• The American Petroleum Institute has published a correlation for determining the hydrocarbon emissions from fixed-roof storage tanks
Ly = (24/1000) * (p/(14.7-p))^0.68 * D^1.73 * H^0.51 * T^0.5 * Fp * C
where: Ly is breathing emissions, gallons/yr; p is the true vapor pressure at the bulk temperature, psi; D is the tank diameter, ft; H is the height in ft; T is the average tank outage corrected for roof volume, ft; Fp is the dimensionless paint factor; and C is the dimensionless adjustment factor.
Is this equation dimensionally consistent? Is it possible, based on a unit analysis, that the equation is correct? If not, what units must be added to the term 24/1000 to make it dimensionally consistent?
Dimensional analysis and conversions
The Attempt at a Solution
I simply rewrote the equation but I am totally stuck on what to do with the (p/(14.7-p))^0.68 term... how do you have a unit to a power like 0.68?