Question

A bottle with a volume of 199 U. S. fluid gallons is filled at the rate of 1.6 g/min. (Water has a density of 1000 kg/m3, and 1 U.S. fluid gallon = 231 in.3.) How long does the filling take?

Answer 1

Answer:

326.9 days

Step-by-step explanation:

We are given that

Volume=199 U.S fluid gallon

Density,$\rho=1000kg/m^3$

We have to find the time taken to filling the bottle.

1 U.S fluid gallon=3.785 L

199 U.S fluid gallon=$199\times 3.785=753.215 L$

1000 L=1 cubic meter

$753.215 L=0.753215 m^3$

Mass=$\rho\times V=1000\times 0.753215=753.215 Kg=753.215\times 10^3 g$

1 kg=1000g

Rate=1.6 g/min

Time=$\frac{Mass}{rate}=\frac{753.215\times 1000}{1.6}=470759.375 min$

Time=$\frac{470759.375}{60\times 24}=326.9 days$

1 hour=60 min

1 day=24 hours