Lattice Enthalpy using Lattice Energy Solution

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

Credits

Created by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
Prerana Bakli has created this Calculator and 800+ more calculators!
Verified by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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25 Lattice Energy Calculators

Lattice Energy using Born-Mayer equation
Go 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)
Constant depending on compressibility using Born-Mayer equation
Go Constant Depending on Compressibility = (((Lattice Energy*4*pi*[Permitivity-vacuum]*Distance of Closest Approach)/([Avaga-no]*Madelung Constant*Charge of Cation*Charge of Anion*([Charge-e]^2)))+1)*Distance of Closest Approach
Minimum Potential Energy of Ion
Go Minimum Potential Energy of Ion = ((-(Charge^2)*([Charge-e]^2)*Madelung Constant)/(4*pi*[Permitivity-vacuum]*Distance of Closest Approach))+(Repulsive Interaction Constant/(Distance of Closest Approach^Born Exponent))
Repulsive Interaction Constant using Total Energy of Ion
Go Repulsive Interaction Constant = (Total Energy of Ion-(-(Madelung Constant*(Charge^2)*([Charge-e]^2))/(4*pi*[Permitivity-vacuum]*Distance of Closest Approach)))*(Distance of Closest Approach^Born Exponent)
Total Energy of Ion given Charges and Distances
Go Total Energy of Ion = ((-(Charge^2)*([Charge-e]^2)*Madelung Constant)/(4*pi*[Permitivity-vacuum]*Distance of Closest Approach))+(Repulsive Interaction Constant/(Distance of Closest Approach^Born Exponent))
Lattice Energy using Born-Lande equation using Kapustinskii Approximation
Go 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)
Born Exponent using Born-Lande equation without Madelung Constant
Go Born Exponent = 1/(1-(-Lattice Energy*4*pi*[Permitivity-vacuum]*Distance of Closest Approach)/([Avaga-no]*Number of Ions*0.88*([Charge-e]^2)*Charge of Cation*Charge of Anion))
Lattice Energy using Born Lande Equation
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
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))
Lattice Energy using Kapustinskii equation
Go Lattice Energy for Kapustinskii Equation = (1.20200*(10^(-4))*Number of Ions*Charge of Cation*Charge of Anion*(1-((3.45*(10^(-11)))/(Radius of Cation+Radius of Anion))))/(Radius of Cation+Radius of Anion)
Repulsive Interaction Constant given Madelung constant
Go Repulsive Interaction Constant given M = (Madelung Constant*(Charge^2)*([Charge-e]^2)*(Distance of Closest Approach^(Born Exponent-1)))/(4*pi*[Permitivity-vacuum]*Born Exponent)
Lattice Energy using Original Kapustinskii equation
Go Lattice Energy for Kapustinskii Equation = ((([Kapustinskii_C]/1.20200)*1.079) *Number of Ions*Charge of Cation*Charge of Anion)/(Radius of Cation+Radius of Anion)
Repulsive Interaction using Total Energy of ion given charges and distances
Go Repulsive Interaction = Total Energy of Ion-(-(Charge^2)*([Charge-e]^2)*Madelung Constant)/(4*pi*[Permitivity-vacuum]*Distance of Closest Approach)
Born Exponent using Repulsive Interaction
Go Born Exponent = (log10(Repulsive Interaction Constant/Repulsive Interaction))/log10(Distance of Closest Approach)
Electrostatic Potential Energy between pair of Ions
Go Electrostatic Potential Energy between Ion Pair = (-(Charge^2)*([Charge-e]^2))/(4*pi*[Permitivity-vacuum]*Distance of Closest Approach)
Repulsive Interaction Constant given Total Energy of Ion and Madelung Energy
Go Repulsive Interaction Constant = (Total Energy of Ion-(Madelung Energy))*(Distance of Closest Approach^Born Exponent)
Repulsive Interaction Constant
Go Repulsive Interaction Constant = Repulsive Interaction*(Distance of Closest Approach^Born Exponent)
Repulsive Interaction
Go Repulsive Interaction = Repulsive Interaction Constant/(Distance of Closest Approach^Born Exponent)
Lattice Energy using Lattice Enthalpy
Go Lattice Energy = Lattice Enthalpy-(Pressure Lattice Energy*Molar Volume Lattice Energy)
Lattice Enthalpy using Lattice Energy
Go Lattice Enthalpy = Lattice Energy+(Pressure Lattice Energy*Molar Volume Lattice Energy)
Outer Pressure of Lattice
Go Pressure Lattice Energy = (Lattice Enthalpy-Lattice Energy)/Molar Volume Lattice Energy
Volume change of lattice
Go Molar Volume Lattice Energy = (Lattice Enthalpy-Lattice Energy)/Pressure Lattice Energy
Repulsive Interaction using Total Energy of Ion
Go Repulsive Interaction = Total Energy of Ion-(Madelung Energy)
Total Energy of Ion in Lattice
Go Total Energy of Ion = Madelung Energy+Repulsive Interaction
Number of Ions using Kapustinskii Approximation
Go Number of Ions = Madelung Constant/0.88

Lattice Enthalpy using Lattice Energy Formula

Lattice Enthalpy = Lattice Energy+(Pressure Lattice Energy*Molar Volume Lattice Energy)
ΔH = U+(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 Enthalpy using Lattice Energy?

Lattice Enthalpy using Lattice Energy calculator uses Lattice Enthalpy = Lattice Energy+(Pressure Lattice Energy*Molar Volume Lattice Energy) to calculate the Lattice Enthalpy, The Lattice Enthalpy using Lattice Energy corresponds to the coalescing of infinitely separated gaseous ions in vacuum to form the ionic lattice. Lattice Enthalpy is denoted by ΔH symbol.

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

FAQ

What is Lattice Enthalpy using Lattice Energy?
The Lattice Enthalpy using Lattice Energy corresponds to the coalescing of infinitely separated gaseous ions in vacuum to form the ionic lattice and is represented as ΔH = U+(pLE*Vm_LE) or Lattice Enthalpy = Lattice Energy+(Pressure Lattice Energy*Molar Volume Lattice Energy). 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 & 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 Enthalpy using Lattice Energy?
The Lattice Enthalpy using Lattice Energy corresponds to the coalescing of infinitely separated gaseous ions in vacuum to form the ionic lattice is calculated using Lattice Enthalpy = Lattice Energy+(Pressure Lattice Energy*Molar Volume Lattice Energy). To calculate Lattice Enthalpy using Lattice Energy, you need Lattice Energy (U), Pressure Lattice Energy (pLE) & Molar Volume Lattice Energy (Vm_LE). With our tool, you need to enter the respective value for Lattice Energy, 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.
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