Volume change of lattice Solution

STEP 0: Pre-Calculation Summary
Formula Used
Molar Volume Lattice Energy = (Lattice Enthalpy-Lattice Energy)/Pressure Lattice Energy
Vm_LE = (ΔH-U)/pLE
This formula uses 4 Variables
Variables Used
Molar Volume Lattice Energy - (Measured in Cubic Meter per Mole) - Molar Volume Lattice Energy is the volume occupied by one mole of a substance which can be a chemical element or a chemical compound at Standard Temperature and Pressure.
Lattice Enthalpy - (Measured in Joule per Mole) - The Lattice Enthalpy is the molar lattice enthalpy contributing to the work involved in formation of a lattice.
Lattice Energy - (Measured in Joule per Mole) - The Lattice Energy of a crystalline solid is a measure of the energy released when ions are combined to make a compound.
Pressure Lattice Energy - (Measured in Pascal) - Pressure Lattice Energy Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
STEP 1: Convert Input(s) to Base Unit
Lattice Enthalpy: 21420 Joule per Mole --> 21420 Joule per Mole No Conversion Required
Lattice Energy: 3500 Joule per Mole --> 3500 Joule per Mole No Conversion Required
Pressure Lattice Energy: 800 Pascal --> 800 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vm_LE = (ΔH-U)/pLE --> (21420-3500)/800
Evaluating ... ...
Vm_LE = 22.4
STEP 3: Convert Result to Output's Unit
22.4 Cubic Meter per Mole --> No Conversion Required
FINAL ANSWER
22.4 Cubic Meter per Mole <-- Molar Volume Lattice Energy
(Calculation completed in 00.004 seconds)

Credits

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Created by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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National Institute of Information Technology (NIIT), Neemrana
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Lattice Energy Calculators

Lattice Energy using Born Lande Equation
​ LaTeX ​ Go Lattice Energy = -([Avaga-no]*Madelung Constant*Charge of Cation*Charge of Anion*([Charge-e]^2)*(1-(1/Born Exponent)))/(4*pi*[Permitivity-vacuum]*Distance of Closest Approach)
Born Exponent using Born Lande Equation
​ LaTeX ​ Go Born Exponent = 1/(1-(-Lattice Energy*4*pi*[Permitivity-vacuum]*Distance of Closest Approach)/([Avaga-no]*Madelung Constant*([Charge-e]^2)*Charge of Cation*Charge of Anion))
Electrostatic Potential Energy between pair of Ions
​ LaTeX ​ Go Electrostatic Potential Energy between Ion Pair = (-(Charge^2)*([Charge-e]^2))/(4*pi*[Permitivity-vacuum]*Distance of Closest Approach)
Repulsive Interaction
​ LaTeX ​ Go Repulsive Interaction = Repulsive Interaction Constant/(Distance of Closest Approach^Born Exponent)

Volume change of lattice Formula

​LaTeX ​Go
Molar Volume Lattice Energy = (Lattice Enthalpy-Lattice Energy)/Pressure Lattice Energy
Vm_LE = (ΔH-U)/pLE

Why are lattice energy and enthalpy defined using opposite signs?

The lattice energy and enthalpy defined using opposite signs as the energy required to convert the crystal into infinitely separated gaseous ions in vacuum, an endothermic process. Following this convention, the lattice energy of NaCl would be +786 kJ/mol. The lattice energy for ionic crystals such as sodium chloride, metals such as iron, or covalently linked materials such as diamond is considerably greater in magnitude than for solids such as sugar or iodine, whose neutral molecules interact only by weaker dipole-dipole or van der Waals forces.

How to Calculate Volume change of lattice?

Volume change of lattice calculator uses Molar Volume Lattice Energy = (Lattice Enthalpy-Lattice Energy)/Pressure Lattice Energy to calculate the Molar Volume Lattice Energy, The Volume change of lattice formula is the molar volume occupied by a crystal lattice with maximum stabilization factors. Molar Volume Lattice Energy is denoted by Vm_LE symbol.

How to calculate Volume change of lattice using this online calculator? To use this online calculator for Volume change of lattice, enter Lattice Enthalpy (ΔH), Lattice Energy (U) & Pressure Lattice Energy (pLE) and hit the calculate button. Here is how the Volume change of lattice calculation can be explained with given input values -> 22.4 = (21420-3500)/800.

FAQ

What is Volume change of lattice?
The Volume change of lattice formula is the molar volume occupied by a crystal lattice with maximum stabilization factors and is represented as Vm_LE = (ΔH-U)/pLE or Molar Volume Lattice Energy = (Lattice Enthalpy-Lattice Energy)/Pressure Lattice Energy. The Lattice Enthalpy is the molar lattice enthalpy contributing to the work involved in formation of a lattice, The Lattice Energy of a crystalline solid is a measure of the energy released when ions are combined to make a compound & Pressure Lattice Energy Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
How to calculate Volume change of lattice?
The Volume change of lattice formula is the molar volume occupied by a crystal lattice with maximum stabilization factors is calculated using Molar Volume Lattice Energy = (Lattice Enthalpy-Lattice Energy)/Pressure Lattice Energy. To calculate Volume change of lattice, you need Lattice Enthalpy (ΔH), Lattice Energy (U) & Pressure Lattice Energy (pLE). With our tool, you need to enter the respective value for Lattice Enthalpy, Lattice Energy & Pressure Lattice Energy 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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