Question

как изменится относительная влажность воздуха при его охлаждении с +200С до +100С, если его первоначальная абсолютная влажность составляла 7 г/м3? запишите ход решения и ответы

Answer 1

Ответ:200-100=100С 100С×7=700

Объяснение:

Answer 2

Calculation of Relative Humidity

To calculate how the relative humidity changes when air is cooled from 20°C to 10°C, we need to consider the relationship between temperature, absolute humidity, and relative humidity.

The relative humidity (RH) is the ratio of the actual amount of water vapor present in the air to the maximum amount of water vapor the air can hold at a particular temperature. It is expressed as a percentage.

The formula to calculate relative humidity is:

RH = (Actual Vapor Pressure / Saturation Vapor Pressure) x 100

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

To solve this problem, we need to find the actual vapor pressure at both 20°C and 10°C and then calculate the relative humidity at each temperature.

Calculation Steps:

Step 1: Convert the initial temperature from 20°C to Kelvin. - 20°C + 273.15 = 293.15 K

Step 2: Convert the final temperature from 10°C to Kelvin. - 10°C + 273.15 = 283.15 K

Step 3: Calculate the saturation vapor pressure at 20°C using the Clausius-Clapeyron equation. - Saturation Vapor Pressure at 20°C (P1) = 0.61121 * exp((18.678 - (T1 / 234.5)) * (T1 / (257.14 + T1))) - Substituting T1 = 293.15 K into the equation: - P1 = 0.61121 * exp((18.678 - (293.15 / 234.5)) * (293.15 / (257.14 + 293.15))) - P1 ≈ 2.338 kPa

Step 4: Calculate the saturation vapor pressure at 10°C using the same equation. - Saturation Vapor Pressure at 10°C (P2) = 0.61121 * exp((18.678 - (T2 / 234.5)) * (T2 / (257.14 + T2))) - Substituting T2 = 283.15 K into the equation: - P2 = 0.61121 * exp((18.678 - (283.15 / 234.5)) * (283.15 / (257.14 + 283.15))) - P2 ≈ 1.227 kPa

Step 5: Calculate the actual vapor pressure at 20°C using the given absolute humidity. - Actual Vapor Pressure at 20°C (A1) = Absolute Humidity * Atmospheric Pressure - Given Absolute Humidity = 7 g/m³ and Atmospheric Pressure ≈ 101.325 kPa - A1 = 7 g/m³ * (101.325 kPa / 1000 g) - A1 ≈ 0.709 kPa

Step 6: Calculate the actual vapor pressure at 10°C using the same formula. - Actual Vapor Pressure at 10°C (A2) = Absolute Humidity * Atmospheric Pressure - A2 = 7 g/m³ * (101.325 kPa / 1000 g) - A2 ≈ 0.709 kPa

Step 7: Calculate the relative humidity at 20°C. - RH1 = (A1 / P1) x 100 - RH1 = (0.709 kPa / 2.338 kPa) x 100 - RH1 ≈ 30.33%

Step 8: Calculate the relative humidity at 10°C. - RH2 = (A2 / P2) x 100 - RH2 = (0.709 kPa / 1.227 kPa) x 100 - RH2 ≈ 57.82%

Answer:

The relative humidity of the air changes from approximately 30.33% at 20°C to approximately 57.82% at 10°C, given an initial absolute humidity of 7 g/m³.

Please note that the calculations provided are based on the given information and assumptions.