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Question
the \welcome nugget\ was discovered by cornish miners in australia in 1858. although it was eventually melted down, it remains one of the most famous gold nuggets ever discovered.
a replica of the welcome nugget
the welcome nugget had a mass of 69,000 grams—that’s over 152 pounds!
how many moles of gold did the welcome nugget contain?
report your answer to the nearest whole number.
______ moles of gold
Step1: Recall the formula for moles
The formula to calculate the number of moles ($n$) is $n = \frac{m}{M}$, where $m$ is the mass of the substance in grams and $M$ is the molar mass of the substance. For gold (Au), the molar mass is approximately 196.97 g/mol.
Step2: Identify the given mass
The mass of the Welcome Nugget ($m$) is 69,000 grams.
Step3: Calculate the number of moles
Substitute the values into the formula: $n = \frac{69000\ \text{g}}{196.97\ \text{g/mol}}$.
First, perform the division: $69000 \div 196.97 \approx 350.3$.
Step4: Round to the nearest whole number
Rounding 350.3 to the nearest whole number gives 350.
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350