidity. However, this is not a practical solution as it would require specialized equipment and extreme conditions. It would be more efficient to use a dehumidifier to control the relative humidity of the air.
