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The rate constant ,the activation energy and arrhenius parameter of a chemical reaction at 25celciusare ×,10x kj/mol and 2x s-1.value of rate constant as T-> infinity.?
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The rate constant ,the activation energy and arrhenius parameter of a ...
At infinite temp. rate constant = velocity factor or arhenius parameter (A)...so it should be 2x s-1 .....
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The rate constant ,the activation energy and arrhenius parameter of a ...
Calculation of Rate Constant at T-> ∞
1. Arrhenius Equation:
The Arrhenius equation relates the rate constant (k) to the activation energy (Ea) and the temperature (T) using the formula:
\[ k = A * e^{-\frac{E_a}{RT}} \]
where:
k = rate constant
A = Arrhenius parameter
Ea = activation energy
R = gas constant (8.314 J/mol*K)
T = temperature in Kelvin
2. Given Values:
- A = 2x s^-1
- Ea = 10x kJ/mol
- T = 25°C = 298 K
3. Calculation:
Substitute the given values into the Arrhenius equation:
\[ k = 2x * e^{-\frac{10x*10^3}{8.314*298}} \]
4. Simplify:
\[ k = 2x * e^{-\frac{10000x}{2480.372}} \]
\[ k = 2x * e^{-4.028x} \]
5. As T-> ∞:
When the temperature approaches infinity (T-> ∞), the exponential term becomes negligible, and the rate constant simplifies to:
\[ k = 2x \]
Therefore, the rate constant as T approaches infinity is 2x s^-1.
1. Arrhenius Equation:
The Arrhenius equation relates the rate constant (k) to the activation energy (Ea) and the temperature (T) using the formula:
\[ k = A * e^{-\frac{E_a}{RT}} \]
where:
k = rate constant
A = Arrhenius parameter
Ea = activation energy
R = gas constant (8.314 J/mol*K)
T = temperature in Kelvin
2. Given Values:
- A = 2x s^-1
- Ea = 10x kJ/mol
- T = 25°C = 298 K
3. Calculation:
Substitute the given values into the Arrhenius equation:
\[ k = 2x * e^{-\frac{10x*10^3}{8.314*298}} \]
4. Simplify:
\[ k = 2x * e^{-\frac{10000x}{2480.372}} \]
\[ k = 2x * e^{-4.028x} \]
5. As T-> ∞:
When the temperature approaches infinity (T-> ∞), the exponential term becomes negligible, and the rate constant simplifies to:
\[ k = 2x \]
Therefore, the rate constant as T approaches infinity is 2x s^-1.
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The rate constant ,the activation energy and arrhenius parameter of a chemical reaction at 25celciusare ×,10x kj/mol and 2x s-1.value of rate constant as T-> infinity.?
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