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Question 10
10 (a) Buildings sometimes have water sprinklers to put out fires. The pipes in some water sprinklers are filled with nitrogen gas to prevent corrosion when the sys... show full transcript
Step 1
Answer
Corrosion is the process by which metals react with oxygen and/or moisture in the environment, leading to the gradual deterioration of the metal. This chemical reaction can result in the formation of rust or other corrosion products, compromising the structural integrity of the material.
Step 2
Answer
To find the maximum volume of nitrogen, we need to calculate the number of moles of sodium azide (NaN₃) first.
Calculate Moles of Sodium Azide:
Number of moles =
[ \text{Number of moles} = \frac{\text{mass}}{\text{molar mass}} = \frac{110 \text{ g}}{65 \text{ g/mol}} = 1.692 \text{ mol} ]\
Use Stoichiometry: The reaction shows that 2 moles of NaN₃ produce 3 moles of N₂. Therefore: [ \text{Moles of N₂} = \frac{3}{2} \times 1.692 = 2.538 \text{ mol} ]\
Calculate Volume of Nitrogen: Knowing that 1 mole of gas occupies 24 dm³, convert moles to volume: [ \text{Volume of N₂} = 2.538 \text{ mol} \times 24 \text{ dm}^3/\text{mol} = 60.912 \text{ dm}^3 = 60912 \text{ cm}^3 ]\
Final Volume: The maximum volume of nitrogen produced from 110 g of sodium azide is: 60912 cm³.
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