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smickle · Nov 10, 2008, 09:55 AM

You receive a gift of one mole of dollars, the only condition is that you spend it at the rate of one million dollars per second. How long will it take you to spend the mole of dollars?

Capuchin · Nov 10, 2008, 10:00 AM

How much is in one mole? How much is in one million? Therefore how many seconds will your mole of dollars last for?

Where specifically are you having problems here?

smickle · Nov 10, 2008, 10:29 AM

I am not sure how to set this problem up. I know that 1 mole of dollars is 6.02 X 10 23 but I do not know how to set the rest of the problem up to solve it. Can you please help?

Capuchin · Nov 10, 2008, 10:31 AM

Well, if you had 12 dollars, and had to spend 2 dollars every second, how long would it take you to spend the 12 dollars?

Can you apply how you worked that out to your current problem?

smickle · Nov 10, 2008, 10:38 AM

it would take me 6 seconds to spend 12 dollars. So if 1 mole of dollars is 100,000 X 6.02 X 10 23 = 6.02 X 10 30, it would take me 1 second to spend 1 million dollars...

Capuchin · Nov 10, 2008, 10:41 AM

Why did you multiply by 100,000?

What specifically did you do to get the answer of 6 seconds? Mathematically? Think about it.

smickle · Nov 10, 2008, 10:55 AM

Originally Posted by Capuchin

Why did you multiply by 100,000?

What specifically did you do to get the answer of 6 seconds? mathematically? Think about it.

Because if I had 12 dollars and had to spend 2 dollars per second, 2 X 6 = 12, so it would take me 6 seconds to spend 12 dollars.

But I am not sure how to apply this to my problem. 1 Mole of dollars is avagadro's # which is 6.02 x 10 23.. Correct? So if this is correct I would multiply 1 million dollars by avagadro's #...

Capuchin · Nov 10, 2008, 10:59 AM

Well, in other words you would do 12/2=6 to get the answer 6.

So you need to divide the number of dollars in a mole by a million.

smickle · Nov 10, 2008, 11:14 AM

Originally Posted by Capuchin

Well, in other words you would do 12/2=6 to get the answer 6.

So you need to divide the number of dollars in a mole by a million.

I would take 6.02 x 10 23/1'000'000.00 = 6.02 x 10 18. Would I then divide that number by 60 to get how many seconds it took me to spend it.

Capuchin · Nov 10, 2008, 11:18 AM

It should be $6.02*10^{17}$ . Check the number of 0's you put in your calculator for a million. It's already in seconds. The universe has only been around for about $4*10^{17}$ seconds.

smickle · Nov 10, 2008, 11:25 AM

Originally Posted by Capuchin

It should be $6.02*10^{17}$ . Check the number of 0's you put in your calculator for a million. It's already in seconds. The universe has only been around for about $4*10^{17}$ seconds.

I plugged it into my calculator 6.02 x 10 Exp 23/1000000. My answer was 6.02 x 10 18 and than I divided that by 60 which gave me 1.00 x 10 18 seconds. Is this correct?

smickle · Nov 10, 2008, 11:29 AM

Originally Posted by smickle

I plugged it into my calculator 6.02 x 10 Exp 23/1000000. My answer was 6.02 x 10 18 and than I divided that by 60 which gave me 1.00 x 10 18 seconds. Is this correct?

1 million has 6 zeros.

Capuchin · Nov 10, 2008, 12:06 PM

Oh, you're hitting the exp button in the wrong place. You want to hit 6.02 Exp 23. The Exp replaces "x10^". You were doing 6.02x10x10^23, which is an extra factor of 10.

You don't need to divide by 60. Your answer is already in seconds. (1000000 dollars per second).

The answer I gave is correct, for you to check against. It's good that you are doing the calculation yourself though.

smickle · Nov 10, 2008, 12:18 PM

[QUOTE=Capuchin;1366903]Oh, you're hitting the exp button in the wrong place. You want to hit 6.02 Exp 23. The Exp replaces "x10^". You were doing 6.02x10x10^23, which is an extra factor of 10.

You don't need to divide by 60. Your answer is already in seconds. (1000000 dollars per second).

The answer I gave is correct, for you to check against. It's good that you are doing the calculation yourself though.[/QUOTE

Oh my, thank you for correcting me on in putting my numbers in the calculator. I did not know that I was putting them in wrong. I love chemistry but it confuses me at times ad I have to ask many questions to be able to understand it. Your were very helpful to me and I thank you for it.

skarlin · Feb 5, 2010, 06:09 AM

Come on. It takes a little over 19,000,000 years to spend a mole of dollars if you spend a billion dollars a second!
6.02x1023 is such a large number that it is neartly incomprehensible. If you had that many rice grains, as an example, it would cover the earth! That many sand grains would fill the Sahara desert to a depth of 6 feet - the Sahara is almost the size of the U.S. Pretty big number, huh?

mol10.22_10.26 · Sep 20, 2010, 08:41 PM

19.2 million years.
That was a question I had to answer once and I memorized the answer!
Your welcome