The diameter of a neutral argon atom is about 2.0 multiplied by 102 pm. Suppose that we could line up argon atoms side by side in contact with one another. Approximately how many argon atoms would it take to make the distance 1 cm from end to end?
Convert 200 pm (is that what you wrote?) to cm, then divide that into 1.0 cm.
Check my conversion:
200 pm x (1 m/10^12 pm) x (100 cm/1 m) = ?? cm.
2.04 X 10^-8
To find out how many argon atoms would it take to make a distance of 1 cm from end to end, we need to convert the diameter of an argon atom into centimeters.
Given: Diameter of an argon atom = 2.0 * 10^2 pm (picometers)
To convert picometers to centimeters, we use the conversion factor:
1 pm = 1 * 10^(-10) cm
So the diameter of an argon atom in centimeters is:
2.0 * 10^2 pm * (1 * 10^(-10) cm / 1 pm) = 2.0 * 10^(-8) cm
Now, to calculate the number of argon atoms required to make a distance of 1 cm, we divide 1 cm by the diameter of an argon atom:
1 cm / (2.0 * 10^(-8) cm) = 5.0 * 10^7 argon atoms
Therefore, it would take approximately 5.0 * 10^7 argon atoms to make a distance of 1 cm from end to end.
To find out how many argon atoms it would take to make the distance of 1 cm from end to end, we need to calculate the total number of atoms that fit in this distance by dividing the length by the diameter of a single atom.
First, let's convert the diameter of a neutral argon atom from picometers (pm) to centimeters (cm):
2.0 × 10^2 pm = 2.0 × 10^(-10) m
Since there are 100 cm in 1 m, we can write:
2.0 × 10^(-10) m = 2.0 × 10^(-12) cm
Now, to calculate the number of argon atoms needed to make a 1 cm distance, we divide 1 cm by the diameter of a single argon atom:
Number of argon atoms = (1 cm) / (2.0 × 10^(-12) cm)
To simplify this calculation, we divide the numerator and denominator by 2.0 × 10^(-12) cm:
Number of argon atoms = (1 cm) / (2.0 × 10^(-12) cm) = 5.0 × 10^11
Therefore, it would take approximately 5.0 × 10^11 argon atoms to make a distance of 1 cm from end to end.