Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

7. analyze the graph statistics to find the slope of the line for eleme…

Question

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

Explanation:

Response

To determine the slope for Element 1, we need to recall that the slope in a graph related to elements (likely a mass - moles graph) is given by the formula $\text{slope}=\frac{\text{mass (in g)}}{\text{moles (in mol)}}$, which is the molar mass of the element.

Step 1: Recall the concept of molar mass

The molar mass of an element is the mass of one mole of that element, and it has units of $\frac{\text{g}}{\text{mol}}$. So we are looking for a value that represents the molar mass of an element (since slope here is molar mass) and the units $\frac{\text{g}}{\text{mol}}$.

Step 2: Analyze the choices

Among the numerical values, 55.8 is the molar mass of iron (Fe) (in $\frac{\text{g}}{\text{mol}}$). The other numerical values do not correspond to the molar mass of a common element in the context of a typical graph - based slope calculation for elements (relating mass and moles). And the units for slope here should be $\frac{\text{g}}{\text{mol}}$ (since slope $=\frac{\text{mass (g)}}{\text{moles (mol)}}$).

Answer:

Slope of Element 1 $=\boldsymbol{55.8}\frac{\boldsymbol{\text{g}}}{\boldsymbol{\text{mol}}}$