Answer:
![n_(O_2)=3.84molO_2](https://img.qammunity.org/2021/formulas/chemistry/college/j1mhvzllh8jc82e8181v40x43hpkhbycum.png)
Step-by-step explanation:
Hello!
In this case, since the combustion reaction of methanol is:
![CH_3OH+(3)/(2) O_2\rightarrow CO_2+2H_2O](https://img.qammunity.org/2021/formulas/chemistry/college/ey0acgtciica0wjeiwn9ry6j66ujp8vnny.png)
In such a way, since there is 1:3/2 mole ratio between methanol and oxygen, we can compute the moles of oxygen that are needed to burn 2.56 moles of methanol as shown below:
![n_(O_2)=2.56molCH_3OH*((3)/(2)molO_2)/(1molCH_3OH) \\\\n_(O_2)=3.84molO_2](https://img.qammunity.org/2021/formulas/chemistry/college/v2yk7savgvwvweew6fa6zlnqdcf79effco.png)
Best regards!