The density of copper is 8.92 g/cm to the third power. If you plotted the mass of copper in grams versus the volume in cubic centimeters, what would the slope of the line be
mass=Density*volume
Looks like a linear relationship to me.
To determine the slope of the line in a plot of mass versus volume, we need to use the formula for density which is given by:
Density = Mass / Volume
The density of copper is given as 8.92 g/cm^3. To find the slope of the line, we need to rearrange the formula to solve for mass:
Mass = Density * Volume
Now, for a given volume, we can calculate the mass using the density value. Since we have the density of copper, we can directly use this relationship to find the mass of copper for different volumes.
Let's say we choose two points on the graph, (V1, M1) and (V2, M2), where V represents the volume in cm^3 and M represents the mass in grams. The slope of the line connecting these two points will be:
slope = (M2 - M1) / (V2 - V1)
By substituting the mass values using the formula Mass = Density * Volume, we can further simplify the equation to:
slope = (Density*V2 - Density*V1) / (V2 - V1)
Since the density of copper is given as 8.92 g/cm^3, the slope of the line in a plot of mass versus volume would be 8.92.