Note: edited for correctness
Assuming that you meant ppmw (parts per million by weight), and not ppmv (parts per million by volume); and also that you meant short tons (2000 lbs) and not metric tonnes (1000 kg):
x /(500 tons * 2000 lbs/ton + x) = 6/1,000,000
Where x is the amount of odorant in pounds.
Solving for x yields:
x= 6.000036 lbs for a 6 ppmw (parts per million weight) concentration
This shows we can neglect the amount of odorant added since it is insignificant (0.00036 lbs) in the total, and the equation reduces to:
x/(500*2000) = 6x10-6
yielding: x=6 lbs for 6ppmw
likewise:
x=12.001 lbs of odorant for 12ppmw
or
x=12 lbs for the simple calculation.
Important conversion: ppm/1x106= fraction in total
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