Question

Derive the following conversion factors:

(a) Convert a volume flow rate in cubic inches per minute to cubic millimeters per minute.

(b) Convert a volume flow rate in cubic meters per second to gallons per minute (gpm).

(c) Convert a volume flow rate in liters per minute to gpm.

(d) Convert a volume flow rate of air in standard cubic feet per minute (SCFM) to cubic meters per hour.

A standard cubic foot of gas occupies one cubic foot at standard temperature and pressure (T = 15∘ C and p= 101:3 kPa absolute).

Answer 1

A. 0.0283 mm3/min

B. 15850.2 gal/min

C. 0.2642 gal/min

D. 1.7 m3/hour

Step-by-step explanation:

A.

[(1 in)3/min *(25.4mm)3/(1 in)]

= 0.02832 mm3/min

B.

[(1m)3/sec*(264.173gal)/(1m)3]*(60secs)/1min

= 15850.2 gal/min

C.

[(Liter/min)*(0.264172gal/liter)]

=0.2642 gal/min

D.

[(1ft)3/min*(0.3048m)3/(1ft)3*(60mins/1hour)]

=1.7 m3/hour

Below is an attachment that should help.