QQuestionPhysics
QuestionPhysics
What is the size of one atom?
It is estimated that about one trillion (1,000,000,000,000) atoms would fit into a period at the end of this sentence. If all the atoms were carbon atoms of the same size, and if the period had an approximate volume of 0.00000006 cubic centimeters, what would be the approximate size in cubic centimeters of just one atom?
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Identify the given information
- Number of atoms in a period: $$1 \times 10^{12}$$ atoms
- Volume of the period: 6 \times 10^{- 8} cubic centimeters
Step 3:: Calculate the volume of one atom
V_{atom} = \frac{V_{period}}{N_{atoms}}
To find the volume of one atom, we'll divide the total volume by the number of atoms:
Step 4:: Plug in the values
V_{atom} = \frac{6 \times 10^{-8} \text{ cm}^{3}}{1 \times 10^{12} \text{ atoms}}
Step 5:: Perform the division
V_{atom} = 6 \times 10^{-20} \text{ cm}^{3}
Final Answer
Note: This is a rough estimate based on the given approximation, illustrating the incredibly small scale of individual atoms.
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