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Question 6
Group 2 metal carbonates thermally decompose to produce a metal oxide and a gas. 1. Give the formula of each product when calcium carbonate (CaCO₃) is heated. _... show full transcript
Step 1
Step 2
Answer
To find the relative atomic mass (Aₐ) of the Group 2 metal, we use the formula:
Mₐ = Aᵣ(C) + Aᵣ(O) + Aᵣ(Metal)
Substituting the values we know:
197 = 12 + (3 imes 16) + Aᵣ(Metal)
Calculating the oxygen contribution:
197 = 12 + 48 + Aᵣ(Metal)
Therefore,
Aᵣ(Metal) = 197 - 60 = 137
The relative atomic mass (Aₐ) of the Group 2 metal is therefore 137.
Step 3
Step 4
Answer
To calculate the gradient of the line, we can use two points from the graph. Assuming we select the points (0.5, 100) and (2.0, 300):
Gradient = (Y₂ - Y₁) / (X₂ - X₁)
Using the values:
Gradient = (300 - 100) / (2.0 - 0.5) = 200 / 1.5 = 133.33
Step 5
Answer
From the graph, we note that 24 dm³ of gas corresponds to a mass of approximately 240 g. The relative formula mass of the Group 2 carbonate W can be calculated as follows:
Using the ratio of volume of gas to mass:
Ratio = (Volume of gas produced) / (mass of Group 2 carbonate)
Thus,
egin{align*} 24 dm³ ext{ at 240 g} = \frac{240}{24} = 10. \end{align*}
Then using this ratio times the volume to maintain consistency with our gas calculation, we assume the relative formula mass is:
Mₐ = 100 g/mol (for scaling purposes) implies:
Mass = 240 g corresponds to relative formula mass Mₐ that allows for a specific confirmation with calculated ratios applied.
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