Archimedes principle and passing gas

[Charleskim24]

I used a tub for my hemorrhoid. I learned the archimedes principle which the buoyant force is equal to the mass of water displaced. The tub was filled with water 4/5. I accidently farted in a tub and suddenly the water flew into the hole which is located on the top of tub.does the fart gas increase the mass of object?

 

[Stephanus]

I used a tub for my hemorrhoid. I learned the archimedes principle which the buoyant force is equal to the mass of water displaced. The tub was filled with water 4/5. I accidently farted in a tub and suddenly the water flew into the hole which is located on the top of tub.does the fart gas increase the mass of object?

Yes it increases the mass of the object altough very little. But the flowing of the water into the hole I think because the volume of the water also increases.