Do different temperatures of water have different concentrations of oxygen? If so can you provide a source?

Answer 1

Yes. Warm water does not hold oxygen as well. Cold water holds a lot more oxygen.
The amount of oxygen in the water is also dependent on biological activity. If there is a lot of respiration (like decomposition) occuring, there will be less, and if there is a lot of photosynthesis occuring, there will be more. The saturation point (when the water holds the maximum amount of oxygen--100% saturation--this happens when the water is well aerated) depends on temperature, so if you want to calculate the % saturation of oxygen, you need to measure the amount of dissolved oxygen (DO) using a DO kit or meter (in mg/L or parts per million) and temperature and then look up/calculate the the percent saturation.

Below is a link to a diagram I found after a quick search on google. Once you know the concentration of oxygen in mg/L and the temperature, you can calculate % saturation.

By the way, the water that comes from your tap water is very low in oxygen unless you have an aerator. So if you are doing a test on how temperature affects DO, make sure you agitate that water. If you heat water up and let it cool, that will also have very low DO until you agitate it.