Question

Определите относительную влажность воздуха, если при температуре 30 градусов в нем содержится 10гр. водяного пара.Пожалуйстааа

Answer 1

Нужно 10гр. * 100 = 1000, и затем:
1000 : 30º = 33.333%

Answer 2

Relative Humidity Calculation

To determine the relative humidity of the air at a given temperature with a specific amount of water vapor, you can use the formula:

Relative Humidity = (Actual Water Vapor Pressure / Saturation Water Vapor Pressure) × 100%

Where: - Actual Water Vapor Pressure is the pressure exerted by the water vapor in the air. - Saturation Water Vapor Pressure is the maximum pressure that water vapor can exert at a given temperature.

Calculation Steps

1. Calculate Saturation Water Vapor Pressure at 30°C: - According to the Clausius-Clapeyron equation, the saturation vapor pressure (in mmHg) at a given temperature (T) can be calculated using the formula: Saturation Vapor Pressure (mmHg) = 4.58 × e^(17.27T / (237.7 + T))

- Substituting T = 30°C into the equation: Saturation Vapor Pressure (mmHg) = 4.58 × e^(17.27*30 / (237.7 + 30)) Saturation Vapor Pressure (mmHg) ≈ 31.84 mmHg

2. Calculate Relative Humidity: - Given that the air contains 10g of water vapor, we need to convert this to mmHg to match the units of the saturation vapor pressure. - Using the conversion factor 1g of water vapor ≈ 3.17 mmHg, we can calculate the actual water vapor pressure: Actual Water Vapor Pressure = 10g * 3.17 mmHg/g ≈ 31.7 mmHg

- Now, we can calculate the relative humidity using the formula: Relative Humidity = (31.7 mmHg / 31.84 mmHg) × 100% Relative Humidity ≈ 99.5%

Conclusion

Therefore, at a temperature of 30°C with 10g of water vapor present, the relative humidity of the air is approximately 99.5%.