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density worksheet perhaps someone has tried to trick you with this ques…

Question

density worksheet
perhaps someone has tried to trick you with this question: \which is heavier, a pound of lead or a pound of
feathers?\ many people would instinctively answer \lead.\ when they give this incorrect answer, these people are
really thinking of density. if a piece of lead and a feather of the same volume are weighed, the lead would have a
greater mass than the feather. it would take a much larger volume of feathers to equal the mass of a given volume
of lead.
density is the relationship of the mass of an object to its volume. density is usually reported in units of grams per
cubic centimeter (g/cm³). for example, water has a density of 1.00 g/cm³. since a cubic centimeter contains the
same volume as a milliliter, in some cases you may see density expressed as g/ml³.
problems find the information being asked of you in each equation. refer to your notes if needed.

  1. a piece of tin has a mass of 16.52 g and a volume of 2.26 cm³. what is the density of tin?

m -
v -
d -

  1. a sealed 2500 cm³ flask is full to capacity with 0.36 g of a substance. determine the density of the substance.

m -
v -
d -

Explanation:

Step1: Recall the density formula

Density \(D=\frac{M}{V}\), where \(M\) is mass and \(V\) is volume.

Step2: Solve for problem 1

Given \(M = 16.52\space g\) and \(V=2.26\space cm^{3}\).
\(D=\frac{16.52}{2.26}\)
\(D = 7.31\space g/cm^{3}\)

Step3: Solve for problem 2

Given \(M = 0.36\space g\) and \(V = 2500\space cm^{3}\)
\(D=\frac{0.36}{2500}\)
\(D=1.44\times10^{-4}\space g/cm^{3}\)

Answer:

  1. \(M = 16.52\space g\), \(V = 2.26\space cm^{3}\), \(D = 7.31\space g/cm^{3}\)
  2. \(M = 0.36\space g\), \(V = 2500\space cm^{3}\), \(D=1.44\times 10^{-4}\space g/cm^{3}\)