2014-08-01

Calculation of mass flow rate to volumetric flow

Calculation of mass flow rate to volumetric flow
Most of the Vacuum pumps are rated for Volumetric displacement while the processes specify in mass flow rates / Throughputs. The following expression gives a relationship between the two for precise selection of booster.

Based on the fundamental gas laws PV= RT, an expression can be derived for Volumetric Flow Rates required for pumping different vapors/gases. Based on the Mass flow rates one can estimate the pump capacity required.

V = R. Tgas / P Q1/M1 + Q2/M2 …………. Qn/Mn


Where
V = Inlet Volume flow rate m3/hr.
R = Universal gas Constant, 83.14 mbar m3/ Kgmol x ºK
Tgas = Gas/Vapor abs. Temp, in ºK
P = Process Absolute Pressure in mbar
Q1, Q2, Q3 = Gas / Vapor flow rate, in Kg/hr.

M1, M2, M3 = Molar mass, in Kg/mol. of gas /vapor.