QQuestionChemistry
QuestionChemistry
What is the mass of 1 atom of gold? (atomic mass of Au = 197)
12 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Understand the Atomic Mass
The atomic mass of gold (Au) is given as 197 atomic mass units (amu). This represents the mass of one mole of gold atoms.
Step 3:: Convert from Molar Mass to Single Atom Mass
Avogadro's number = $$6.022 \times 10^{23}$$ atoms/mole
To find the mass of a single atom, we need to divide the molar mass by Avogadro's number.
Step 4:: Calculate the Mass of One Gold Atom
m_{Au} = \frac{197 \text{ amu}}{6.022 \times 10^{23} \text{ atoms/mole}}
Step 5:: Perform the Calculation
m_{Au} = 3.27 \times 10^{-22} \text{ g/atom}
Final Answer
Note: The calculation uses the standard conversion where 1 amu = 1.66 × 10^- 24 g, and Avogadro's number is 6.022 \times 10^{23} atoms/mole.
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students