Radius of Spherical Body 2 given Center-to-Center Distance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Spherical Body 2 = Center-to-center Distance-Distance Between Surfaces-Radius of Spherical Body 1
R2 = z-r-R1
This formula uses 4 Variables
Variables Used
Radius of Spherical Body 2 - (Measured in Meter) - Radius of Spherical Body 2 represented as R1.
Center-to-center Distance - (Measured in Meter) - Center-to-center Distance is a concept for distances, also called on-center spacing, z = R1 + R2 + r.
Distance Between Surfaces - (Measured in Meter) - Distance between surfaces is the length of the line segment between the 2 surfaces.
Radius of Spherical Body 1 - (Measured in Meter) - Radius of Spherical Body 1 represented as R1.
STEP 1: Convert Input(s) to Base Unit
Center-to-center Distance: 40 Angstrom --> 4E-09 Meter (Check conversion here)
Distance Between Surfaces: 10 Angstrom --> 1E-09 Meter (Check conversion here)
Radius of Spherical Body 1: 12 Angstrom --> 1.2E-09 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R2 = z-r-R1 --> 4E-09-1E-09-1.2E-09
Evaluating ... ...
R2 = 1.8E-09
STEP 3: Convert Result to Output's Unit
1.8E-09 Meter -->18 Angstrom (Check conversion here)
FINAL ANSWER
18 Angstrom <-- Radius of Spherical Body 2
(Calculation completed in 00.020 seconds)

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21 Van der Waals Force Calculators

Van der Waals Interaction Energy between Two Spherical Bodies
Go Van der Waals interaction energy = (-(Hamaker Coefficient/6))*(((2*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Center-to-center Distance^2)-((Radius of Spherical Body 1+Radius of Spherical Body 2)^2)))+((2*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Center-to-center Distance^2)-((Radius of Spherical Body 1-Radius of Spherical Body 2)^2)))+ln(((Center-to-center Distance^2)-((Radius of Spherical Body 1+Radius of Spherical Body 2)^2))/((Center-to-center Distance^2)-((Radius of Spherical Body 1-Radius of Spherical Body 2)^2))))
Distance between Surfaces given Van Der Waals Force between Two Spheres
Go Distance Between Surfaces = sqrt((Hamaker Coefficient*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Radius of Spherical Body 1+Radius of Spherical Body 2)*6*Potential Energy))
Van der Waals Force between Two Spheres
Go Van der Waals force = (Hamaker Coefficient*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Radius of Spherical Body 1+Radius of Spherical Body 2)*6*(Distance Between Surfaces^2))
Distance between Surfaces given Potential Energy in Limit of Close-Approach
Go Distance Between Surfaces = (-Hamaker Coefficient*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Radius of Spherical Body 1+Radius of Spherical Body 2)*6*Potential Energy)
Potential Energy in Limit of Closest-Approach
Go Potential Energy = (-Hamaker Coefficient*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Radius of Spherical Body 1+Radius of Spherical Body 2)*6*Distance Between Surfaces)
Radius of Spherical Body 1 given Van der Waals Force between Two Spheres
Go Radius of Spherical Body 1 = 1/((Hamaker Coefficient/(Van der Waals force*6*(Distance Between Surfaces^2)))-(1/Radius of Spherical Body 2))
Radius of Spherical Body 2 given Van Der Waals Force between Two Spheres
Go Radius of Spherical Body 2 = 1/((Hamaker Coefficient/(Van der Waals force*6*(Distance Between Surfaces^2)))-(1/Radius of Spherical Body 1))
Radius of Spherical Body 1 given Potential Energy in Limit of Closest-Approach
Go Radius of Spherical Body 1 = 1/((-Hamaker Coefficient/(Potential Energy*6*Distance Between Surfaces))-(1/Radius of Spherical Body 2))
Radius of Spherical Body 2 given Potential Energy in Limit of Closest-Approach
Go Radius of Spherical Body 2 = 1/((-Hamaker Coefficient/(Potential Energy*6*Distance Between Surfaces))-(1/Radius of Spherical Body 1))
Coefficient in Particle-Particle Pair Interaction
Go Coefficient of Particle–Particle Pair Interaction = Hamaker Coefficient/((pi^2)*Number Density of particle 1*Number Density of particle 2)
Radius of Spherical Body 1 given Center-to-Center Distance
Go Radius of Spherical Body 1 = Center-to-center Distance-Distance Between Surfaces-Radius of Spherical Body 2
Radius of Spherical Body 2 given Center-to-Center Distance
Go Radius of Spherical Body 2 = Center-to-center Distance-Distance Between Surfaces-Radius of Spherical Body 1
Distance between Surfaces given Center-to-Center Distance
Go Distance Between Surfaces = Center-to-center Distance-Radius of Spherical Body 1-Radius of Spherical Body 2
Center-to-Center Distance
Go Center-to-center Distance = Radius of Spherical Body 1+Radius of Spherical Body 2+Distance Between Surfaces
Distance between Surfaces given Van Der Waals Pair Potential
Go Distance Between Surfaces = ((0-Coefficient of Particle–Particle Pair Interaction)/Van der Waals pair potential)^(1/6)
Coefficient in Particle-Particle Pair Interaction given Van der Waals Pair Potential
Go Coefficient of Particle–Particle Pair Interaction = (-1*Van der Waals pair potential)*(Distance Between Surfaces^6)
Van Der Waals Pair Potential
Go Van der Waals pair potential = (0-Coefficient of Particle–Particle Pair Interaction)/(Distance Between Surfaces^6)
Molar Mass given Number and Mass Density
Go Molar Mass = ([Avaga-no]*Mass Density)/Number Density
Mass Density given Number density
Go Mass Density = (Number Density*Molar Mass)/[Avaga-no]
Concentration given Number Density
Go Molar Concentration = Number Density/[Avaga-no]
Mass of Single Atom
Go Atomic Mass = Molecular Weight/[Avaga-no]

