Chemistry Conversion help???

Question

Convert 12.3nm^3/s to gal/ hour. Can someone please show me how to do this step by step and what does nm stand for? i can do other problems like this but i just can't figure this one out. Thanks to everyone who answers! :)

Answer 1

1 nm = 1x10^-9 m = 1x10^-7 cm

1 nm^3 = (1x10^-7)^3 = 1x10^-21 cm^3 = 1x10^-24 liters

1 gallon (U.S.) = 3.7853 liters

1x10^-24 liters / 3.7853 liters per gallon = 2.642x10^-25 gallons

2.642x10^-25 * 12.3 = 3.25x10^-24 gallon

3.25x10^-24 x 60 sec/min x 60 min/hr = 1.17x10^-20 gallons/hr

Answer 2

nm means Nanometres.

1 nanometer = 1.0 × 10^-9 meters

1 nm^3 = 2.64172052 × 10^-25 US gallons

1 nm^3 / sec = 9.51019388 × 10^-22 gal / hr

12.3 nm^3 / sec = 1.16975385 × 10^-20 gal / hour