Humidification Load Calculator

Input Parameters

Imperial (°F, BTU, ft)SI (°C, kW, m)

Room Volume (cu ft)

Current Humidity (%)

Target Humidity (%)

Room Temperature (°F)

Moisture to Add lb

2,230

Humidification Load BTU

8,273

Water Flow Rate lb/hr

Formula:

P_{sat} = 0.611 e^{\frac{17.27T}{237.7+T}}

Calculation:

P_{sat} = 0.611 e^{\frac{17.27 \times 21.1}{237.7 + 21.1}}

Result:

2.4994 \text{ kPa}

Formula:

\Delta P_v = P_{sat}(RH_{target} - RH_{current})

Calculation:

\Delta P_v = 2.4994(50% - 30%)

Result:

499.8787 \text{ kPa}

Formula:

\Delta \rho = \frac{\Delta P_v}{RT}

Calculation:

\Delta \rho = \frac{499.8787}{461.5 \times 294.3}

Result:

0.003681 \text{ kg/m³}

Formula:

m = \Delta \rho \times V

Calculation:

m = 0.003681 \times 283.2

Result:

1.042 \text{ kg}

Formula:

Q_{humid} = m \times h_{fg}

Calculation:

Q_{humid} = 1.042 \times 2257

Result:

2353 \text{ BTU}