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Question
question 69
the density of unknown metal c is 22.53 lb/gal. what is the density of unknown metal c in units of g/ml? (1 gal = 3.785 l and 1 lb = 453.592 g)
be sure to round your answer to the correct number of significant figures.
g/ml
Step1: Convert units of density
Given density \(d = 22.53\ \text{lb/gal}\). First, convert pounds (\(lb\)) to grams (\(g\)) and gallons (\(gal\)) to milliliters (\(mL\)).
We know that \(1\ lb=453.592\ g\) and \(1\ gal = 3.785\ L=3785\ mL\).
So, \(d=\frac{22.53\ lb}{1\ gal}\times\frac{453.592\ g}{1\ lb}\times\frac{1\ gal}{3785\ mL}\)
Step2: Calculate the value
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\(2.70\ g/mL\)