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1. A student mixes baking soda and vinegar in a glass. The results are shown at left. ... Yes I do belive that new substances are being formed because there is a chemical reaction between the baking soda and vinegar turning it into a bubbly substances instead of a powder and liquid.
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In this case, by considering helium gas as an ideal one, we can use the following equation:

Whereas P should go in atmospheres and T in Kelvins; thus we proceed as follows:

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The reaction, Fe2O3 + 3CO------> 2Fe + 3CO2 is an oxidation-reduction reaction.
An oxidation-reduction reaction is a reaction in which there is a change in oxidation number from left to right in the reaction. This is because, a specie is oxidized and another specie is reduced.
In the reaction; Fe2O3 + 3CO------> 2Fe + 3CO2, we can see that the oxidation number of iron decreased from +3 on the left hand side to zero on the right hand side. The oxidation number of carbon was increased from + 2 to +4.
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Explanation:
Image result for How do we determine how many orbitals to draw?
An s orbital is a sphere. In two dimensions, we draw it as a circle.
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One orbital looks like a p orbital with two doughnuts around its middle.
Two orbitals have eight lobes pointing towards the corners of a cube.
Four orbitals have six lobes oriented in various planes (e