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Chapter 2: Problem 19

Without using a calculator: a) Which weighs more, 18 elephants or two dozen elephants? Explain your reasoning. b) Which weighs more, \(5.136 \times 10^{23}\) sodium atoms or one mole of sodium atoms? Explain your reasoning.

Short Answer

Expert verified
a) Two dozen elephants weigh more than 18 elephants. b) One mole of sodium atoms, which is \(6.022 \times 10^{23}\) sodium atoms, weigh more than \(5.136 \times 10^{23}\) sodium atoms.

Step by step solution

01

Understanding part (a)

Let's consider the first part of the problem. Here, we need to compare the quantities 18 and two dozen. It's important to know that a dozen is 12. Therefore, two dozen equals 24.
02

Solving part (a)

Since 24 (two dozen) is greater than 18, two dozen elephants weigh more than 18 elephants.
03

Understanding part (b)

Let's move to the second part of the problem. Here, we need to understand what a mole is. In chemistry, a 'mole' refers to Avogadro's number, which is \(6.022 \times 10^{23}\). Now, we need to compare this value to \(5.136 \times 10^{23}\).
04

Solving part (b)

Since \(6.022 \times 10^{23}\) (Avogadro's number, or one mole) is greater than \(5.136 \times 10^{23}\), one mole of sodium atoms weighs more than \(5.136 \times 10^{23}\) sodium atoms.

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