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Chemistry

The equation for the burning of octane is :

2C8H18 + 25O2 ⟶ 16CO2 + 18H2O

(i) How many moles of carbon dioxide are produced when one mole of octane burns ?

(ii) What volume, at s.t.p., is occupied by the number of moles determined in (i) ?

(iii) If the relative molecular mass of carbon dioxide is 44, what is the mass of carbon dioxide produced by burning two moles of octane ?

Stoichiometry

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Answer

(i) 2 moles of octane produce 16 moles of carbon dioxide

∴ 1 mole of octane will produce 162\dfrac{16}{2} = 8 moles of carbon dioxide.

(ii) 1 moles occupies 22.4 lit. of vol.

∴ 8 mole will occupy 22.41\dfrac{22.4}{1} x 8 = 179.2 lit. of vol.

(iii) To calculate the mass of CO2 produced :

C8H18:CO2 2 moles:16 moles\begin{matrix} \text{C}8 \text{H}_{18} & : & \text{CO}2 & \ \text{ 2 moles} & : & 16 \text{ moles} \ \end{matrix}

Mass of 1 mole of CO2 = 44 g

∴ Mass of 16 moles of CO2 = 44 x 16 = 704 g

Hence, 8 moles of carbon dioxide are produced, vol occupied is 179.2 lit. and mass of carbon dioxide produced is 704 g

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