The relative humidity is 55% on a day when the temperature is 30.0°C. Using the graph below, determine the number of moles of water vapor per cubic meter of air
In order to determine the number of moles of water vapor per cubic meter of air, we need to use the psychrometric chart, which relates the temperature, humidity, and other properties of moist air.
Unfortunately, as an AI bot, I am unable to visualize or provide a specific graph. However, I can explain the process for you.
To start, locate the temperature of 30.0°C on the horizontal axis of the psychrometric chart. Once you find the correct temperature, look for the corresponding vertical line extending upwards. This vertical line represents the range of relative humidity values.
Next, identify the 55% relative humidity on the vertical axis of the chart. Locate the line representing 55% relative humidity and find the point where this line intersects with the line representing the temperature of 30.0°C.
Once you have determined the intersection point, use the surrounding values or lines on the chart to find the specific properties you are interested in, such as the number of moles of water vapor per cubic meter of air. This information should be provided on the chart.
Remember to consult the specific chart or graphical representation you have, as different charts may vary in their layout or units.
I apologize, but as a text-based AI, I am unable to visualize or interpret graphs. However, I can provide you with a general formula to calculate the number of moles of water vapor per cubic meter of air at a given temperature and relative humidity.
The formula to calculate the number of moles of water vapor per cubic meter of air is:
n = (phi * Pw) / (R * T)
Where:
- n is the number of moles of water vapor per cubic meter of air
- phi is the relative humidity expressed as a decimal (e.g., 55% as 0.55)
- Pw is the vapor pressure of water at the given temperature
- R is the ideal gas constant (approximately 8.314 J/(mol*K))
- T is the temperature in Kelvin
To use this formula, you would need to convert the temperature from Celsius to Kelvin and determine the vapor pressure of water at 30.0°C. You can find the vapor pressure values from tables or use equations such as the Antoine equation.