Temperature of Reaction given Equilibrium Constant and Gibbs Energy Solution

STEP 0: Pre-Calculation Summary
Formula Used
Temperature = Gibbs Free Energy/(-2.303*[R]*log10(Equilibrium Constant))
T = G/(-2.303*[R]*log10(Kc))
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Functions Used
log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)
Variables Used
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Gibbs Free Energy - (Measured in Joule) - Gibbs Free Energy is a thermodynamic potential that can be used to calculate the maximum of reversible work that may be performed by a thermodynamic system at a constant temperature and pressure.
Equilibrium Constant - (Measured in Mole per Cubic Meter) - Equilibrium Constant is the value of its reaction quotient at chemical equilibrium.
STEP 1: Convert Input(s) to Base Unit
Gibbs Free Energy: 0.22861 Kilojoule --> 228.61 Joule (Check conversion here)
Equilibrium Constant: 60 Mole per Liter --> 60000 Mole per Cubic Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T = G/(-2.303*[R]*log10(Kc)) --> 228.61/(-2.303*[R]*log10(60000))
Evaluating ... ...
T = -2.49866024832198
STEP 3: Convert Result to Output's Unit
-2.49866024832198 Kelvin --> No Conversion Required
FINAL ANSWER
-2.49866024832198 -2.49866 Kelvin <-- Temperature
(Calculation completed in 00.004 seconds)

Credits

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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K J Somaiya College of science (K J Somaiya), Mumbai
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25 Thermodynamics in Chemical Equilibrium Calculators

Equilibrium Constant 2 in Temperature Range T1 and T2
Go Equilibrium constant 2 = Equilibrium constant 1*exp((Change in Enthalpy/[R])*((Final Temperature at Equilibrium-Initial Temperature at Equilibrium)/(Initial Temperature at Equilibrium*Final Temperature at Equilibrium)))
Equilibrium Constant 1 in Temperature Range T1 and T2
Go Equilibrium constant 1 = Equilibrium constant 2/exp((Change in Enthalpy/[R])*((Final Temperature at Equilibrium-Initial Temperature at Equilibrium)/(Initial Temperature at Equilibrium*Final Temperature at Equilibrium)))
Standard Enthalpy at Initial Temperature T1
Go Change in Enthalpy = (2.303*[R]*Initial Temperature at Equilibrium)*((Change in Entropy/(2.303*[R]))-log10(Equilibrium constant 1))
Standard Enthalpy at Final Temperature T2
Go Change in Enthalpy = (2.303*[R]*Final Temperature at Equilibrium)*((Change in Entropy/(2.303*[R]))-log10(Equilibrium constant 2))
Standard Entropy Change at Final Temperature T2
Go Change in Entropy = (2.303*[R])*(Change in Enthalpy/(2.303*[R]*Final Temperature at Equilibrium)+log10(Equilibrium constant 2))
Standard Enthalpy of Reaction at Equilibrium
Go Change in Enthalpy = (Temperature*Change in Entropy)-(2.303*[R]*Temperature*log10(Equilibrium Constant))
Standard Entropy Change at Equilibrium
Go Change in Entropy = (Change in Enthalpy+(2.303*[R]*Temperature*log10(Equilibrium Constant)))/Temperature
Equilibrium Constant at Initial Temperature T1
Go Equilibrium constant 1 = 10^((-Change in Enthalpy/(2.303*[R]*Initial Temperature at Equilibrium))+(Change in Entropy/(2.303*[R])))
Equilibrium Constant at Final Temperature T2
Go Equilibrium constant 2 = 10^((-Change in Enthalpy/(2.303*[R]*Final Temperature at Equilibrium))+Change in Entropy/(2.303*[R]))
Standard Entropy Change at Initial Temperature T1
Go Change in Entropy = (2.303*[R]*log10(Equilibrium constant 1))+(Change in Enthalpy/Initial Temperature at Equilibrium)
Equilibrium Constant at Equilibrium
Go Equilibrium Constant = 10^((-Change in Enthalpy+(Change in Entropy*Temperature))/(2.303*[R]*Temperature))
Equilibrium Constant due to Pressure Given Gibbs Energy
Go Equilibrium Constant for Partial Pressure = exp(-(Gibbs Free Energy/(2.303*[R]*Temperature)))
Temperature of Reaction given Equilibrium Constant of Pressure and Gibbs Energy
Go Temperature = Gibbs Free Energy/(-2.303*[R]*ln(Equilibrium Constant for Partial Pressure))
Gibbs Free Energy given Equilibrium Constant due to Pressure
Go Gibbs Free Energy = -2.303*[R]*Temperature*ln(Equilibrium Constant for Partial Pressure)
Temperature of Reaction given Equilibrium Constant and Gibbs Energy
Go Temperature = Gibbs Free Energy/(-2.303*[R]*log10(Equilibrium Constant))
Gibbs Free Energy given Equilibrium Constant
Go Gibbs Free Energy = -2.303*[R]*Temperature*log10(Equilibrium Constant)
Equilibrium Constant at Equilibrium given Gibbs Energy
Go Equilibrium Constant = exp(-(Gibbs Free Energy/([R]*Temperature)))
Equilibrium constant given Gibbs free energy
Go Equilibrium Constant = 10^(-(Gibbs Free Energy/(2.303*[R]*Temperature)))
Temperature of Reaction given Standard Enthalpy and Entropy Change
Go Temperature = (Change in Enthalpy-Gibbs Free Energy)/Change in Entropy
Standard Enthalpy of Reaction given Gibbs Free Energy
Go Change in Enthalpy = Gibbs Free Energy+(Temperature*Change in Entropy)
Standard Entropy Change given Gibbs Free Energy
Go Change in Entropy = (Change in Enthalpy-Gibbs Free Energy)/Temperature
Gibbs Free Energy given Standard Enthalpy
Go Gibbs Free Energy = Change in Enthalpy-(Temperature*Change in Entropy)
Gibbs Energy of Reactants
Go Gibbs Free Energy Reactants = Gibbs Free Energy Products-Gibbs Free Energy Reaction
Gibbs Energy of Reaction
Go Gibbs Free Energy Reaction = Gibbs Free Energy Products-Gibbs Free Energy Reactants
Gibbs Energy of Products
Go Gibbs Free Energy Products = Gibbs Free Energy Reaction+Gibbs Free Energy Reactants

