Furnace Gas Balancer
Baseline N₂ and liquid methanol flows before gas setup. Enter desired total gas flow (STP) and target CO % — the calculator reverses the methanol cracking balance and returns exact setpoints.
m³/h
%
Results
Target CO content:
— %
H₂ content:
— %
N₂ content:
— %
Nitrogen (N₂) Flow:
— m³/h
Liquid Methanol Flow:
— l/h
Methanol Gas Volume:
— m³/h
Math & Formulas
To achieve a CO content of % in a total gas flow of m³/h, we followed these steps:
1. Calculate H₂ content:
$$ \% \text{H}_2 = 2 \times \% \text{CO} $$
For every mole of methanol, 1 mole of CO and 2 moles of H₂ are produced.
2. Calculate N₂ content:
$$ \% \text{N}_2 = 100 - (\% \text{CO} + \% \text{H}_2) $$
Nitrogen is the remaining portion of the gas mixture.
3. Calculate Nitrogen flow:
$$ Q_{\text{N}_2} = \frac{\% \text{N}_2}{100} \times Q_{\text{total}} $$
4. Calculate Methanol Gas volume:
$$ V_{\text{CH}_3\text{OH, g}} = Q_{\text{total}} - Q_{\text{N}_2} $$
The gas volume from methanol at STP (0 °C, 1 atm).
5. Calculate Methanol Moles:
$$ n = \frac{V_{\text{CH}_3\text{OH, g}}}{3 \times V_m} $$
Where $V_m = 0,022414 \, \text{m}^3/\text{mol}$ is the molar volume at STP.
6. Calculate Methanol Mass flow:
$$ \dot{m} = n \times M $$
Where $M = 0,03204 \, \text{kg/mol}$ is the molar mass of methanol.
7. Calculate Liquid Methanol flow:
$$ Q_{\text{liquid}} = \frac{\dot{m}}{\rho} $$
Where $\rho = 0,792 \, \text{kg/l}$ is the density of methanol.