State and local building codes will tell you for your area, but, I would use no smaller than 3" to tie in everything.
The maximum distance a toilet can be moved from the stack while still maintaining proper plumbing functionality is typically around 6 to 10 feet. Beyond this distance, there may be issues with proper drainage and venting. It is important to consult a professional plumber to ensure the toilet is properly relocated.
The toilet is 3 or 4 inch and the shower is 1 1/2 or 2 inch. You could reduce the toilet to 2 inch, but it would never flush correctly or be of much use. The current toilet drain has no trap in that section because one isn't needed. The toilet itself is the trap. If you are using existing waste lines, they should already be connected to the vent stack. If you are adding lines, connecting to the existing stack is fine as long as it is above the last drain.
What is the developed lenght and a VENT STACK should be no less then 4" passing through the roof full size to prevent hoarfrost
Sure, honey, the drains for the shower and sink can definitely come before the toilet drain. As long as everything eventually connects to the main stack, you're good to go. Just make sure you follow local plumbing codes and use proper fittings – we don't want any leaks causing a stink!
The maximum distance that a toilet can be located from a vent stack is typically around 6 feet.
A slow-flushing toilet that gurgles may be caused by a clog in the drain pipe, a problem with the vent stack, or issues with the toilet's internal components. It is important to address this issue promptly to prevent further damage and ensure proper functioning of the toilet.
in the kitchen cabinet
As long as there is a cleanout on the stack, 25 feet
Which code ? there are several out there
A vent pipe which is the continuation of a SOIL STACK which means a toilet is drained into it versus a waste stack that is continuation of a grey water drain.
A double stack system is where you have the main soil stack to carry away toilet waste (Generally). With a separate pipe taking waste water from a Shower/Bath/Basin to an outside gully leading to a sewage drain (maybe via guttering on your property). Not a common system on new builds but still found on pre 60's plumbing.
Most of the time they are. Depends on how far of course. Usually, the toilet is by the main stack so it only has to go the 12 to 16 inches to get to the drain. The main stack goes through the roof for the vent for the whole house or the bath and laundry. As long as the toilet is getting venting from somewhere, it should still flush.