Question

Терміново!!! Біля земної поверхні вдень температура повітря становила 20°С, а в 1м³ міститься 17г водяної пари. Визначте, як зміниться відносна вологість повітря ввечері за очікуваної температури повітря 10°С? Але будь ласка, з повним розв'язком, даю багато балів

Answer 1

Объяснение:

Утвориться: роса, ткман іній

Answer 2

To determine how the relative humidity of the air will change in the evening, we need to consider the relationship between temperature and the capacity of air to hold water vapor. The capacity of air to hold water vapor increases with temperature. When air is saturated with water vapor, it is said to have 100% relative humidity. If the temperature decreases, the air's capacity to hold water vapor decreases, which can lead to an increase in relative humidity if the amount of water vapor remains constant.

In this case, we are given that the temperature near the Earth's surface during the day was 20°C and that there was 17g of water vapor in 1m³ of air. We need to determine how the relative humidity will change in the evening when the expected air temperature is 10°C.

To solve this problem, we can use the concept of the dew point temperature. The dew point temperature is the temperature at which the air becomes saturated with water vapor and condensation begins to form. When the air temperature reaches the dew point temperature, the relative humidity is 100%.

To find the dew point temperature, we can use the following formula:

Dew Point Temperature = (B * F) / (A - F)

Where: - A = 17.27 - B = 237.7 - F = ((A * T) / (B + T)) + ln(RH/100)

T is the temperature in degrees Celsius, and RH is the relative humidity as a percentage.

Let's calculate the dew point temperature using the given data:

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

Step 2: Calculate F: - F = ((17.27 * 293.15) / (237.7 + 293.15)) + ln(100/100) = 293.15 / 1.367 + ln(1) = 214.32 + 0 = 214.32

Step 3: Calculate the dew point temperature: - Dew Point Temperature = (17.27 * 237.7) / (237.7 - 214.32) = 4103.719 / 23.38 = 175.71°C

Now we have the dew point temperature, which is 175.71°C. This means that if the air temperature drops to or below 175.71°C, the air will become saturated with water vapor, and condensation will occur.

Next, we need to determine the relative humidity at the expected evening temperature of 10°C. We can use the following formula:

Relative Humidity = (e / es) * 100

Where: - e is the vapor pressure at the dew point temperature - es is the saturation vapor pressure at the expected evening temperature

To calculate the relative humidity, we need to find the vapor pressure at the dew point temperature and the saturation vapor pressure at 10°C.

Using the Clausius-Clapeyron equation, we can calculate the vapor pressure at the dew point temperature:

e = 6.11 * 10^((7.5 * Td) / (Td + 237.3))

Where Td is the dew