Enrichment Corner 3:
1. When steam is passed over a hot iron metal, hydrogen gas and iron(III) oxide are formed.
What is the mass of steam required to react completely with 100 g of iron?
[Relative atomic mass: H = 1, O = 16, Fe = 56]
2. Lithium hydroxide, LiOH is used to remove carbon dioxide from the exhaled air in the cabin of a spaceship. [Relative atomic mass: H = 1, Li = 7, C = 12, O = 16]
2LiOH + CO2 → Li2CO3 + H2O
An outer space mission is carried out for a period of 18 days involving five people on board. If each person is expected to exhale on the average of 42 g of carbon dioxide per hour and each absorption tube can contain 750 g of LiOH, calculate the number of absorption tubes that should be loaded into the spaceship.
Answer:
1. $$ 3 \mathrm{H}_2 \mathrm{O}(\mathrm{~g})+2 \mathrm{Fe}(\mathrm{~s}) \rightarrow \mathrm{Fe}_2 \mathrm{O}_3(\mathrm{~s})+3 \mathrm{H}_2(\mathrm{~g}) $$
$$ \begin{aligned} \text { Mass of steam } & =\frac{100}{56} \times \frac{3}{2} \times 18 \\ & =48.2 \mathrm{~g} \end{aligned} $$
2. $$ \text { Total } \mathrm{CO}_2=42 \times 24 \text { hours } \times 18 \text { days } \times 5 \text { people }=90720 \mathrm{~g} $$
$$ \begin{aligned} \text { Mass of LiOH required } & =\frac{90720}{44} \times 2 \times 24 \\ & =98967.27 \mathrm{~g} \end{aligned} $$
$$ \begin{aligned} \text { Number of absorption tubes } & =\frac{98967.27}{750} \\ & =131.96 \\ & \approx 132 \text { of tubes } \end{aligned} $$
1. When steam is passed over a hot iron metal, hydrogen gas and iron(III) oxide are formed.
What is the mass of steam required to react completely with 100 g of iron?
[Relative atomic mass: H = 1, O = 16, Fe = 56]
2. Lithium hydroxide, LiOH is used to remove carbon dioxide from the exhaled air in the cabin of a spaceship. [Relative atomic mass: H = 1, Li = 7, C = 12, O = 16]
2LiOH + CO2 → Li2CO3 + H2O
An outer space mission is carried out for a period of 18 days involving five people on board. If each person is expected to exhale on the average of 42 g of carbon dioxide per hour and each absorption tube can contain 750 g of LiOH, calculate the number of absorption tubes that should be loaded into the spaceship.
Answer:
1. $$ 3 \mathrm{H}_2 \mathrm{O}(\mathrm{~g})+2 \mathrm{Fe}(\mathrm{~s}) \rightarrow \mathrm{Fe}_2 \mathrm{O}_3(\mathrm{~s})+3 \mathrm{H}_2(\mathrm{~g}) $$
$$ \begin{aligned} \text { Mass of steam } & =\frac{100}{56} \times \frac{3}{2} \times 18 \\ & =48.2 \mathrm{~g} \end{aligned} $$
2. $$ \text { Total } \mathrm{CO}_2=42 \times 24 \text { hours } \times 18 \text { days } \times 5 \text { people }=90720 \mathrm{~g} $$
$$ \begin{aligned} \text { Mass of LiOH required } & =\frac{90720}{44} \times 2 \times 24 \\ & =98967.27 \mathrm{~g} \end{aligned} $$
$$ \begin{aligned} \text { Number of absorption tubes } & =\frac{98967.27}{750} \\ & =131.96 \\ & \approx 132 \text { of tubes } \end{aligned} $$