Question

how many years it would take to spend Avogadro's number of Rupees with the rate of 10 lakh rupees per second?

Answer 1

A lakh equals 100,000 rupees? Is this right? Let's assume so.

So, 10 lakh = 100,000 x 10 = 1,000,000 rupees per second

So, to spend Avogadro Number of rupees at the rate of one million per second requires this:

6.022 x 10^23 rupee divided by 1 x 10^6 rupee/sec = 6.022 x 10^17 seconds

How many second in one year?

(365 da/yr) x (24 hr/da) x (3600 sec/hr) = 31536000 sec/yr

The answer is 1.9 x 10^10 years. That's a rather long time!



or


avogadro number = 6.023 x 10 ^23
if we spend Rs. 10,00,000 in 1 sec,
then Rs 6.023 x 10^23 will be spent in (6.023 x 10^23 / 10,00,000) = 6.023 x 10^17 sec.
6.023 x 10^17 sec = 6.023 x 10^17 /(60x60x24x365)
= 1.909 x 10^10 years