Question

1. analyze the graph to find the slope of the line for element 2. identify the units for the slope of the line on your graph. i need a hint slope of element 2 = a (units/units) choices: 65.4, g, 12, 63.6, 55.8, 119, mol, 28.1, 207, 27

Explanation:

To determine the slope of the line for Element 2, we need to recall that the slope in the context of a graph (likely a mass - moles graph, as the units are grams (g) and moles (mol)) is calculated as the change in mass (in grams) divided by the change in moles (in moles), or vice - versa depending on the axes. The formula for slope \(m=\frac{\Delta y}{\Delta x}\), where if \(y\) is mass (g) and \(x\) is moles (mol), the slope will have units of \(\frac{g}{mol}\).

Looking at the choices, the value that makes sense for the molar mass (which is related to the slope in a mass - moles graph, as molar mass \(M = \frac{m}{n}\), where \(m\) is mass and \(n\) is moles) of an element. The molar mass of some elements:

• For example, the molar mass of lead (Pb) is approximately 207 g/mol.
• Let's check the other values:
• 65.4 g/mol is the molar mass of zinc (Zn), but if we consider the context of "Element 2", 207 g/mol (molar mass of lead) is a more likely candidate for the slope (since slope \(=\frac{\text{mass}}{\text{moles}}\) which is molar mass).
• 12 g/mol is too low (carbon has a molar mass of 12 g/mol, but let's see the other options), 63.6 g/mol is the molar mass of copper, 55.8 g/mol is the molar mass of iron, 119 g/mol is the molar mass of tin (but 207 is more characteristic of lead), 28.1 g/mol is the molar mass of silicon, 27 g/mol is the molar mass of aluminum.

So, the slope (which is the molar mass here) of Element 2 is 207 \(\frac{g}{mol}\)

Answer:

Slope of Element 2 = 207 \(\frac{g}{mol}\)