Yes! In your pool, each quart of 8.25% bleach will add about 1.5ppm of chlorine and each 121-oz jug will add around 5ppm. Since you have no chlorine in the pool, it is probably best to go ahead and shock the pool. If you take a look at the following chart, you'll see that with a CYA of 40, shock level is 15ppm. http://pool9.net/cl-cya/
Go ahead and add 3 of the jugs in the morning. Tomorrow evening, test your water when the sun is off the pool and then add however much bleach you need to get it back up to 15. The next morning within one hour of sunrise, test again and report your reading. We are looking to see if how much chlorine you are losing overnight from sundown to sunup. If you lose more than 1ppm, you'll want to continue to keep your pool at shock level. If you do NOT lose more than 1ppm, that will be great but you should still keep your chlorine at shock level for one additional day and then let the chlorine drift down. With a CYA of 40, your maintenance range will always be chlorine between 3-6ppm.
For maintenance, you will want to test your pool each evening and add enough bleach to get your chlorine back up to about 6ppm. If you find that you have dipped below 3ppm by the time you test the next evening, take it up to 7 instead of 6. You want to always be able to make it through the day without ever dipping below 3ppm. (It is always best to add your bleach in the evening. The only reason I suggested adding it in the morning this time is because I don't want your pool to be sitting there all day tomorrow with no chlorine in it. That is an open invitation to algae!)
Keep an eye on your pH. You are ok at 7.2 but if it goes any lower, you'll need to use some 20 Mule Team Borax (laundry aisle at Walmart) to bump it up some.
What kind of test kit do you have?
Hope this helps. Come back with further questions and we'll try and help you out.
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