The 4 stroke muffler will be no good, the original 2 stroke muffler has a large expansion chamber compared with that Briggs 4 stroke exhaust.
Adapting the Briggs & Stratton muffler to your 2-stroke Pope mower will not work effectively and will likely cause a significant loss of power. The design of a 4-stroke muffler is fundamentally different from that of a 2-stroke muffler, especially one with an expansion chamber.
Why It Won't Work
The main reason for the incompatibility is the expansion chamber, which is a crucial component of a 2-stroke engine's exhaust system. Unlike a 4-stroke engine, which uses valves to control the flow of exhaust and intake gases, a 2-stroke engine relies on a carefully tuned exhaust system to create a pressure wave. This wave travels back up the pipe and helps "push" unburnt fuel mixture back into the cylinder before the exhaust port closes. The expansion chamber is specifically designed to generate this pressure wave.
A Briggs & Stratton 4-stroke muffler is a simple baffle muffler that's designed to reduce noise by slowing down and cooling exhaust gases. It does not generate the necessary pressure waves for a 2-stroke engine to operate correctly.
If you were to install the 4-stroke muffler on your 2-stroke Pope mower, you would likely experience:
Significant Power Loss: The engine will not be able to generate the correct pressure waves, leading to a loss of the scavenging effect and a poor combustion cycle.
Poor Engine Performance: The engine may run poorly, stall, or be difficult to start.
Increased Risk of Damage: The engine may run too hot, which can lead to premature wear or even catastrophic failure.
You may be able to adapt another 2 stroke muffler to fit even a Victa 2 stroke muffler would be better.I'd say the victa cylinder outlet will be smaller that the Pope but you may be able to open the fitting on the muffler a little to fit the Pope.