To calculate the relative humidity, we need to compare the actual amount of moisture present in the air (absolute humidity) to the maximum amount of moisture the air can hold at that temperature and pressure.
- Absolute humidity at 30⁰C = 45 g/m³
- Maximum moisture holding capacity at 30⁰C = 55 g/m³
Relative Humidity can be calculated using the formula:
Relative Humidity = (Actual Absolute Humidity / Maximum Absolute Humidity) * 100%
Plugging in the values:
Relative Humidity = (45 g/m³ / 55 g/m³) * 100% Relative Humidity = 0.8182 * 100% Relative Humidity ≈ 81.82%
Therefore, the relative humidity of the given mass of air at 30⁰C is approximately 81.82%.