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Q.

If a rocket runs on a fuel $(C_{15} H_{30})$ and liquid oxygen, the weight of oxygen required and ${CO}_{2}$ released for every litre of fuel respectively are: (Given: density of the fuel is $0.756 g / mL$ )

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a

2376 g and 2592 g

b

2592g and 2376 g

c

1188 g and 1296 g

d

3429 g and 3142 g

answer is C.

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Detailed Solution

$C_{15} H_{30} + \frac{45}{2} O_{2} \to 15 {CO}_{2} + 15 H_{2} O Mass of fuel = 0.756 \times 1000 g No. of moles of fuel = \frac{0.756 \times 1000}{210} Wt. of oxygen = \frac{0.756 \times 1000}{210} \times \frac{45}{2} \times 32 = 2592 g; Wt of {CO}_{2} = \frac{0.756 \times 1000}{210} \times 15 \times 44 = 2376 g$

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