The question is:

A reaction rate doubles when the temperature increases from $25~^\circ\mathrm{C}$ to $40~^\circ\mathrm{C}$. Calculate $E_a$ and the frequency factor.

I found the activation energy to be $35.8~^\circ\mathrm{kJ}$ using the two point form of the Arrhenius equation. What I'm having trouble with is finding the frequency factor. I have two unknowns, $k$ and $A$, and to me it seems like this is impossible to solve without knowing what the rate constant $k$ is. All the examples in the book solves this problem graphically, but apparently you can solve this another way according to my teacher.

The answer given for $A$ is $1.9 \cdot 10^6$ but what method do you use to solve for this?

The question is:

A reaction rate doubles when the temperature increases from $\pu{25^\circ C}$ to $\pu{40^\circ C}$. Calculate $E_\mathrm a$ and the frequency factor.

I found the activation energy to be $\pu{35.8 kJ}$ using the two point form of the Arrhenius equation. What I'm having trouble with is finding the frequency factor. I have two unknowns, $k$ and $A$, and to me it seems like this is impossible to solve without knowing what the rate constant $k$ is. All the examples in the book solves this problem graphically, but apparently you can solve this another way according to my teacher.

The answer given for $A$ is $1.9 \times 10^6$ but what method do you use to solve for this?

The question is:

A reaction rate doubles when the temperature increases from 25C to 40C. Calculate Ea and >the frequency factor.

I found the activation energy to be 35.8 kJ using the two point form of the arrhenius equation. What I'm having trouble with is finding the frequency factor. I have two unknowns, k and A, and to me it seems like this is impossible to solve without knowing what the rate constant k is. All the examples in the book solves this problem graphically, but apparently you can solve this another way according to my teacher.

The answer given for A is 1.9 * 10^6 but what method do you use to solve for this?

The question is:

A reaction rate doubles when the temperature increases from $25~^\circ\mathrm{C}$ to $40~^\circ\mathrm{C}$. Calculate $E_a$ and the frequency factor.

I found the activation energy to be $35.8~^\circ\mathrm{kJ}$ using the two point form of the Arrhenius equation. What I'm having trouble with is finding the frequency factor. I have two unknowns, $k$ and $A$, and to me it seems like this is impossible to solve without knowing what the rate constant $k$ is. All the examples in the book solves this problem graphically, but apparently you can solve this another way according to my teacher.

The answer given for $A$ is $1.9 \cdot 10^6$ but what method do you use to solve for this?