For this case we must take into account the following conversions:
1 pound = 450 grams
1 mL = 0.00026 gallons
We apply the transformation of units to the following expression:
[tex] 1.09\frac{g}{mL} [/tex]
We have then:
[tex] (1.09\frac{g}{mL})(\frac{1}{450}\frac{lbs}{g}) = 0.0024\frac{lbs}{mL} [/tex]
[tex] (0.0024\frac{lbs}{mL})(\frac{1}{0.00026}\frac{mL}{gal}) = 9.23\frac{lbs}{gal} [/tex]
Answer:
Applying both transformations to the given expression we have:
[tex] 9.23\frac{lbs}{gal} [/tex]
Answer : 1.09 g/ml is equal to the 10.9 lbs/gal
Step-by-step explanation :
Conversion factors
1 gram = 0.0022 lbs
1 ml = 0.00022 gallon
First we have to convert 'gram' into'lbs'.
[tex]\frac{1.09g}{1ml}=\frac{1.09g}{1ml}\times \frac{0.0022\text{ lbs}}{1g}=\frac{1.09\times 0.0022\text{ lbs}}{1ml}=\frac{0.002398\text{ lbs}}{1ml}[/tex]
Now we have to convert 'ml' into 'gallon'.
[tex]\frac{0.002398\text{ lbs}}{1ml}=\frac{0.002398\text{ lbs}}{1ml}\times \frac{1ml}{0.00022\text{ gallon}}=\frac{10.9\text{ lbs}}{1\text{gallon}}=10.9\text{ lbs}/gallon[/tex]
Thus, 1.09 g/ml is equal to the 10.9 lbs/gal
