Here is the problem
A typical atom has a diameter of about 1.0 X 10^-10m. What it is in inches?
How many atoms are there along a 1.0 cm line?
( I got the first part but confuse w/ the second part. how do I know how many atoms are there? Please help me)
To determine the number of atoms along a 1.0 cm line, you need to calculate the number of atoms that can fit within this distance. Here's how you can do it:
1. Convert the diameter of an atom from meters to centimeters:
1.0 x 10^-10 m * 100 cm/m = 1.0 x 10^-8 cm
2. Calculate the number of atoms that can fit along a 1.0 cm line:
Number of atoms = Length of line / Diameter of one atom
Number of atoms = 1.0 cm / (1.0 x 10^-8 cm)
To simplify the calculation, we can convert the diameter of one atom from scientific notation to decimal notation:
1.0 x 10^-8 cm = 0.00000001 cm
Now, we can proceed with the calculation:
Number of atoms = 1.0 cm / 0.00000001 cm
Number of atoms ≈ 100,000,000 atoms
So, there are approximately 100,000,000 atoms along a 1.0 cm line.
To convert the diameter of an atom from meters to inches, you can use the conversion factor 1 meter = 39.37 inches.
Given that the diameter of a typical atom is 1.0 x 10^-10 m, we can multiply this value by the conversion factor:
1.0 x 10^-10 m * 39.37 in/m = 3.94 x 10^-9 inches
So, the diameter of a typical atom is approximately 3.94 x 10^-9 inches.
Now, let's move on to the second part of the question: How many atoms are there along a 1.0 cm line?
To determine the number of atoms in a specific length, we need to know the average spacing or distance between atoms. This information is typically given or can be found in scientific resources.
For simplicity, let's assume that the atoms are tightly packed in a 1-dimensional line with atoms touching each other. In this case, the number of atoms along the line would be equal to the length of the line divided by the diameter of one atom.
In this problem, we are given a 1.0 cm line. We need to convert this length to meters in order to match the units with the atomic diameter:
1.0 cm = 1.0 x 10^-2 m
Now, we can calculate the number of atoms:
Number of atoms = (Length of line) / (Diameter of one atom)
Number of atoms = (1.0 x 10^-2 m) / (1.0 x 10^-10 m)
Dividing these values gives us:
Number of atoms = 1.0 x 10^8
So, there are approximately 1.0 x 10^8 atoms along a 1 cm line, assuming tight packing and atoms touching each other.
A typical atom has a diameter of about 1.0 X 10^-10m, or
A typical atom has a diameter of about 1.0 X 10^-8 cm
so divide 1 cm by 1.0 X 10^-8 cm which will give you 10^8 atoms