Question

animal money on display at the national history museum in kuala lumpur
a tin crocodile is composed of $6.85 \times 10^{24}$ atoms of tin.
what is the mass of the tin crocodile in grams?
report your answer to the nearest whole number
show avogadros number
\boxed{} grams of tin
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Explanation:

Step1: Recall Avogadro's number and molar mass of tin

Avogadro's number ($N_A$) is $6.022\times 10^{23}$ atoms/mol. The molar mass of tin (Sn) is 118.71 g/mol (from periodic table). We know the number of atoms ($N = 6.85\times 10^{24}$ atoms) and we need to find the mass ($m$). First, find the number of moles ($n$) using $n=\frac{N}{N_A}$.
$$n=\frac{6.85\times 10^{24}\text{ atoms}}{6.022\times 10^{23}\text{ atoms/mol}}$$

Step2: Calculate moles of tin

Calculate the value of $n$:
$$n=\frac{6.85\times 10^{24}}{6.022\times 10^{23}}\approx 11.375\text{ mol}$$

Step3: Calculate mass using moles and molar mass

Mass $m = n\times M$, where $M$ is molar mass (118.71 g/mol).
$$m = 11.375\text{ mol}\times 118.71\text{ g/mol}$$
$$m\approx 11.375\times 118.71\approx 1351\text{ g}$$ (rounded to nearest whole number)

Answer:

1351