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When calcium carbonate is heated, it breaks down into calcium oxide and carbon dioxide.
CaCO3 (s) → CaO (s) + CO2 (g)
Question:
If you heat 25 g CaCO3, approximately what volume of carbon dioxide will you make? Assume the conditions of temperature and pressure are such that 1 mole of any gas will occupy 22.4 L.
1.0 L
5.6 L
22.4 L
11.2 L

Respuesta :

5,6 l.

Explanation :
25g of CaCO3 is 25g/100g/mol = 0.25 mol.
If 1 mol of gase is 22,4l then
V of 0.25 mol = 0.25 * 22.4 = 5.6 l

The volume of carbon dioxide produced has been 5.6 L. Thus, option B is correct.

The moles have been defined as the mass of the substance with respect to the molar mass.

The moles have been expressed as:

[tex]\rm Moles=\dfrac{Mass}{Molar\;mass} [/tex]

The balanced chemical equation for the formation of carbon dioxide has been:

[tex]\rm CaCO_3\;\rightarrow\;CaO\;+\;CO_2[/tex]

Computation for volume of carbon dioxide

The available mass of calcium carbonate has been 25 g.

The molar mass of calcium carbonate has been 100 g/mol

Substituting the values for the moles of calcium carbonate:

[tex]\rm Moles=\dfrac{25}{100} \\ Moles=0.25\;mol[/tex]

The available moles of calcium carbonate has been 0.25 mol.

According to the balanced chemical equation, 1 mole of calcium carbonate produces 1 mole of carbon dioxide.

The moles of carbon dioxide produced has been:


[tex]\rm 1\;mol\;CaCO_3=1\;mol\;CO_2\\ 0.25\;mol\;CaCO_3=0.25\;mol\;CO_2[/tex]

The moles of carbon dioxide produced has been 0.25 mol.

From the ideal gas, the volume of 1 mol of gas has been 22.4 L.

The volume of 0.25 mol carbon dioxide has been:

[tex]\rm 1\;mol\;CO_2=22.4\;L\\ 0.25\;mol\;CO_2=0.25\;\times\;22.4\;L\\ 0.25\;mol\;CO_2=5.6\;L[/tex]

The volume of carbon dioxide produced has been 5.6 L. Thus, option B is correct.

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