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Question:

help with atoms please?

i know all the answers but i just don‘t get how you do it:suppose you had a cube of copper metal, using a balance you found that the copper cube had a mass of 106 grams. using the handbook of chemistry and physics, you fond that the density of copper is 9.0 g/cm^3. an article in the library told you that for every 64 grams of copper, there are 6.02 x 10^23 atoms. use this information to answer the following questions.1. what is the volume of the copper cube? 11.7cm^32. using the volume from question 1, what is the length, width, and height of the copper cube? 2.3cm3. how many atoms are in the cube?? 1 x 10^24 atoms4. suppose you had as many sheets of paper as you had atoms in question 3. if each sheet of paper had a thickness of 0.1mm (1 x 10^-4) how high, in meters would your stack of paper be? 1.0 x 10^20m5. light travels about 3.5 x 10^15m a year. how many lightyears high would your stack of paper be? 9.5 x 10^5 lightyears

Answer:

1. Density equals Mass divided by Volume, so volume equals Mass divided by the Density. So 106/9 2. Since the volume of a cube is just the length of the side cube just take the cube root of the total volume. 3. 6.02x10^23 is equal to one mole, and there is 64 grams in one mole, so 106g times 1mol over 64g. (106/64) then multiply by Avogadro's number (the 6.02x10^23) and you'll have 9.97x10^23, which is your answer but rounded to more significant figures. 4. Just take the number of molecules (sheets of paper now) and multiply by the thickness of each sheet (the .1) and since there is 1000 mm in each meter divide by 1000. (so (1x10^24).1/1000)around 1x10^20 5. now for this one since 1 light year is 3.5x10^15 m and you have 1x10^20 m you should take your m total and divide by the total per light year. this actually give you around 2.86x10^4. you may want to check your other answer source.
Its just an Air intake, they're all legal, besides when you do inspection they dont look under the hood, the only concern about emissions, and all other normal cars functions
Any that say CARB exempt (California Air Resources Board). KN, Volant, AE, and Spectre for starters, check out some websites like Jegs, or just google cold air intakes to check prices and for performance specs, as long as it specifies CARB exempt you'll be good.
The most important thing is to get the units of the given information to cancel, so you end up with the units you want in the final answer. 1. 106 g. / 9.0 g/cm^3 gives cm^3, or volume 2. Since VL x L x L, and all the sides are the same length, take the cube root of the volume 3. There are 6.02 x 10^23 atoms/ 64 grams of copper. Multiply this by the mass of the sample to cancel out the grams. 4. Multiply the thickness of a single sheet of paper in meters by the number of sheets of paper 5. Divide the answer of 4 by the distance light travels in a year. I don't get the same answer as you on this one, I'm not sure why. I ended up with 28571 light years.
As long as it has a CARB number on it, it's legal.

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