Rate of Reaction and Temperature:
The rate of a chemical reaction is a measure of how quickly reactants are converted into products. It is influenced by several factors, including temperature, concentration of reactants, and the presence of catalysts. In this case, we are specifically looking at the effect of temperature on the rate of a particular reaction.

Effect of Temperature on Reaction Rate:
Temperature plays a crucial role in the rate of a chemical reaction. According to the Arrhenius equation, the rate constant (k) of a reaction is exponentially related to the temperature (T) and the activation energy (Ea) of the reaction. The equation is given as:

k = A * e^(-Ea/RT)

Where:
- k is the rate constant
- A is the pre-exponential factor, which represents the frequency of successful collisions between reactant molecules
- Ea is the activation energy
- R is the gas constant
- T is the temperature in Kelvin

Rate Increase with Temperature:
In this case, it is mentioned that the rate of the reaction increases by a factor of 2 when the temperature is increased from 27°C to 37°C. To determine the activation energy, we can use the Arrhenius equation and the given information.

Let's assume the rate constant at 27°C is k1, and at 37°C is k2. Since the rate is directly proportional to the rate constant, we can write:

Rate at 37°C / Rate at 27°C = k2 / k1 = 2

Calculating Activation Energy:
To determine the activation energy, we need to rearrange the Arrhenius equation and take the natural logarithm of both sides:

ln(k2/k1) = (-Ea/R) * (1/T2 - 1/T1)

Substituting the values:
ln(2) = (-Ea/R) * (1/(37+273) - 1/(27+273))

Simplifying the equation:
ln(2) = (-Ea/R) * (0.0034 - 0.0031)
ln(2) = (-Ea/R) * 0.0003

Now, rearrange the equation to solve for the activation energy (Ea):
Ea = -ln(2) * R / 0.0003

Conclusion:
By calculating the value of activation energy, we can determine the energy barrier that needs to be overcome for the reaction to occur. In this case, the activation energy can be calculated using the Arrhenius equation and the given information about the rate increase with temperature. The value of activation energy will depend on the specific reaction under consideration.