mol problems

Question

If you had exactly one mole of pennies , how long , in years , would it take you to spend your money if you spend exactly $5,000 every second ?

Answer 1

Convert 1 mole of pennies to a number.

That would b3 6.01x10^23 pennies (that's a lot of pennies)

Now, using dimensional analysis and scientific notation to make the numbers manageable...

 

$5x10^3/sec x 1x10^2 pennies/$ = 5x10^5 pennies/second

6.02x10^23 pennies x 1 second/5x10^5 pennies = 1.2x10^28 seconds

Converting seconds to minutes, hours, days, weeks, years, ...

1.2x10^28 seconds x 1 minute/60 sec x 1 hour/60 min x 1 day/24 hours = 1.39x10^23 days

1.39x10^23 days x 1 week/7 days x 1 year/52 weeks = 3.8x10^20 years