the diameter of a helium atom is about 1*10^2pm.suppose that we could line up helium atoms side by side in contact with one another. aproximately how maney atoms would it take to make the distance from end to end 1cm ?
100 pm = 1E-8 cm = diameter.
# atoms x (2E-8 cm/1 atom) = 1 cm.
Solve for # atoms.
To determine the number of helium atoms required to make the distance from end to end 1cm, we can start by calculating the length of a single helium atom.
Given that the diameter of a helium atom is about 1 * 10^2 pm, we can calculate the radius by dividing the diameter by 2:
Radius = 1 * 10^2 pm / 2 = 5 * 10^1 pm
Now, we need to convert the radius from picometers (pm) to centimeters (cm):
1 pm = 10^-12 cm
Radius = 5 * 10^1 pm * 10^-12 cm/pm = 5 * 10^-11 cm
Since the radius represents half the diameter of the atom, the length of a single helium atom can be calculated as twice the radius:
Length of a helium atom = 2 * Radius = 2 * 5 * 10^-11 cm = 1 * 10^-10 cm
To find the number of atoms required to make the distance from end to end 1 cm, we divide the total distance by the length of a single atom:
Number of atoms = 1 cm / (1 * 10^-10 cm)
Now, let's simplify the division:
Number of atoms = 1 cm * (10^10 cm / 1) = 10^10 cm
Therefore, it would take approximately 10^10 helium atoms lined up side by side to make the distance from end to end 1 cm.
To find the number of helium atoms it would take to make the distance from end to end 1 cm, we need to calculate the number of atoms that fit in 1 cm.
First, let's convert the diameter of a helium atom from picometers (pm) to centimeters (cm).
Given: Diameter of a helium atom = 1 * 10^2 pm
To convert pm to cm, we divide the value by 10^12:
1 * 10^2 pm = 1 * 10^2 / 10^12 cm
= 1 * 10^-10 cm
Now, we know the diameter of a helium atom is 1 * 10^-10 cm.
To find the number of helium atoms that fit in 1 cm, we divide the length by the diameter of a helium atom:
Number of atoms = (1 cm) / (1 * 10^-10 cm)
= 1 / (1 * 10^-10)
= 1 * 10^10
So approximately 1 * 10^10 helium atoms would be needed to make the distance from end to end 1 cm when lined up side by side.