If you won 1 mole of rupees in a lottery the day you were born and spent a billion repees every second . how much percentage dtill you will have the prize money the day when you will dieat the age of ninty years?
Answers
The Avogadro's number = 6.022 x 10^23
So the amount you won = 6.022 x 10^23 rupees
One year = 365 days
90 years = 365 x 90 x 24 = 788400 hours
1 hour has 3600 seconds
788400 hours = 788400 x 3600 = 2838240000 seconds
You spend 1 billion per second
Amount spend = 2838240000 x 1,000, 000, 000
= 2.83824 x 10^18 rupees
Amount spend as a percentage = (2.83824 x 10^18)/(6.022 x 10^23) x 100
= 4.71 x 10^-5 %
The percentage remaining = 100 - 4.71x10^-5
= 99.99995287 %
Given : won one mole of rupees in a lottery the day you were born and spent a billion rupees every second
To Find : how much percentage still you have the prize money that day when you will die at age of 90 years
Solution:
1 mole = 6.022 * 10²³
1 hr = 3600 secs
1 year = 365 * 24 * 3600 = 3,15,36,000 secs
=> 90 years = 2,83,82,40,000 secs
spent in 1 sec = 1 billion = 10⁹ Rs
Total Spent = 2,83,82,40,000 * 10⁹ = 2.838 * 10¹⁸
Left %= 100 * ( 6.022 * 10²³ - 2.838 * 10¹⁸ ) / 6.022 * 10²³ = 99.9995 %
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