Chapter 3, Problem 77A

Interpretation Introduction

Interpretation:

The ratio of carbon to the fixed mass of oxygen for two compounds needs to be determined.

Concept introduction:

The ratio of masses of carbon to that of fixed mass of oxygen can be calculated by comparing the amounts of different carbon needed for a particular mass of oxygen. If the mass of oxygen given in both compounds are different, then change the mass of oxygen in one compound is exactly the same as it is in first compound and then the mass of carbon in terms of the new mass of oxygen is found.

Answer to Problem 77A

The ratio of carbon to fixed mass of oxygen for both the compounds are

For compound I: $\frac{4.82}{6.44}$

For compound II: $\frac{2.414}{6.44}$

Explanation of Solution

For compound I:

$\begin{array}{l}C+O_2\to CO\\ 4.82gmofC\to for6.44gmof{O}_2\\ \frac{carbon}{oxygen}=\frac{4.82}{6.44}\end{array}$

For Compound II:

$\begin{array}{l}C+O_2\to C{O}_2\\ 20.13gmofC\to for53.7gmof{O}_2\\ (x)gmofC\to for6.44gmof{O}_2\\ x=\frac{20.13\times 6.44}{53.7}=2.414\\ 2.414\mathrm{gm}ofC\to for6.44gmof{O}_2\\ thiswegetafterfixingthemassof{O}_2\\ \frac{carbon}{oxygen}=\frac{2.414}{6.44}\end{array}$

Conclusion

The ratio of carbon to fixed mass of oxygen for both the compounds comes out as:

For compound I: $4.82:6.44$

For compound II: $2.414:6.44$