Alright, I have a bunch (like 25) of these problems concerning Avogadro's number, and I was gone when they went over them... So I thought I'd post like two, and see if someone could help me out, and show me how I would go about doing these. Thanks in advance!!!
I. On the day the earth was born 4.8 billion years ago, you began putting hydrogen atoms on an analytical balance at a rate of x atoms per second. Yesterday afternoon at half past three, you found that you had put 1.008 grams of hydrogen atoms on the balance. What is the value of x?
And a harder one....
II. You have heard the story of a fellow who rescued the king's daughter from a dragon and then the king told him to name his own reward and he would have it. The willy character said, "I like rice, so get out a chess board and put one grain of rice on the first square. two on the second, four on the third, eight on the next, and so forth. Then give me all of the rice when you fill up the chess board.
The king, who flunked math, (or I who am going to flunk chemistry... =P) 100 at the Royal University, approved the deal and of course you know that the kingdom went bankrupt somewhere around square # 22.
Your problem is similar. You have Avogadro's number of hydrogen atoms and you put one atom on square one, two on the next, etc. If you have any atoms left over when you have hydrogenated (filled with hydrogen atoms) the whole board then start over on the next chess board with one hydrogen atom on the first square of the second board, and two hydrogen atoms on the next square, four atoms on the next square, and so on until you have filled up the second board. On each new board begin with only one atom on the first square and keep going this way until you have exhausted your supply of hydrogen atoms (Avagadro's number of hydrogen atoms). How many chess boards will you fill? (HINT: There are 64 squares on a chessboard....)
And yeah, I'm stumped.... so any help would be much appreciated! I just need some examples to go off for the rest of the assignment... Thanks!
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