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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 =

Using the following data table and graph calculate the average k from the data Amount CO2 mL Amount of White Solid g y x 10 015 20 030 30 046 40 062 50 077 k class=

Respuesta :

znk

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.

Answer:

66.67 mL CO₂/g CaCO₃

Explanation:

By the given graph,

The average rate of change,

[tex]k=\frac{\text{Change in amount of CO2 in ml}}{\text{Change in white solid in grams}}[/tex]

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

[tex]\implies k=\frac{20-10}{0.30-0.15}[/tex]

[tex]=\frac{10}{0.15}[/tex]

= 66.67 mL CO₂/g CaCO₃

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