For the reaction:
2n2o5(g) → 4no2(g) + o2(g) the rate law is: (δ[o2]/δt) = k[n2o5] at 300 k, the half-life is 2.50 × 104 seconds and the activation energy is 103.3 kj/mol. what is the half-life at 310 k? (hint: use rate law expression to determine the reaction order → solve for k1 at 300 k using the corresponding half-life expression → use two-point arrhenius equation to solve for k2 at 310 k → use the half-life expression again to solve for half-life at 310 k)

Half-life at 310 K is 6.54 × 10³ s.

Explanation:

Let's consider the following reaction:

2 N₂O₅(g) → 4 NO₂(g) + O₂(g)

The rate law is:

(Δ[O₂]/Δt) = k . [N₂O₅]

Since [N₂O₅] is raised to the power of 1, the reaction order is 1.

For a first-order reaction:

where,

is the half-life

is the rate constant

At 300 K,

We can use two-point Arrhenius equation to solve for k₂ at 310 K

At 310 K,

The Sewage and Farm runoff are both entering the ocean in the largest amounts due to overpopulation, when a city gains more people, the farms need to produce more, while the smaller farmers' markets are trailed behind during this process, the larger companies using mass production take over, creating waste that leads to the ocean. When this happens, and more people are coming in, they create more waste, from washing hands, dishes, showers, to using the restroom, it all leads into one large sewage system, which leads out to the ocean.

It's a big cycle, all leading to the demise of the ocean