20 Important Formulae on Different Models of Real Gas Calculators

Critical Temperature using Peng Robinson Equation given Reduced and Actual Parameters
Go Real Gas Temperature = ((Pressure+(((Peng–Robinson Parameter a*α-function)/((Molar Volume^2)+(2*Peng–Robinson Parameter b*Molar Volume)-(Peng–Robinson Parameter b^2)))))*((Molar Volume-Peng–Robinson Parameter b)/[R]))/Reduced Temperature
Temperature of Real Gas using Peng Robinson Equation
Go Temperature given CE = (Pressure+(((Peng–Robinson Parameter a*α-function)/((Molar Volume^2)+(2*Peng–Robinson Parameter b*Molar Volume)-(Peng–Robinson Parameter b^2)))))*((Molar Volume-Peng–Robinson Parameter b)/[R])
Critical Pressure of Real Gas using Reduced Redlich Kwong Equation
Go Critical Pressure = Pressure/(((3*Reduced Temperature)/(Reduced Molar Volume-0.26))-(1/(0.26*sqrt(Temperature of Gas)*Reduced Molar Volume*(Reduced Molar Volume+0.26))))
Critical Temperature of Real Gas using Reduced Redlich Kwong Equation
Go Critical Temperature given RKE = Temperature of Gas/(((Reduced Pressure+(1/(0.26*Reduced Molar Volume*(Reduced Molar Volume+0.26))))*((Reduced Molar Volume-0.26)/3))^(2/3))
Actual Temperature of Real Gas using Reduced Redlich Kwong Equation
Go Temperature of Gas = Critical Temperature*(((Reduced Pressure+(1/(0.26*Reduced Molar Volume*(Reduced Molar Volume+0.26))))*((Reduced Molar Volume-0.26)/3))^(2/3))
Reduced Pressure given Peng Robinson Parameter b, other Actual and Reduced Parameters
Go Critical Pressure given PRP = Pressure/(0.07780*[R]*(Temperature of Gas/Reduced Temperature)/Peng–Robinson Parameter b)
Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b'
Go Temperature given PRP = Temperature of Gas/((3^(2/3))*(((2^(1/3))-1)^(4/3))*((Redlich–Kwong Parameter a/(Redlich–Kwong parameter b*[R]))^(2/3)))
Critical Pressure given Peng Robinson Parameter b and other Actual and Reduced Parameters
Go Critical Pressure given PRP = 0.07780*[R]*(Temperature of Gas/Reduced Temperature)/Peng–Robinson Parameter b
Hamaker Coefficient
Go Hamaker Coefficient A = (pi^2)*Coefficient of Particle–Particle Pair Interaction*Number Density of particle 1*Number Density of particle 2
Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters
Go Temperature given PRP = Reduced Temperature*((Peng–Robinson Parameter b*Critical Pressure)/(0.07780*[R]))
Actual Temperature of Real Gas using Redlich Kwong Equation given 'b'
Go Real Gas Temperature = Reduced Temperature*((Redlich–Kwong parameter b*Critical Pressure)/(0.08664*[R]))
Reduced Temperature given Peng Robinson Parameter a, and other Actual and Critical Parameters
Go Temperature of Gas = Temperature/(sqrt((Peng–Robinson Parameter a*Critical Pressure)/(0.45724*([R]^2))))
Radius of Spherical Body 1 given Center-to-Center Distance
Go Radius of Spherical Body 1 = Center-to-center Distance-Distance Between Surfaces-Radius of Spherical Body 2
Radius of Spherical Body 2 given Center-to-Center Distance
Go Radius of Spherical Body 2 = Center-to-center Distance-Distance Between Surfaces-Radius of Spherical Body 1
Distance between Surfaces given Center-to-Center Distance
Go Distance Between Surfaces = Center-to-center Distance-Radius of Spherical Body 1-Radius of Spherical Body 2
Center-to-Center Distance
Go Center-to-center Distance = Radius of Spherical Body 1+Radius of Spherical Body 2+Distance Between Surfaces
Actual Pressure given Peng Robinson Parameter a, and other Reduced and Critical Parameters
Go Pressure given PRP = Reduced Pressure*(0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson Parameter a)
Critical Temperature of Real Gas using Redlich Kwong Equation given 'b'
Go Critical Temperature given RKE and b = (Redlich–Kwong parameter b*Critical Pressure)/(0.08664*[R])
Redlich Kwong Parameter b at Critical Point
Go Parameter b = (0.08664*[R]*Critical Temperature)/Critical Pressure
Peng Robinson Parameter b of Real Gas given Critical Parameters
Go Parameter b = 0.07780*[R]*Critical Temperature/Critical Pressure

