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(a) The mixture of chemicals contains sodium azide (NaN_(3)) which decomposes on heating to form sodium and nitrogen. 2NaN_(2)arrow 2Na+3N_(2) A typical air bag contains 130 g of sodium azide. (i) Calculate the mass of nitrogen that would be produced when 130 g of sodium azide decomposes. Relative atomic masses (A_(i)):N=14;Na=23 __ Mass of nitrogen=

Question

(a)
The mixture of chemicals contains sodium azide (NaN_(3)) which decomposes on
heating to form sodium and nitrogen.
2NaN_(2)arrow 2Na+3N_(2)
A typical air bag contains 130 g of sodium azide.
(i) Calculate the mass of nitrogen that would be produced when 130 g of sodium
azide decomposes.
Relative atomic masses (A_(i)):N=14;Na=23
__
Mass of nitrogen=

(a) The mixture of chemicals contains sodium azide (NaN_(3)) which decomposes on heating to form sodium and nitrogen. 2NaN_(2)arrow 2Na+3N_(2) A typical air bag contains 130 g of sodium azide. (i) Calculate the mass of nitrogen that would be produced when 130 g of sodium azide decomposes. Relative atomic masses (A_(i)):N=14;Na=23 __ Mass of nitrogen=

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DerekVeteran · Tutor for 10 years

Answer

<p> The mass of nitrogen produced from the decomposition of 130g of sodium azide is approximately 50.88g.</p>

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<p> 1. We must understand the chemical reaction rst: \(2NaN_{3} \rightarrow 2Na+3N_{2}\). From the reaction equation, we can conclude that 2 mol of sodium azide (NaN3) produces 3 mol of nitrogen (N2).<br />2. This problem requires us to calculate the mass of nitrogen produced when 130g of sodium azide decomposes. <br />3. Next, we need to calculate the molar mass of sodium azide: the atomic mass of sodium is 23g/mol, and the atomic mass of nitrogen is 14g/mol; Azide comprises one atom of sodium and three atoms of Nitrogen, thus the molar mass is calculation to be: 23 + (14 x 2 x 3) = 23 + 84 = 107 g/mol.<br />4. Calculate the number of moles of sodium azide using the formula n = m/M (where n is the number of moles, m is the mass and M is the molar mass), we calculate \(n = 130g / 107g/mol = 1.21495\).<br />5. Molar qualitative relationship derived from the reaction equation: 2 mol sodium azide produces 3 mol nitrogen, so 1 mol sodium azide can produce 1.5 mol nitrogen.<br />6. Using this ratio, we then determine the amount of nitrogen produced by 1.21 mol of sodium azide: 1.21 x 1.5 = 1.817425 moles of nitrogen.<br />7. Nitrogen molecules are twin-atomic, which means every mole of nitrogen produces two moles of nitrogen atoms. Since the atomic weight of nitrogen is 14 g/mol, As a result, 1 mol of nitrogen molecules consists of \(2 x 14 g = 28 g\) of nitrogen.<br />8. Hence, to convert the moles of nitrogen molecules into mass, the equation is: Mass of nitrogen = number of moles * molar mass. From our calculation, Mass of nitrogen = \(1.817425 mol \times 28 g/mol\)</p>
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