Question

1. write a function to describe the number of oxygen atoms in terms of carbon atoms in the compound carbon dioxide.
2. graph the function on the grid below.
3. if you have six molecules of co₂, how many oxygen atoms do you have?
4. zinc carbonate (znco₃) is composed of one zinc, one carbon, and three oxygen atoms. what is the total atomic mass of zinc carbonate?

Explanation:

Step1: Determine the ratio in carbon - dioxide

In carbon - dioxide ($CO_2$), for every 1 carbon atom, there are 2 oxygen atoms. Let $x$ be the number of carbon atoms and $y$ be the number of oxygen atoms. The function is $y = 2x$.

Step2: Graph the function

The function $y = 2x$ is a linear function. The slope $m = 2$ and the $y$ - intercept $b = 0$. We can find points by choosing values of $x$. When $x = 0$, $y=2\times0 = 0$; when $x = 1$, $y = 2\times1=2$; when $x = 2$, $y=2\times2 = 4$. Plot the points $(0,0)$, $(1,2)$, $(2,4)$ etc. and draw a straight line through them.

Step3: Calculate oxygen atoms for 6 molecules of $CO_2$

Since each molecule of $CO_2$ has 2 oxygen atoms, for 6 molecules of $CO_2$, the number of oxygen atoms is $2\times6=12$.

Step4: Calculate the total atomic mass of zinc carbonate

The atomic masses of zinc ($Zn$), carbon ($C$), and oxygen ($O$) are approximately $65.38$ g/mol, $12.01$ g/mol, and $16.00$ g/mol respectively.
For $ZnCO_3$, the total atomic mass $M=65.38 + 12.01+3\times16.00$.
$M=65.38 + 12.01 + 48.00=125.39$ g/mol.

Answer:

1. $y = 2x$
2. Graph the points $(0,0)$, $(1,2)$, $(2,4)$ etc. and draw a straight - line.
3. 12
4. 125.39 g/mol