Maybe your oil pan has a crack. Could also be that the drain plug isn't perfectly tight.
The 2001 Toyota Corolla engine oil capacity is 4.5 quarts of motor oil. For quarts of oil will go into the engine and one half quart of oil will be in the oil filter.
3.5 us qts
the answer is yes. since the tensioner is hydraulic and require oil supplied from the oil pump to add pressure to the sleeve/guide.
What type of oil goes in the engine of a 2011 Toyota Corolla S
Your 2001 Toyota corolla SHOULDN'T use 1 quart of oil for every refill of the gas tank. If yours is doing this, i would stop driving it immediately because if you lose enough oil, your engine will overheat and cease itself in place, literally welding it so it will never move again. I believe that you have a very severe oil leak and would get it checked right away.
An oil leak is always going to be out of the engine as the engine contains oil and the car does not. I think you are saying you are loosing oil with no apparent leak. If that is the case the engine is burning oil and that is why you see no leaks.
engine oil leak
If you have an engine oil leak on your 2002 Peugeot 206 1.4, you can use an oil stop-leak product to fix it.
There are a number of places an Oil Leak can occur take your pick.
5w - 30
they leak oil from the oil pump on the front of the engine
To use Lucas Stop Leak in a 2001 Toyota Corolla LE, first ensure the engine is off and cool. Shake the bottle well, then add the recommended amount (usually around 1 to 2 quarts) directly into the oil fill cap or the transmission fluid dipstick tube, depending on the type of leak you're addressing. After adding, run the engine for a short period to allow the product to circulate and seal any leaks. Monitor the vehicle for improvements and check fluid levels regularly.