Temperature of Reaction given Equilibrium Constant and Gibbs Energy Formula

Temperature = Gibbs Free Energy/(-2.303*[R]*log10(Equilibrium Constant))
T = G/(-2.303*[R]*log10(Kc))

What is equilibrium constant?

Equilibrium constant is defined as the product of concentration of products at equilibrium by the product of concentration of reactants at equilibrium. This representation is known as equilibrium law or chemical equilibrium. The thermodynamically correct equilibrium constant expression relates the activities of all of the species present in the reaction.

How to Calculate Temperature of Reaction given Equilibrium Constant and Gibbs Energy?

Temperature of Reaction given Equilibrium Constant and Gibbs Energy calculator uses Temperature = Gibbs Free Energy/(-2.303*[R]*log10(Equilibrium Constant)) to calculate the Temperature, The Temperature of reaction given equilibrium constant and Gibbs energy formula is defined as the absolute temperature of a gas at given energy during equilibrium of a chemical reaction. Temperature is denoted by T symbol.

How to calculate Temperature of Reaction given Equilibrium Constant and Gibbs Energy using this online calculator? To use this online calculator for Temperature of Reaction given Equilibrium Constant and Gibbs Energy, enter Gibbs Free Energy (G) & Equilibrium Constant (Kc) and hit the calculate button. Here is how the Temperature of Reaction given Equilibrium Constant and Gibbs Energy calculation can be explained with given input values -> -2.49866 = 228.61/(-2.303*[R]*log10(60000)).

FAQ

What is Temperature of Reaction given Equilibrium Constant and Gibbs Energy?
The Temperature of reaction given equilibrium constant and Gibbs energy formula is defined as the absolute temperature of a gas at given energy during equilibrium of a chemical reaction and is represented as T = G/(-2.303*[R]*log10(Kc)) or Temperature = Gibbs Free Energy/(-2.303*[R]*log10(Equilibrium Constant)). Gibbs Free Energy is a thermodynamic potential that can be used to calculate the maximum of reversible work that may be performed by a thermodynamic system at a constant temperature and pressure & Equilibrium Constant is the value of its reaction quotient at chemical equilibrium.
How to calculate Temperature of Reaction given Equilibrium Constant and Gibbs Energy?
The Temperature of reaction given equilibrium constant and Gibbs energy formula is defined as the absolute temperature of a gas at given energy during equilibrium of a chemical reaction is calculated using Temperature = Gibbs Free Energy/(-2.303*[R]*log10(Equilibrium Constant)). To calculate Temperature of Reaction given Equilibrium Constant and Gibbs Energy, you need Gibbs Free Energy (G) & Equilibrium Constant (Kc). With our tool, you need to enter the respective value for Gibbs Free Energy & Equilibrium Constant 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 Temperature?
In this formula, Temperature uses Gibbs Free Energy & Equilibrium Constant. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Temperature = Gibbs Free Energy/(-2.303*[R]*ln(Equilibrium Constant for Partial Pressure))
  • Temperature = (Change in Enthalpy-Gibbs Free Energy)/Change in Entropy
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