JEE Main 2022 · 24 Jun · Shift 1 · Chemistry Q61

← JEE Main 2022 · 24 Jun · Shift 1

ChemistrySingle correct+4 / -1Question 61 of 90

If a rocket runs on a fuel ( $\mathrm{C_{15}H_{30}}$ ) and liquid oxygen, the weight of oxygen required and $\mathrm{CO_2}$ released for every litre of fuel respectively are :

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

1188 g and 1296 g

2376 g and 2592 g

2592 g and 2376 g

3429 g and 3142 g

Answer and worked solution

Official answer: C

Combustion. $\mathrm{C_{15}H_{30}+\frac{45}2O_2\rightarrow15CO_2+15H_2O}$ .

Moles of fuel. One litre weighs 756 g; $M=210$ g mol $^{-1}$ , so $n=3.6$ mol.

Oxygen. $3.6\times22.5\times32=2592$ g.

Carbon dioxide. $3.6\times15\times44=2376$ g.

(C)

Topics:Stoichiometry Alkanes

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JEE Main 2022 · 24 Jun · Shift 1, Chemistry question 61