Question

question 13 (4 points) use the trendline slope to determine the density of your unknown blocks from part 1. then, identify the unknown material from the list of substances in the introduction to the lab. explain why your choice is that material?(4 points)

Explanation:

Step1: Recall density - slope relationship

Density ($
ho$) is related to the slope ($m$) of a mass - volume graph (where the trendline is plotted). If the graph has mass ($m_{mass}$) on the y - axis and volume ($V$) on the x - axis, the slope of the trendline $m=\frac{\Delta m_{mass}}{\Delta V}$. And density $
ho=\frac{m_{mass}}{V}$. So, the slope of the trendline is equal to the density of the material, i.e., $
ho = m$.

Step2: Determine density value

Read the value of the slope of the trendline from the graph obtained in part 1. Let's assume the slope value is $m = 2.7\ g/cm^{3}$ (this is an example value, actual value depends on the graph).

Step3: Identify material

Compare the calculated density value with the list of densities of substances in the lab introduction. Suppose the list has aluminum with a density of approximately $2.7\ g/cm^{3}$. So the unknown material is aluminum.

Step4: Provide reasoning

The density of a material is a characteristic property. Since the calculated density from the trend - line slope matches the density of aluminum in the provided list of substances, the unknown material is most likely aluminum.

Answer:

The density of the unknown block is equal to the slope of the trendline. After calculating the slope and comparing it with the list of substances in the lab introduction, the unknown material is (for example) aluminum because the calculated density matches the density of aluminum in the list.