A bottle with a volume of 196 U. S. fluid gallons is filled at the rate of 1.08 g/min. In years, how long does the filling take? (The density of water is 1 g/cm3 and 1 U.S. fluid gallon = 231 in3.)

Question

A bottle with a volume of 196 U. S. fluid gallons is filled at the rate of 1.08 g/min. In years, how long does the filling take?  (The density of water is 1 g/cm3 and 1 U.S. fluid gallon = 231 in3.)

196(231)/(1.08)

The answer given was 1.31 years, not sure of the steps.

Steve · Accepted Answer

you assumed g/min was gallon/minute
Not so. It is grams/minute

So, keeping track of the units, you want to convert volume to time:

196gal * 231 in^3/gal * (2.54cm/in)^3 * 1g/cm^3 * 1min/g = 741940 min = 1.41 yr

Hmmm. check my math or your supposed answer