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# System prepended metadata

title: PID-568

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To calculate the absolute humidity and relative humidity, we need to use the formula for absolute humidity, which relates the amount of water vapor in the air to the air temperature and relative humidity. The formula is:

Absolute Humidity (grams/m3) = 6.112 × e^[(17.67 × T)/(T+243.5)] × rh × 2.1674 / (273.15+T)

where T is the air temperature in degrees Celsius, rh is the relative humidity as a percentage, and e is the base of natural logarithms (2.71828).

Using the given values, we can calculate the absolute humidity and relative humidity as follows:

For 250 g of water vapor per cubic meter at 23 °C:

T = 23 °C = 23
rh = 100%
Absolute Humidity = 6.112 × e^[(17.67 × 23)/(23+243.5)] × 1 × 2.1674 / (273.15+23) = 12.8 g/m3
Relative Humidity = 64%

For 800 g of water vapor in 5 cubic meters of air at 23 °C:

T = 23 °C = 23
rh = ?
Absolute Humidity = 6.112 × e^[(17.67 × 23)/(23+243.5)] × rh × 2.1674 / (273.15+23) = 160 g/m3
Solving for rh, we get rh = 78%

Therefore, the absolute humidity and relative humidity for the given conditions are:

1. Absolute humidity 12.8 g/m3, Relative humidity 64%
2. Absolute humidity 160 g/m3, Relative humidity 78%

Note that the given values for complete moisture content and relative humidity in options 3 and 4 cannot be used to calculate the absolute humidity, as we need the air temperature to do so.