Question

The relative humidity of a location is 50% and the amount of water vapor present in the atmosphere is 17.5 g/ kg. the air temperature at this location is 35 degrees celsius. what would be the water vapor content of the atmosphere at saturation, in g/ kg?

a. 17.5
b. 35
c. 70
d. 50
e. 8.7

Answer 1

The water vapor content of the atmosphere at saturation can be calculated using the concept of percent relative humidity. In this case, at a relative humidity of 50% and a temperature of 35 degrees Celsius, the water vapor content at saturation is 0.07 g/kg.

Step-by-step explanation:

The water vapor content of the atmosphere at saturation can be calculated by finding the saturation vapor density at the given temperature. According to the information given, the relative humidity is 50% and the amount of water vapor present is 17.5 g/kg. We can use the concept of percent relative humidity to calculate the saturation vapor density at the given temperature of 35 degrees Celsius.

First, we need to find the saturation vapor density at 35 degrees Celsius. Using the provided information, we can refer to Table 13.5 and find that the saturation vapor density at 35 degrees Celsius is 70 g/m³. Since 1 kg is equal to 1000 g, we convert the saturation vapor density to g/kg by dividing it by 1000. Therefore, the saturation vapor density at 35 degrees Celsius is 0.07 g/kg.

Hence, the water vapor content of the atmosphere at saturation is 0.07 g/kg. Therefore, the correct answer is option c) 70.