Coal power plants burn large amounts of coal, c (s), in an o 2 (g) atmosphere to generate electricity. the chemical reaction responsible for producing this energy is shown below: c (s) + o 2 (g) → co 2 (g) determine the volume of co 2 in liters produced when 100 metric ton of c (s) is completely burned in an o 2 atmosphere. the density of co 2 is 1.98 kg/m 3 (1 metric ton = 1000 kg; 1 m 3 = 1000 l)

Question

Chemistry

Lawrence

12 June, 11:52

Coal power plants burn large amounts of coal, c (s), in an o 2 (g) atmosphere to generate electricity. the chemical reaction responsible for producing this energy is shown below: c (s) + o 2 (g) → co 2 (g) determine the volume of co 2 in liters produced when 100 metric ton of c (s) is completely burned in an o 2 atmosphere. the density of co 2 is 1.98 kg/m 3 (1 metric ton = 1000 kg; 1 m 3 = 1000 l)

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Jaiden Schaefer · Answer 1

Answer is: volume of carbon dioxide is 1,84·10⁸ l.

Chemical reaction: C + O₂ → CO₂.

m (C) = 100 t · 1000 kg/t = 100000 kg

m (C) = 100000 kg · 1000 g/kg = 10⁸ g.

n (C) = m (C) : M (C).

n (C) = 10⁸ g : 12 g/mol.

n (C) = 8,33·10⁶ mol.

From chemical reaction: n (C). n (CO₂) = 1 : 1.

n (CO₂) = 8,33·10⁶ mol.

m (CO₂) = 8,33·10⁶ mol · 44 g/mol.

m (CO₂) = 3,66·10⁸ = 3,66·10⁵ kg.

V (CO₂) = 3,66·10⁵ kg : 1,98 kg/m³ = 1,84·10⁵ m³.

V (CO₂) = 1,84·10⁵ m³ · 1000 l/m³ = 1,84·10⁸ l.