Calculate the volume of carbon dioxide that is generated by the complete combustion of a 5.4 g

Calculate the volume of carbon dioxide that is generated by the complete combustion of a 5.4 g butadiene rubber product.

Given:
m (C4H6) = 5.4 g

To find:
V (CO2) -?

Decision:
1) Write the reaction equation:
2C4H6 + 11O2 => 8CO2 + 6H2O;
2) Calculate the molar mass of C4H6:
M (C4H6) = Mr (C4H6) = Ar (C) * N (C) + Ar (H) * N (H) = 12 * 4 + 1 * 6 = 54 g / mol;
3) Calculate the amount of substance C4H6:
n (C4H6) = m (C4H6) / M (C4H6) = 5.4 / 54 = 0.1 mol;
4) Determine the amount of substance CO2:
n (CO2) = n (C4H6) * 8/2 = 0.1 * 8/2 = 0.4 mol;
5) Calculate the volume of CO2:
V (CO2) = n (CO2) * Vm = 0.4 * 22.4 = 8.96 liters.

Answer: The CO2 volume is 8.96 liters.