Chapter 17, Problem 95A

Interpretation Introduction

Interpretation:

The mass of carbon burned needs to be determined.

Concept introduction:

Law of conservation of mass states that the amount of reactants consumed is equal to the amount of products obtained.

Answer to Problem 95A

2.44 g of carbon is used.

Explanation of Solution

At STP, any 1 mol gas occupies 22.4L of volume, so:

$\begin{array}{l}22.4L\to 1mol\\ 4.56L\to \frac{1*4.56}{22.4}\\ 4.56L\to 0.204mol\end{array}$

Mass of 0.204 mol of CO₂ produced = Mass of 0.204mol(equal coeffiecients) of carbon.

$\begin{array}{l}=0.204\times 12\\ =2.44g\end{array}$

Conclusion

2.44 g of carbon is burned to produce 4.56L of CO₂ at STP.