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The hourly energy requirement of an astronaut can be satisfied by the energy released when 34 g of sucrose $(C_{12} H_{22} O_{11})$ are burnt in his body. How many g of oxygen would be needed to be carried in space capsule to meet his requirement for one day :

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916.2 gm

8.162 gm

91.62 gm

9.162 gm

answer is A.

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Detailed Solution

In the reaction we have,

$C_{12} H_{22} O_{11} + 12 O_{2} \to 12 {CO}_{2} + 11 H_{2} O$

$[\frac{34}{342} \times 12 \times 32] \times 24 = 916.2 g$ .

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