Question

Using the following data table and graph, calculate the average k from the data.

Amount CO2 (mL) Amount of White Solid (g)
y x
10 0.15
20 0.30
30 0.46
40 0.62
50 0.77

k =

Answer 1

66.67 mL CO₂/g CaCO₃

Step-by-step explanation:

By the given graph,

The average rate of change,

`k=\frac{\text{Change in amount of CO2 in ml}}{\text{Change in white solid in grams}}`

Also, in the given table x represents the amount CO2 (mL) y represents the amount of White Solid (g)

`\implies k=(20-10)/(0.30-0.15)`

`=(10)/(0.15)`

= 66.67 mL CO₂/g CaCO₃

Answer 2

k = 63 mL/g

The equation for the straight line has the form

V = km +b

The formula for the slope k is

k = ΔV/Δm = (V₂ -V₁)/(m₂ - m₁)

So, we pick any two points on the line, preferably as far apart as possible.

I will choose the points (0.77, 50) and (0.10, 8). Then

k = (50 mL – 8 mL)/(0.77 g – 0.10 g) = 42 mL/0.67 g = 63 mL/g

In other words, you get 63 mLCO₂ for every 1 g CaCO₃.