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2. find the mass of a sample of mercury (d = 13.5 g/ml) if the volume i…

Question

  1. find the mass of a sample of mercury (d = 13.5 g/ml) if the volume is 2.63 gallons.

Explanation:

Step1: Convert gallons to milliliters

1 gallon = 3785.41 ml, so 2.63 gallons = 2.63×3785.41 ml.
$2.63\times3785.41 = 9955.6283$ ml

Step2: Use the density - mass - volume formula

The density formula is $D=\frac{m}{V}$, where $D$ is density, $m$ is mass and $V$ is volume. Rearranging for mass gives $m = D\times V$.
Given $D = 13.5$ g/ml and $V=9955.6283$ ml, then $m=13.5\times9955.6283$ g.
$m = 13.5\times9955.6283=134300.98205$ g $\approx134301$ g

Answer:

134301 g