(Originais Teachy 2024) - Question Medium of Chemistry

When investigating the chemical reactions of compounds containing oxygen, you observed the formation of three different oxides of the same metal M. After performing the quantitative analysis of the reactions, you found that oxide I contained 40% by mass of oxygen and 60% by mass of metal M, oxide II contained 60% by mass of oxygen and 40% by mass of metal M, and oxide III contained 80% by mass of oxygen and 20% by mass of metal M. Based on Dalton's Law of Multiple Proportions, which states that 'if two elements form different compounds, then the ratio by mass of the second element that combines with a fixed mass of the first element is a ratio of small whole numbers', answer: (1) What is the empirical formula of each oxide and how did you reach this conclusion? (2) Considering the relationship between the volumes of reacting gases and the products formed, as stated in Gay-Lussac's Law, how does this law relate to Dalton's Law and what would be the effect if the law of volumes were not respected in the reactions that produced these oxides?