Lattice Energy using Lattice Enthalpy Solution

STEP 0: Pre-Calculation Summary
Formula Used
Lattice Energy = Lattice Enthalpy-(Pressure Lattice Energy*Molar Volume Lattice Energy)
U = ΔH-(pLE*Vm_LE)
This formula uses 4 Variables
Variables Used
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.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Lattice Enthalpy: 21420 Joule per Mole --> 21420 Joule per Mole No Conversion Required
Pressure Lattice Energy: 800 Pascal --> 800 Pascal No Conversion Required
Molar Volume Lattice Energy: 22.4 Cubic Meter per Mole --> 22.4 Cubic Meter per Mole No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
U = ΔH-(pLE*Vm_LE) --> 21420-(800*22.4)
Evaluating ... ...
U = 3500
STEP 3: Convert Result to Output's Unit
3500 Joule per Mole --> No Conversion Required
FINAL ANSWER
3500 Joule per Mole <-- Lattice Energy
(Calculation completed in 00.004 seconds)

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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)

Lattice Energy using Lattice Enthalpy Formula

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

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 Lattice Energy using Lattice Enthalpy?

Lattice Energy using Lattice Enthalpy calculator uses Lattice Energy = Lattice Enthalpy-(Pressure Lattice Energy*Molar Volume Lattice Energy) to calculate the Lattice Energy, The Lattice Energy using Lattice Enthalpy of a crystalline solid is a measure of the energy released when ions are combined to make a compound. Lattice Energy is denoted by U symbol.

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

FAQ

What is Lattice Energy using Lattice Enthalpy?
The Lattice Energy using Lattice Enthalpy of a crystalline solid is a measure of the energy released when ions are combined to make a compound and is represented as U = ΔH-(pLE*Vm_LE) or Lattice Energy = Lattice Enthalpy-(Pressure Lattice Energy*Molar Volume Lattice Energy). The Lattice Enthalpy is the molar lattice enthalpy contributing to the work involved in formation of a lattice, Pressure Lattice Energy Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed & 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.
How to calculate Lattice Energy using Lattice Enthalpy?
The Lattice Energy using Lattice Enthalpy of a crystalline solid is a measure of the energy released when ions are combined to make a compound is calculated using Lattice Energy = Lattice Enthalpy-(Pressure Lattice Energy*Molar Volume Lattice Energy). To calculate Lattice Energy using Lattice Enthalpy, you need Lattice Enthalpy (ΔH), Pressure Lattice Energy (pLE) & Molar Volume Lattice Energy (Vm_LE). With our tool, you need to enter the respective value for Lattice Enthalpy, Pressure Lattice Energy & Molar Volume Lattice Energy 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 Lattice Energy?
In this formula, Lattice Energy uses Lattice Enthalpy, Pressure Lattice Energy & Molar Volume Lattice Energy. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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)
  • Lattice Energy = (-[Avaga-no]*Madelung Constant*Charge of Cation*Charge of Anion*([Charge-e]^2)*(1-(Constant Depending on Compressibility/Distance of Closest Approach)))/(4*pi*[Permitivity-vacuum]*Distance of Closest Approach)
  • Lattice Energy = -([Avaga-no]*Number of Ions*0.88*Charge of Cation*Charge of Anion*([Charge-e]^2)*(1-(1/Born Exponent)))/(4*pi*[Permitivity-vacuum]*Distance of Closest Approach)
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