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Chapter 30: Problem 8

Using grammatically correct English sentences, explain why is it not correct to state that if we start with 36 pounds each of \(\mathrm{G}, \mathrm{Ch}\), and \(\mathrm{M}\), then we should end up with 3 \(\times 36=108\) pounds of S'mores.

Short Answer

Expert verified
The statement is incorrect because it ignores potential weight loss during the cooking process and the principle of the conservation of mass. The weight of the S'mores would likely be equal to or less than their combined weight before cooking.

Step by step solution

01

Understanding the Elements

There are three main ingredients to making S'mores which are being represented here as \(G\), \(Ch\), and \(M\). Each ingredient is weighted as 36 pounds.
02

Explaining the Misconception

The misconception here is the assumption that when these 36 pounds of each ingredient are combined to make S'mores, the total weight should become 108 pounds (which is 3 \times 36 pounds). The reality is, during the process of making S'mores some ingredients may evaporate, lose water content, or undergo a weight-reducing transformation. In other words, weight loss during cooking or preparation is not uncommon.
03

Physics Law in Play

The assumption also ignores the law of conservation of mass in physics, which states that mass cannot be created nor destroyed, but it can be rearranged. This involves a lot more than simply adding the mass of individual components. It's more accurate to assume that the weight of the S'mores would be equal to or less than the total weight of the individual ingredients before they were combined.

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Most popular questions from this chapter

If you have \(36.0\) pounds of graham crackers, \(36.0\) pounds of chocolate bars, and \(36.0\) pounds of marshmallows: a) which item do you have the most of? b) which item do you have the least of? Explain your reasoning.

Using \(\mathrm{G}\) as the symbol for graham cracker, \(\mathrm{Ch}\) for chocolate bar, and \(\mathrm{M}\) for marshmallow, write a "balanced chemical reaction" for the production of S'mores.
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