We appreciate your visit to Find the rate constant for a reaction at 50 0 degrees Celsius given that the rate constant at 25 0 degrees Celsius is 0 010. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
To find the rate constant at 50 degrees Celsius, we can use the Arrhenius equation.
Explanation:
To find the rate constant at 50.0 degrees Celsius, we can use the Arrhenius equation:
k2 = k1 * exp((Ea / R) * ((1 / T1) - (1 / T2)))
Where:
- k2 is the rate constant at the new temperature (50.0 degrees Celsius)
- k1 is the rate constant at the initial temperature (25.0 degrees Celsius)
- Ea is the activation energy (35.8 kJ)
- R is the gas constant (8.314 J/K*mol)
- T1 is the initial temperature in Kelvin (25.0 degrees Celsius + 273.15 = 298.15 K)
- T2 is the new temperature in Kelvin (50.0 degrees Celsius + 273.15 = 323.15 K)
Plugging in the values:
k2 = 0.010 s⁻¹ * exp((35.8 * 10³ J) / (8.314 J/K*mol) * ((1 / 298.15 K) - (1 / 323.15 K)))
k2 = 0.072 s⁻¹
Thanks for taking the time to read Find the rate constant for a reaction at 50 0 degrees Celsius given that the rate constant at 25 0 degrees Celsius is 0 010. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
Final answer:
To determine the rate constant at 50.0 degrees Celsius, we use the Arrhenius equation with the given activation energy and the rate constant at 25.0 degrees Celsius. The process involves calculating the frequency factor at the initial temperature and then using it to find the rate constant at the higher temperature.
Explanation:
To determine the rate constant at 50.0 degrees Celsius when it is 0.010 s-1 at 25.0 degrees Celsius with an activation energy of 35.8 kJ, we can use the Arrhenius equation:
k = A * e^(-Ea/(RT))
Where:
k is the rate constant,
A is the frequency factor,
Ea is the activation energy,
R is the ideal gas constant (8.314 J/mol K), and
T is the temperature in Kelvin.
First, we'll convert the temperatures from Celsius to Kelvin:
T1 = 25.0 °C + 273.15 = 298.15 K
T2 = 50.0 °C + 273.15 = 323.15 K
Then, using the Arrhenius equation and solving for A at T1:
A = k / e^(-Ea/(RT1))
Now, with A determined, we can find the rate constant at T2:
k2 = A * e^(-Ea/(RT2))
This step-by-step process calculates the rate constant at a different temperature using known values and the Arrhenius equation. The key variables in this equation are the pre-exponential factor, the activation energy, and the temperature.
