A person spends 10000 rupees per seconds.How many years will it take approximately to spend one mole of rupees?

Question

Answer

Calculating Time to Spend One Mole of Rupees

Understanding the Concept of Mole

Before calculating the time to spend one mole of rupees, it is important to understand the concept of mole. A mole is a unit of measurement used in chemistry to express amounts of a chemical substance. One mole of a substance contains 6.022 x 10^23 particles, which is known as Avogadro's number.

Converting Rupees to Mole of Rupees

Since we are given the spending rate in rupees per second, we need to convert this to mole of rupees per second. To do this, we need to know the molar mass of rupees, which is 100 grams per mole. This means that one mole of rupees contains 100 grams of rupees.

Using the molar mass, we can convert the spending rate from rupees per second to mole of rupees per second:

10000 rupees/second x 1 mole rupees/100 grams rupees x 1 gram/1000 milligrams x 1 milligram/1000 micrograms x 1 microgram/10^-6 seconds = 1.0 x 10^-19 mole of rupees/second

Calculating Time to Spend One Mole of Rupees

Now that we have the spending rate in mole of rupees per second, we can calculate the time it takes to spend one mole of rupees:

1 mole of rupees / (1.0 x 10^-19 mole of rupees/second) = 1.0 x 10^19 seconds

Approximating the Time

The calculated time is a very large number, which is difficult to comprehend. To get an idea of how long this is, we can approximate the time in years:

1.0 x 10^19 seconds / (60 seconds/minute x 60 minutes/hour x 24 hours/day x 365 days/year) = 3.17 x 10^11 years

Conclusion

It would take approximately 3.17 x 10^11 years to spend one mole of rupees at a spending rate of 10000 rupees per second.

Answer

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