Radius of Spherical Body 2 given Center-to-Center Distance Formula

Radius of Spherical Body 2 = Center-to-center Distance-Distance Between Surfaces-Radius of Spherical Body 1
R2 = z-r-R1

What are main characteristics of Van der Waals forces?

1) They are weaker than normal covalent and ionic bonds.
2) Van der Waals forces are additive and cannot be saturated.
3) They have no directional characteristic.
4) They are all short-range forces and hence only interactions between the nearest particles need to be considered (instead of all the particles). Van der Waals attraction is greater if the molecules are closer.
5) Van der Waals forces are independent of temperature except for dipole – dipole interactions.

How to Calculate Radius of Spherical Body 2 given Center-to-Center Distance?

Radius of Spherical Body 2 given Center-to-Center Distance calculator uses Radius of Spherical Body 2 = Center-to-center Distance-Distance Between Surfaces-Radius of Spherical Body 1 to calculate the Radius of Spherical Body 2, The Radius of spherical body 2 given Center-to-center distance is the radius of spherical body 2 represented as R2. Radius of Spherical Body 2 is denoted by R2 symbol.

How to calculate Radius of Spherical Body 2 given Center-to-Center Distance using this online calculator? To use this online calculator for Radius of Spherical Body 2 given Center-to-Center Distance, enter Center-to-center Distance (z), Distance Between Surfaces (r) & Radius of Spherical Body 1 (R1) and hit the calculate button. Here is how the Radius of Spherical Body 2 given Center-to-Center Distance calculation can be explained with given input values -> 1.8E+11 = 4E-09-1E-09-1.2E-09.

FAQ

What is Radius of Spherical Body 2 given Center-to-Center Distance?
The Radius of spherical body 2 given Center-to-center distance is the radius of spherical body 2 represented as R2 and is represented as R2 = z-r-R1 or Radius of Spherical Body 2 = Center-to-center Distance-Distance Between Surfaces-Radius of Spherical Body 1. Center-to-center Distance is a concept for distances, also called on-center spacing, z = R1 + R2 + r, Distance between surfaces is the length of the line segment between the 2 surfaces & Radius of Spherical Body 1 represented as R1.
How to calculate Radius of Spherical Body 2 given Center-to-Center Distance?
The Radius of spherical body 2 given Center-to-center distance is the radius of spherical body 2 represented as R2 is calculated using Radius of Spherical Body 2 = Center-to-center Distance-Distance Between Surfaces-Radius of Spherical Body 1. To calculate Radius of Spherical Body 2 given Center-to-Center Distance, you need Center-to-center Distance (z), Distance Between Surfaces (r) & Radius of Spherical Body 1 (R1). With our tool, you need to enter the respective value for Center-to-center Distance, Distance Between Surfaces & Radius of Spherical Body 1 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Radius of Spherical Body 2?
In this formula, Radius of Spherical Body 2 uses Center-to-center Distance, Distance Between Surfaces & Radius of Spherical Body 1. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Radius of Spherical Body 2 = 1/((-Hamaker Coefficient/(Potential Energy*6*Distance Between Surfaces))-(1/Radius of Spherical Body 1))
  • Radius of Spherical Body 2 = 1/((Hamaker Coefficient/(Van der Waals force*6*(Distance Between Surfaces^2)))-(1/Radius of Spherical Body 1))
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