# Converting flow rate from normal/standard liters per minute to cubic meters per second

I'm really confused about these three units commonly used for measuring airflow:

• cubic meters per second (m3/s)
• normal liters per minute (NLPM)
• standard liters per minute (SLPM)

I would appreciate if you could help me know how to convert them to each other. For example, is

$$1 \, m^3/s = 1 \, NLPM / \left( 1000 . 60 \right)$$

correct?

$$1 \frac{m^3}{s} = 1000 [NLPM] \frac{T_{gas}}{293.15}\cdot\frac{14.696 [psi]}{P_{gas}} = 1000 [SLPM] \frac{T{gas}}{273.15}\cdot\frac{14.504 [psi]}{P_{gas} [psi]}$$
• $$T_{gas}$$: is the temperature that the gas is flowing
• $$P_{gas}$$: is the pressure that the gas is flowing