Question

If a rocket runs on fuel (C₁₅ H₃₀) and liquid oxygen, the weight of oxygen required and CO₂ released for every Iitre of fuel respectively are ______.

(Given: density of the fuel is 0.756 g/mL)

Options

• 1188 g and 1296 g

• 2376 g and 2592 g

• 2592 g and 2376 g

• 3429 g and 3142 g

Answer 1

If a rocket runs on fuel (C₁₅ H₃₀) and liquid oxygen, the weight of oxygen required and CO₂ released for every Iitre of fuel respectively are 2592 g and 2376 g.

Explanation:

\[\ce{C_{{x}}H_{{y}} + ({x} + y/4)O2 -> {xCO}2 + y/2H2O}\]

\[\ce{C15 H30 + 45/2O2 -> 15CO2 + 15H2O}\]

Mass of fuel = 0.756 × 1000 g

No. of moles of fuel = `(0.756 xx 1000)/210`

Weight of oxygen = `(0.756 xx 1000)/210 xx 45/2 xx 32` = 2592 g

Weight of CO₂ = `(0.756 xx 1000)/210 xx 15 xx 44` = 2376 g