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A person spends ten thousand rupees per ...

A person spends ten thousand rupees per second. Number of years that will take to spend approximately one mole of rupees is

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To solve the problem of how many years it will take for a person to spend approximately one mole of rupees at a rate of 10,000 rupees per second, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the concept of a mole**: One mole of any substance contains approximately \(6.022 \times 10^{23}\) entities (Avogadro's number). In this case, we are considering one mole of rupees, which means we are dealing with \(6.022 \times 10^{23}\) rupees. 2. **Calculate the total time in seconds to spend one mole of rupees**: The person spends 10,000 rupees per second. To find out how many seconds it will take to spend \(6.022 \times 10^{23}\) rupees, we use the formula: \[ \text{Total time (seconds)} = \frac{\text{Total rupees}}{\text{Rupees per second}} = \frac{6.022 \times 10^{23}}{10,000} \] Calculating this gives: \[ \text{Total time (seconds)} = 6.022 \times 10^{19} \text{ seconds} \] 3. **Convert seconds to minutes**: There are 60 seconds in a minute, so we convert seconds to minutes: \[ \text{Total time (minutes)} = \frac{6.022 \times 10^{19}}{60} \] 4. **Convert minutes to hours**: There are 60 minutes in an hour, so we convert minutes to hours: \[ \text{Total time (hours)} = \frac{6.022 \times 10^{19}}{60 \times 60} \] 5. **Convert hours to days**: There are 24 hours in a day, so we convert hours to days: \[ \text{Total time (days)} = \frac{6.022 \times 10^{19}}{60 \times 60 \times 24} \] 6. **Convert days to years**: There are approximately 365 days in a year, so we convert days to years: \[ \text{Total time (years)} = \frac{6.022 \times 10^{19}}{60 \times 60 \times 24 \times 365} \] 7. **Final Calculation**: Performing the final calculation: \[ \text{Total time (years)} \approx 1.9 \times 10^{12} \text{ years} \] ### Conclusion: It will take approximately \(1.9 \times 10^{12}\) years for the person to spend one mole of rupees at the rate of 10,000 rupees per second.

To solve the problem of how many years it will take for a person to spend approximately one mole of rupees at a rate of 10,000 rupees per second, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the concept of a mole**: One mole of any substance contains approximately \(6.022 \times 10^{23}\) entities (Avogadro's number). In this case, we are considering one mole of rupees, which means we are dealing with \(6.022 \times 10^{23}\) rupees. 2. **Calculate the total time in seconds to spend one mole of rupees**: ...
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