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The relative humidity on a summer day is 80 percent. The temperature is 35 °C. Will the dew point be reached if the temperature drops to 25 C later in the evening? Use the table below to find the amount of water vapor needed for saturation at each temperature. Show your work.

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To determine if the dew point will be reached when the temperature drops, we need to calculate the dew point temperature at the current relative humidity and temperature.

Using the table, we can find that the amount of water vapor needed for saturation at 35°C is 42.1 g/m3. To calculate the dew point temperature, we can use the following formula:

dew point temperature = (243.12 × ln(RH/100) + 17.62 × T / (243.12 + T)) / (17.62 - ln(RH/100) - 243.12 × T / (243.12 + T))

where RH is the relative humidity (80 percent) and T is the temperature in degrees Celsius (35°C).

Plugging in the values, we get:

dew point temperature = (243.12 × ln(80/100) + 17.62 × 35 / (243.12 + 35)) / (17.62 - ln(80/100) - 243.12 × 35 / (243.12 + 35))

dew point temperature = 29.9°C

This means that the air would have to cool to 29.9°C in order for the dew point to be reached and condensation to occur. Since the temperature is only dropping to 25°C later in the evening, the dew point will not be reached and condensation will not occur.

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