How many atoms are in 15 grams of beryllium?

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1249725

2026-07-11 09:30

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要计算15克铍中包含的原子数目,我们需要知道铍的摩尔质量和阿伏伽德罗常数。

铍的摩尔质量大约是9.0122克/摩尔,这意味着1摩尔的铍大约重9.0122克。阿伏伽德罗常数大约是6.02214076×10²³个原子/摩尔。

首先,计算15克铍中有多少摩尔的铍:

\[ \text摩尔数} = \fractext质量}}text摩尔质量}} = \frac15 \text克}}9.0122 \text克/摩尔}} \approx 1.6644 \text摩尔} \]

然后,计算1.6644摩尔的铍中有多少个原子:

\[ \text原子数} = \text摩尔数} \times \text阿伏伽德罗常数} \]

\[ \text原子数} \approx 1.6644 \times 6.02214076 \times 10^23} \approx 1.002 \times 10^24} \text个原子} \]

因此,15克铍中大约包含 \( 1.002 \times 10^24} \) 个原子。

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