Question

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)

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.