Before going through the steps, be sure you know exactly what you mean by the terms “cubic meter per day” (at what temperature and pressure?) and “standard” (there are literally hundreds of standards; what temperature and pressure do you regard as “standard”?). Then proceed with the following:
1. Multiply the MMcmd by the density of the gas at the related conditions. This gives you the mass of gas per day – in kg/day, lbs/day, etc.
2. Divide the gas mass rate by its molecular weight and you get the kg-mols or lb-mols per day.
3. You know that there are 22.414 liters/g-mol at 0 oC and 1.0 atmospheres, so you convert the above number to g-mols/day and divide by the molar volume and obtain the rate of gas in liters/day. Convert this into cubic meters per day at 0 oC and 1 atm. I assume that you mean this condition as “standard”.
There is another method:
Use the Equation of State for gas at two conditions:
P1V1 = Z1N1RT1
P2V2 = Z2 N2RT2
Condition 1 = Your first condition;
Condition 2 = Your so-called, “Standard” condition.
1. Convert the cubic meters/day to cubic feet per day at the condition 1;
2. Divide Equation 2 by Equation 1 and you get:
V2 = (Z2/Z1) (P1/P2) (T2/T1)
All temperatures and pressures should be in absolute units. If your condition 1 is close to atmospheric, the compressibilities (Z’s) can cancel out.
You can easily put the above steps into a spreadsheet format and use it repeatedly.