Consider the following first-order reaction: A rightarrow B What is the half-lif

Question

Consider the following first-order reaction: A rightarrow B What is the half-life (in seconds) for the reaction given the following data? As the temperature of a reaction is increased, the rate of reaction increases because... (Circle all that apply.) the reactant molecules collide more frequently the reactant molecules have greater energy the concentration of reactant molecules increases the activation energy is lowered Consider the following first-order reaction: A rightarrow B What would the concentration of A be after 40 seconds given the following data?

Explanation / Answer

28)

Half-life is the time taken for the concentration to reach half the original concentration

At t=0, [Ao] = 1.22M

At t=6,[A]t = 0.61 = [Ao]/2

Hence the half life is equal to 6 seconds

Using Maths

ln(Ao/At) = kt

ln(1.22/0.86) = k * 3

k = 0.11655 s^(-1)

t(1/2) = ln2/k = ln2/0.11655 = 0.693/0.11655 = 6 seconds (approx)

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