When cadmium metal reduces cu in solution CD forms in addition to copper metal. If ΔG=-143KJ calculate k at 25 degree celsius
aint nobody gonna know that
idk how ur teacher expects u to figure that out
To calculate the equilibrium constant (K) at 25 degrees Celsius, you need to use the standard Gibbs free energy change (ΔG°) and the relationship between K and ΔG°.
The relationship between K and ΔG° is given by the equation:
ΔG° = -RT ln K
Where:
- ΔG° is the standard Gibbs free energy change
- R is the gas constant (8.314 J/mol·K or 0.008314 kJ/mol·K)
- T is the temperature in Kelvin (25 + 273 = 298 K)
- ln is the natural logarithm function
First, convert the given ΔG from kJ to J:
ΔG = ΔG° / 1000
ΔG = -143 kJ
ΔG = -143000 J
Now, substitute the known values into the equation:
-143000 J = (-8.314 J/mol·K) × (298 K) × ln K
Divide both sides of the equation by (-8.314 J/mol·K) × (298 K):
(-143000 J) / ((-8.314 J/mol·K) × (298 K)) = ln K
Simplifying the equation:
4.27467 = ln K
To solve for K, take the exponent of both sides:
K = e^(4.27467)
Using a scientific calculator or an online calculator, the calculated value of K at 25 degrees Celsius is approximately 71.08.
Therefore, the equilibrium constant (K) at 25 degrees Celsius is approximately 71.08.
To calculate the equilibrium constant (K) at 25 degrees Celsius using the given ΔG value of -143 kJ, we can use the Gibbs Free Energy equation:
ΔG = -RT ln K
Where:
ΔG = Gibbs Free Energy change (-143 kJ)
R = Gas constant (8.314 J/(mol·K) or 0.008314 kJ/(mol·K))
T = Temperature (25 degrees Celsius or 298 K)
K = Equilibrium constant (unknown)
First, we need to convert the temperature to Kelvin by adding 273 to the Celsius temperature:
T = 25 + 273 = 298 K
Next, we rearrange the equation to solve for K:
ΔG = -RT ln K
ln K = -ΔG / RT
K = e^(-ΔG / RT)
Now, we can substitute the values into the equation and calculate K:
K = e^(-(-143 kJ) / (0.008314 kJ/(mol·K) * 298 K))
Let's calculate this using a calculator:
-143 / (0.008314 * 298) = -0.785434828
Now, we can calculate e^(-0.785434828) using a calculator:
e^(-0.785434828) = 0.455866231
Therefore, the equilibrium constant (K) at 25 degrees Celsius is approximately 0.456.