Chapter 8.1, Problem 7R

To determine

The amount of energy released by burning $1\text{g}$ of natural gas as compared to burning $1\text{g}$ of wood.

Answer to Problem 7R

The amount of energy released by burning $1\text{g}$ of natural gas is $4.5$ time burning $1\text{g}$ of wood.

Explanation of Solution

Given info:

Energy content by burning $1\text{g}$ of natural gas, $E_{\text{natural gas}}=49500\text{J}$

Energy content by burning $1\text{g}$ of wood, $E_{\text{wood}}=11000\text{J}$

Formula used:

The expression to determine the amount of energy released by burning $1\text{g}$ of natural gas as compared to burning $1\text{g}$ of wood is,

  $\text{Ratio}=\frac{E_{\text{natural gas}}}{E_{\text{wood}}}$

Calculation:

Substitute the given values in the above equation.

  $\begin{array}{c}\frac{E_{\text{natural gas}}}{E_{\text{wood}}}=\frac{49500\text{J}}{11000\text{J}}\\ E_{\text{natural gas}}=4.5E_{\text{wood}}\end{array}$

Conclusion:

Hence, the amount of energy released by burning $1\text{g}$ of natural gas is $4.5$ time burning $1\text{g}$ of wood.