The density of copper is 8.92 g/cm cubed. if you plotted the mass of copper in grams verses the volume in cubic cm what would the slop of the line be?.
8.92
To find the slope of a line on a graph, we need to calculate the change in the y-values (vertical) divided by the change in the x-values (horizontal). In this case, we want to find the slope of the line when plotting the mass of copper in grams against the volume in cubic cm.
The slope is given by the formula:
slope = change in y-values / change in x-values
In this case, the y-values represent the mass of copper in grams, and the x-values represent the volume in cubic cm.
Since the density of copper is given as 8.92 g/cm^3, we can relate mass to volume using the formula:
density = mass / volume
Rearranging this formula, we get:
mass = density * volume
Now, we have an equation to calculate the mass of copper based on the volume. By substituting this equation into the slope formula, we can determine the slope.
Let's assume we have two points on the line: (x1, y1) and (x2, y2), representing the volume and mass of copper, respectively. Then we can write:
slope = (y2 - y1) / (x2 - x1)
Using the equation mass = density * volume, we can substitute y1, y2, x1, and x2 with the corresponding values to calculate the slope.
For example, let's consider two points on the line: (volume1, mass1) and (volume2, mass2). The equation becomes:
slope = (density * volume2 - density * volume1) / (volume2 - volume1)
Substituting the given density value (density = 8.92 g/cm^3), we can calculate the slope by plugging in the specific values for volume1, volume2, mass1, and mass2.