I will give brainliest! In the reaction represented by the equation Al2O3 -> Al + O2, what is the mole ratio of aluminum to oxygen?

mole ratio of Al to O₂ is 4 to 3.

Explanation:

Balance the equation => 2Al₂O₃ => 4Al + 3O₂ => mole ratio of Al to O₂ is 4 to 3.

Note: The coefficients in the form smallest whole number ratios for an equation is known as 'The Standard Equation'. The values represent moles and the fixed reaction ratios of the substances in the process.

Example 3H₂ + N₂ => 2NH₃ says if 3 moles H₂ react with 1 mole N₂ the process will always give 2 moles NH₃. Same in your post... If 2 moles Al₂O₃ decompose the process will always give 4 moles aluminum and 3 moles molecular oxygen. Such is true for all balanced molecular equations. :-)

the earth would become to overheated and everything alive on it will eventually die from overheating. plants will eventually die as well, water will evaporate, and it will be nothing but a hot planet without anything living on it.

it can be observed without changing the identity of the object.

it depends on what substance you're talking about as well as many other factors. in quantum mechanics, the observation of particles affects the observers ability to measure certain properties. for example: you can know the velocity of a particle, but you can't know it's position; or you can know it's position, but not it's velocity. it's like trying to find out where a grain of sand is by throwing other grains of sand at it. once you find out where it is, it's been moved. it's also like trying to find an answer to the question of whether or not a tree falling in a forest makes a sound if nobody is there to hear it. paradoxically, the only way to find out is to be there and hear it.