Actually the calculation of the weight of a "standard" cubic foot of natural gas is impossible.
Why? Because there is not a standard definition of the composition of natural gas and therefore it does not have a "standard" molecular weight, nor specific density.
Additionally it must be calculated at "standard" conditions, which are not always "standard".
You can calculate the weight of a cubic foot of a specific natgas, if you know its composition, or if you know its laboratory measured specific density and you can set the "standard" conditions of pressure and temperature.
Any calculation you do concerning natural gas should reference the standard conditions that you used. In the USA, it is usually 14.696 psia and 68°F. A ref temp of 0°C is often used in Europe and sometimes other countries or organizations use 15°C.
Sometimes one just assumes natgas is 100% CH4, methane, but that can at times be a poor approximation. Typical specific densities of Natgas vary between 0.6 and 0.7 referenced to air, again at "standard conditions".
Do you know the composition, molecular weight, or the specific density of your gas stream?
Do you know the temperature and pressure of your gas stream?
Do you know what standard reference conditions are being used?