Q. 2.97 - An Introduction to General, Organic, and Biological Chemistry

Question

A dessert contains $137.25 \mathrm{g}$ of vanilla ice cream. $84 \mathrm{g}$ of fudge sauce, and $43.7 \mathrm{g}$ of nuts.

$(2.3,2.6)$

a. What is the total mass, in grams, of the dessert?

b. What is the total weight, in pounds, of the dessert?

Step-by-Step Solution

Answer

a) The total mass of the dessert in grams is determined as $265 g$

b) The total weight of the dessert in grams is determined as $0.584 lb$

Step 1 : Introduction (part a)

The given is the weight of vanilla ice cream, fudge sauce, and nuts

The objective is to determine the mass and weight of the dessert in grams

Step 2 : Explanation (part a)

a.

Calculate the total mass of the dessert by adding the masses of vanilla ice cream, fudge sauce, and nuts.

$Total mass =mass of vanilla ice cream + mass of fudge sauce + mass of nuts$

$$\begin{gathered} 137.25 g+84 g+43.7 g \\ =265 g \end{gathered}$$

As a result, the total area of dessert will be As a result, the total area of the desert will be $265 \mathrm{g}$

Step 3 : Introduction (part b)

The given is the weight of vanilla ice cream, fudge sauce, and nuts

The objective is to determine the mass and weight of the dessert in grams

Step 4 : Explanation (part b)

b.

Use the following formula to convert grams to pounds $\left(g\right)$ and pounds $\left(b\right)$ and determine the value in pounds using the chosen conversion factor

$1\mathrm{lb}=454 \mathrm{g}$

The following are the conversion factors:

$\frac{1\mathrm{lb}}{454 \mathrm{g}}\text{ and }\frac{454 \mathrm{g}}{1\mathrm{lb}}$

The conversion factor that should be used is as follows:

$\frac{1\mathrm{lb}}{454 \mathrm{g}}$

Determine the weight in pounds from the desired conversion factor. $265 g$

$265 \mathrm{g}\times \frac{1\mathrm{lb}}{454 \mathrm{g}}=0.584\mathrm{lb}$

Thus, the weight of desert will be $0.584\mathrm{lb}$