I'm not an athlete, but I've been running 15.3km/day for six days a week for almost a year, and _maybe_ I can put some upper limit on your expectations. While I'm overweight (175cm/86kg, with 75kg being probably the perfect weight for my body type), I am in good shape, and I've been running approximately three times/week, 39km/week for the past 12 years (except the last year).
I don't think an untrained person can go above 500kcal and not feel tired, at least when running. I burn approximately 1100-1200 kcal per session, and from time to time, I do feel tired. It does have an impact on my mental capabilities; hence I do it after work.
A lot will depend on the sport you choose. Burning the same number of calories always felt much more physically demanding when running than when cyclic. Swimming might be the best choice, but it takes much more time than just going for a run/ride. Length and quality of your sleep will also play a big role ( I used to sleep 5h/day, but these days I need around 6h/day to regenerate ). Diet is also important. Plus, the length and intensity of the training session will have a significant impact. Running at 15km/h pace is an order (or two) of magnitude more demanding than running at 12km/h pace.
Be very careful not to overheat and stay hydrated when exercising. From my experience effects of overheating tend to last for hours (if not for the whole day) and have quite a big impact on my mental capabilities and overall feel. It's also not something that I can alleviate or treat successfully once it happens. Sure, a cold shower will bring relief, but it will not get me to 100% of my capabilities, and I will feel tired afterward anyway.
Take into account your shape, weight and age. Don't try to run 7km/day if you're obese, you'll easily get hurt. Swimming, hiking and cyclic might be much better option. Also, start slow, maybe at 20% of your target training session and increase it by 10% every day - see how you feel. Feeling tired is ok, your body will adjust, but if you experience actual pain, cramps, some stiff tendons etc. take a step back.