Question

name:
lab 3: thickness of a thin layer/density of a gas
unit 1 lab practical
in the \thickness of aluminum foil lab\ in another class, teams a and b used the same brand of thin
aluminum foil but team a used 2.00g and team b used 3.00g of foil.

1. all teams used the same accepted value for the density of aluminum to find their volumes. select one

of the following claims that uses proportional reasoning to correctly justify if these two samples (team
a and team b) have the same density. 1
a. the samples do not have the same density. team b has more mass but the same volume
compared to team a, therefore the density will be higher for team b than a.
b. the samples do not have the same density. team b has more mass but only a slightly higher
volume compared to team a, therefore the density will be higher for team b than a.
c. the samples have the same density. team b has more mass and more volume than team a,
therefore the density of both teams will be equal.
d. the samples do not have the same density. team b has the same mass and the same volume
compared to team a, therefore the density of both teams will be equal.

Explanation:

Step1: Recall density formula

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

Step2: Analyze option c

If two samples are of the same material (aluminum foil here), density is a characteristic property of the material. Team B has more mass \(m_B = 3.00g\) and more volume \(V_B\) compared to Team A (\(m_A=2.00g\)), but \(
ho=\frac{m}{V}\). For aluminum (same material), the ratio \(\frac{m}{V}\) (density) remains constant.

Answer:

C. The samples have the same density. Team B has more mass and more volume than Team A, therefore the density of both Teams will be equal.