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There are_moles in \( 9.01 \times 10^{23} \) molecules of water Your answer should be rounded to three significant figures. a 1.50 b 150 c 0.150 Get help on this question \( \quad \begin{array}{l}\text { e above }\end{array} \)

Ask by Long Martin. in the United States
Feb 26,2025

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Answer

The number of moles is 1.50.

Solution

To calculate the number of moles, use Avogadro’s number:  Number of moles = (Number of molecules) / (6.022 × 10^23 molecules/mol) For 9.01 × 10^23 molecules of water, the number of moles is:  (9.01 × 10^23) / (6.022 × 10^23) = 1.495 moles Rounded to three significant figures, this becomes 1.50 moles. Thus, the answer is (a) 1.50.

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Bonus Knowledge

To find the number of moles in \( 9.01 \times 10^{23} \) molecules of water, you can use Avogadro's number, which states that 1 mole of any substance contains approximately \( 6.022 \times 10^{23} \) particles (molecules, atoms, etc.). To calculate the moles, you can use the formula: \[ \text{Moles} = \frac{\text{Number of molecules}}{\text{Avogadro's number}} \] Now, plugging in the values: \[ \text{Moles} = \frac{9.01 \times 10^{23}}{6.022 \times 10^{23}} \approx 1.50 \] So the answer rounded to three significant figures is a) 1.50. In response to your question, a common mistake here is forgetting to divide by Avogadro's number; instead, some might just take the number of molecules as is. Always remember that converting between molecules and moles requires this pivotal step!

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