A variable-bypass vaporiser splits fresh gas so that a precise fraction picks up anaesthetic vapour, delivering the dialled volume-percent of agent to the patient. This calculator turns the dial setting and flow into the practical numbers an anaesthetist cares about: how deep the anaesthesia is in MAC terms and how fast the liquid agent is being used.
How it works
For a calibrated vaporiser the delivered concentration simply equals the dial setting. The volume of agent vapour added each minute is the fresh gas flow scaled by that fraction, and the liquid used follows from the agent’s expansion ratio:
vapour mL/min = FGF_mL/min * (dial% / 100)
liquid mL/h = (vapour mL/min * 60) / expansion
Each agent has a characteristic liquid-to-vapour expansion at 20 degrees Celsius: roughly 183 mL of vapour per mL of liquid for sevoflurane, 195 for isoflurane, 210 for desflurane, and 227 for halothane. Depth is reported as a MAC multiple by dividing the delivered vol% by the agent’s standard 1-MAC value.
Worked example: sevoflurane at low flow
Sevoflurane at 2% on 2 L/min:
- Vapour added:
2,000 mL/min x (2/100) = 40 mL/min - Liquid used per hour:
(40 x 60) / 183 = 13.1 mL/hr - Depth:
2% / 2.0% (1-MAC sevo) = 1.0 MAC
Drop the flow to 1 L/min while keeping the dial at 2%:
- Vapour added:
1,000 x 0.02 = 20 mL/min - Liquid used per hour:
(20 x 60) / 183 = 6.6 mL/hr - Depth: still 1.0 MAC (delivered concentration unchanged)
The flow halved the agent consumption while maintaining the same anaesthetic depth. This is the core economic and environmental argument for low-flow technique.
Agent comparison: what changes between agents
The choice of volatile agent affects cost, environmental footprint, and clinical profile. A few points of comparison relevant to this calculator:
Desflurane has the lowest blood-gas partition coefficient, meaning the end-tidal concentration equilibrates with the inspired concentration fastest. But it has a high vapour pressure and requires a heated, pressurised Tec 6 vaporiser. Its global warming potential is also significantly higher than the other agents — a growing factor in clinical decisions.
Sevoflurane is the most widely used agent globally. Its pleasant induction odour makes it the agent of choice for gaseous induction in children and anxious adults. The expansion ratio (183 mL vapour/mL liquid) and moderate cost make it efficient at low flows.
Isoflurane is cheaper than sevoflurane in most markets and has a slightly higher expansion ratio, but its pungent odour makes gaseous induction less well tolerated and it is now less commonly used for maintenance in many centres.
Halothane is rarely used in high-income countries (withdrawn in most) due to halothane hepatitis risk, but it remains the agent in some lower-resource settings. The calculator includes it for completeness.
Low-flow anaesthesia: why flow matters for cost and the environment
At flows below 1 L/min, most of the gas is recirculated through the breathing circuit after carbon dioxide is absorbed. The fraction of fresh gas (and therefore agent) actually used by the patient increases substantially. Low-flow technique can reduce agent consumption by 50–70% compared to high fresh-gas-flow techniques. Over a 4-hour case, the difference in liquid agent used is clinically significant in both cost and in total halogenated compound released to the atmosphere.
The limiting factor at very low flows is that uptake-driven changes in end-tidal concentration lag behind dial changes — the circuit takes longer to equilibrate. This is why low-flow anaesthesia requires careful end-tidal monitoring and slower adjustments to depth. Always titrate to the measured end-tidal value, not just the dial setting.