Question

Given the following plot for the decomposition of N2O5, calculate the frequency factor (A):Y axis: ln kX axis: 1/t (K)The graph is a linear line.y= -12232x+30.863 R^2=1.000

Answer 1

To calculate the frequency factor (A) from the given plot, we need to use the Arrhenius equation. The Arrhenius equation relates the rate constant (k) of a reaction to the temperature and activation energy. By rearranging the equation, we can solve for A. By substituting the given values into the equation, we can solve for A.

Step-by-step explanation:

To calculate the frequency factor (A) from the given plot, we need to use the Arrhenius equation. The Arrhenius equation relates the rate constant (k) of a reaction to the temperature and activation energy.

The Arrhenius equation is:

k = Ae(-Ea/RT)

where:

• k is the rate constant of the reaction
• A is the frequency factor
• Ea is the activation energy
• R is the gas constant (8.314 J/mol·K)
• T is the temperature in Kelvins

From the given graph, we have the equation of the line as y = -12232x + 30.863. The slope of the line (-12232) represents -Ea/R, so we can calculate the activation energy. By rearranging the equation, we can solve for A.

By substituting the given values into the equation, we can solve for A:

-12232 = -Ea/ (8.314 * 650)

Ea = (-12232) * (8.314 * 650)

Using the obtained activation energy, we can now calculate A by substituting the values into the Arrhenius equation:

1.66 = A * e((-Ea)/(8.314 * 650))

Solving this equation will give us the value of A, the frequency factor.

Answer 2

The frequency factor (A) is calculated by exponentiating the y-intercept of the Arrhenius plot, which is ln(A). Based on the given plot information, A is e to the power of the y-intercept (30.863).

Step-by-step explanation:

To calculate the frequency factor (A) for the decomposition of N2O5, we can use the Arrhenius equation, which relates the rate constant (k) to the temperature (T). The equation is given by k = A * e-(Ea/R*T), where Ea is the activation energy, R is the gas constant, and T is the temperature in Kelvin. The Arrhenius plot provided is a straight-line equation of the form y = mx + b, where y is ln(k), m is the slope (-Ea/R), and b is the y-intercept (ln(A)).

From the given plot information, y = -12232x + 30.863, we can identify the y-intercept as 30.863. This represents the natural logarithm of the frequency factor (ln(A)). To find the frequency factor, we simply exponentiate the y-intercept:

A = e30.863

Calculating this using a calculator or computer will give the frequency factor for the reaction.