[rma2002]

The question is attached. I'm confused on how to solve this.

Thanks!

[sjb]

What equations do you know that may help? Can you for instance related rate constant to half-life?

[rma2002]

I'm a beginner at this, right now I'm just trying to learn what concepts are involved with this problem.

First off, I'm confused with the concept of "rate constant." Can you explain what this means?

[Burner]

First off, I'm confused with the concept of "rate constant." Can you explain what this means?

For a reaction A+B  C , we have the following rate equation:

Rate = k[A]^m[B]ⁿ

Where
k is the rate constant
m and n is the order of reaction with respect to A and B respectively

I'm a beginner at this, right now I'm just trying to learn what concepts are involved with this problem.

First-order reaction have a constant half-life, so you can calculate the concentration of reactants after a given time by calculate how many half-lifes has passed at that time interval(or using mathematical formulas derived from this concept). For example, for a first order reaction with a half-life of one hour, if 3 hours have passed, the concentration of the reactant will be halved 3 times, and only 12.5% reactant remains.

There is a simple mathematical relation relating the half-life and rate constant for first-order reaction. Start by using this relation to calculate the half-life first(Refer to your textbook or search in Google if you have no idea about this relation).

[rma2002]

Thanks for the tip!

From this website:

https://www.chem.purdue.edu/gchelp/howtosolveit/Kinetics/Halflife.html

It said half life rate is 0.693/rate, which I calculated to be 1034.32 per second.

My question is what does this mean? like 1034.32 M per second, grams per second, or what? Also, what should I do next?

[mjc123]

Half life is 0.693/rate constant. You see from your question that the rate constant has the units of s^-1, so the half life is 1034 seconds.
Make a habit of being careful with units, it will save you a lot of trouble.

[Burner]

My question is what does this mean? like 1034.32 M per second, grams per second, or what? Also, what should I do next?

It means the amount of reactants is halved after every 1034.32 seconds. If you have 8 mol of reactants at start, after 1034.32 seconds only 4 mol of reactant remains, after 2068.64 seconds only 2 mol of reactant remains, and etc..

You are asked for the concentration of the substance after 500 seconds, and you now know that the half-life is 1034.32 seconds, what would you do next?