Atomic radius given atomic volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Atomic Radius = ((Atomic Volume*3)/(4*pi))^(1/3)
r = ((V*3)/(4*pi))^(1/3)
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Atomic Radius - (Measured in Meter) - Atomic Radius is the radius of the atom which forms the metallic crystal.
Atomic Volume - (Measured in Cubic Meter per Mole) - Atomic Volume is the volume one mole of an element occupies at room temperature.
STEP 1: Convert Input(s) to Base Unit
Atomic Volume: 95.5 Cubic Meter per Mole --> 95.5 Cubic Meter per Mole No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = ((V*3)/(4*pi))^(1/3) --> ((95.5*3)/(4*pi))^(1/3)
Evaluating ... ...
r = 2.83555616592256
STEP 3: Convert Result to Output's Unit
2.83555616592256 Meter -->28355561659.2256 Angstrom (Check conversion ​here)
FINAL ANSWER
28355561659.2256 2.8E+10 Angstrom <-- Atomic Radius
(Calculation completed in 00.004 seconds)

Credits

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Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 500+ more calculators!
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Verified by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
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Atomic radius given atomic volume
​ LaTeX ​ Go Atomic Radius = ((Atomic Volume*3)/(4*pi))^(1/3)
Atomic Volume
​ LaTeX ​ Go Atomic Volume = (4/3)*pi*(Atomic Radius^3)

Atomic radius given atomic volume Formula

​LaTeX ​Go
Atomic Radius = ((Atomic Volume*3)/(4*pi))^(1/3)
r = ((V*3)/(4*pi))^(1/3)

How do we find the atomic volume of an element?

Atomic volume is used to the atomic or ionic radius of an atom (depending on whether or not you are dealing with an ion). This calculation is based on the idea of an atom as a sphere, which isn't precisely accurate. However, it's a decent approximation.
In this case, the formula for the volume of a sphere is used, where r is the atomic radius:
volume = (4/3)(π)(r^3).

How to Calculate Atomic radius given atomic volume?

Atomic radius given atomic volume calculator uses Atomic Radius = ((Atomic Volume*3)/(4*pi))^(1/3) to calculate the Atomic Radius, The Atomic radius given atomic volume formula is a measure of the size of its atoms, usually the mean or typical distance from the center of the nucleus to the boundary of the surrounding shells of electrons. Atomic Radius is denoted by r symbol.

How to calculate Atomic radius given atomic volume using this online calculator? To use this online calculator for Atomic radius given atomic volume, enter Atomic Volume (V) and hit the calculate button. Here is how the Atomic radius given atomic volume calculation can be explained with given input values -> 2.8E+20 = ((95.5*3)/(4*pi))^(1/3).

FAQ

What is Atomic radius given atomic volume?
The Atomic radius given atomic volume formula is a measure of the size of its atoms, usually the mean or typical distance from the center of the nucleus to the boundary of the surrounding shells of electrons and is represented as r = ((V*3)/(4*pi))^(1/3) or Atomic Radius = ((Atomic Volume*3)/(4*pi))^(1/3). Atomic Volume is the volume one mole of an element occupies at room temperature.
How to calculate Atomic radius given atomic volume?
The Atomic radius given atomic volume formula is a measure of the size of its atoms, usually the mean or typical distance from the center of the nucleus to the boundary of the surrounding shells of electrons is calculated using Atomic Radius = ((Atomic Volume*3)/(4*pi))^(1/3). To calculate Atomic radius given atomic volume, you need Atomic Volume (V). With our tool, you need to enter the respective value for Atomic Volume and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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