Answer:
0.732 years
Explanation:
We are given that
Volume of fluid filled in bottle=193 U.S
1 U.S fluid gallon=231 cubic inch
193 U.S gallon=[tex]231\times 193=44583in^3[/tex]
[tex]1 in^3=1.63871\times 10^{-5}m^3[/tex]
[tex]44583in^3=44583\times 1.63871\times 10^{-5}=0.731m^3[/tex]
Density of water=[tex]1000kg/m^3[/tex]
Mass=[tex]Volume\times density[/tex]
Using the formula
Mass=[tex]0.731\times 1000=731kg[/tex]
1kg =1000g
[tex]731kg=731\times 1000=731\times 10^3g[/tex]
By using [tex]1000=10^3[/tex]
1.9 g of fluid takes time to fill in the bottle=1 min
1 g of fluid takes time to fill in the bottle=[tex]\frac{1}{1.9}min[/tex]
[tex]731\times 10^3[/tex]g of fluid takes time to fill in the bottle=[tex]\frac{1}{1.9}\times 731\times 10^3[/tex]min
Time=[tex]384.7\times 10^3[/tex]min
[tex]1min=\frac{1}{60\times 24\times 365}[/tex]years
Time=[tex]384.7\times 10^3\times \frac{1}{60\times 24\times 365}years[/tex]
Time =0.732 years
Hence, it takes to filling the 193 U.S fluid gallons in bottle=0.732 years
