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Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425

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BuyFindarrow_forward

Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425
Textbook Problem
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An air bag is deployed by utilizing the following re

tion the nitrogen gas produced inflates the air bag):

:math> 2 NaN 3 ( s ) 2 Na ( s ) + 3 N 2 ( g )

10.5 g of NaN1 is decomposed, what theoretical mass of sodium should be produced? If only 2.84 g of sodium is actually collected, what is the percent yield?

Interpretation Introduction

Interpretation:

The theoretical mass and percent yield should be calculated.

Concept Introduction:

The expected or theoretical yield of the product depends on the limiting reactant of the reaction. Limiting reactant is the reactant that limits the mass of product formed in the reaction.

Percent yield can be calculated as follows:

% yield=Actual yieldTheoretical yield×100.

Explanation

The balanced chemical reaction is as follows:

2NaN3(s)2Na(s)+3N2(g)

From the balanced chemical reaction, 2 mol of NaN3 gives 2 mol of Na or 1 mol of NaN3 gives 1 mol of Na. Calculate the number of moles of NaN3 as follows:

n=mM

Molar mass of NaN3 is 65.0099 g/mol thus,

n=10.5 g65.0099 g/mol=0.1615 mol

Number of moles of NaN3 is 0

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