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9. The density of water is 1.0 g/mL. What is the density of water in pounds/gallon?

Md Ariful Islam

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Md Ariful Islam

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Use "Dimensional Analysis" to determine what "conversion factors" you will need before you do the math.

$g/"mL" xx "??"/"??" = "lbs"/"gal"$

We need a mass conversion unit ($g to "lbs"$) and a volume conversion unit ($"mL" to "gal"$).

$1 "lb" = 454g$ or, for our equation, $(1"lb")/(454g)$

Volume will take two steps - $mL to L and then L to gal$

$1 L = 1000mL$ and $1gal = 3.785L$ Combining them we get:

$1gal = 3.785L xx (1000mL)/L = 3785mL$
$(3785mL)/(1gal)$

NOW we can apply these to our specific example.

$(1.0 g)/(mL) xx (1"lb")/(454g) xx (3785mL)/(1gal) = (8.34"lbs")/"gal"$

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