Estimate the volume of one sodium atom using its metallic radius of 186pm
please help
V = (4/3)*pi*r3 =
(4/3)*3.14*1863 and the answer will be in cubic picometers. If you want it in some other unit, I would change the unit BEFORE plugging into the volume equation.
To estimate the volume of one sodium atom using its metallic radius of 186 pm, you can make an assumption that the sodium atom is spherical in shape. In this case, you can calculate the volume using the formula for the volume of a sphere.
The formula for the volume of a sphere is:
V = (4/3) * π * r^3
where V is the volume and r is the radius.
To calculate the radius, convert the metallic radius from picometers (pm) to meters by dividing by 10^12:
r = 186 pm / 10^12 = 1.86 * 10^-10 meters
Now, substitute the radius value into the volume formula for the sodium atom:
V = (4/3) * π * (1.86 * 10^-10)^3
V ≈ 4.121 * 10^-30 cubic meters
So, the estimated volume of one sodium atom using its metallic radius of 186 pm is approximately 4.121 * 10^-30 cubic meters.