Calculate the mass (in kg)of 4.87 × 10²⁵ atoms of Zn. A) 5.29 kg B) 1.89 kg C) 8.09 kg D) 1.24 kg E) 1.09 kg

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Quizplus · Accepted Answer

To calculate the mass of $4.87 \times 10^{25}$ atoms of Zn, we use the molar mass of Zn and Avogadro's number. The molar mass of Zn is approximately 65.38 g/mol, and Avogadro's number is $6.022 \times 10^{23}$ atoms/mol. The mass can be calculated as follows:$$\text{Mass} = \frac{4.87 \times 10^{25} \text{ atoms} \times 65.38 \text{ g/mol}}{6.022 \times 10^{23} \text{ atoms/mol}}$$$$\text{Mass} = \frac{4.87 \times 10^{25} \times 65.38}{6.022 \times 10^{23}}$$$$\text{Mass} = 5.29 \times 10^{3} \text{ g} = 5.29 \text{ kg}$$Therefore, the mass of $4.87 \times 10^{25}$ atoms of Zn is 5.29 kg.

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