Question

The hourly energy requirement of an astronaut can be satisfied by the energy released when 34 g of sucrose (C12H22O11) 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 :

• A. 916.2 gm
• B. 91.62 gm
• C. 8.162 gm
• D. 9.162 gm.

Answer 1

Answer: (A)

916.2 gm

Answer 2

(1)

Use reaction C12H22O11 + 12O2 $\rightarrow$ 12CO2 + 11H2O.

In 24 hr. moles of sucrose consumed $= \frac{34}{342} \times 24.$

$\therefore$ In 24 hr. moles of O2 required

$= \frac{34}{342} \times 24 \times 12.$ (according to stoichiometry).

mass of O2 required $= \frac{34}{342}\text{×}\text{ 24 }\text{×}\text{ 12 }\text{×}\text{ 32 = 916.2 gm.}$