10^10 grains = 1sso,6.023 × 10^23 grains =(6.023 × 10^23) / 10^10 s =6.023 × 10^13 s ...answer

Calculating the Time to Separate Grains:

To calculate the time it will take for a man to separate a given number of grains, we can use the following formula:

Time = Number of grains / Grains separated per second

In this case, we are given that a man can separate 10^10 grains in 1 second. We need to find out how much time he will take to separate 6.023×10^23 grains.

Step 1: Convert the given numbers to scientific notation:

6.023×10^23 grains
10^10 grains

Step 2: Substitute the values into the formula:

Time = (6.023×10^23 grains) / (10^10 grains per second)

Step 3: Simplify the expression:

To divide the numbers in scientific notation, we subtract the exponents:

Time = 6.023×10^(23-10) seconds

Time = 6.023×10^13 seconds

Step 4: Convert the result to a more understandable form:

To convert the result from scientific notation to standard form, we move the decimal point 13 places to the right:

Time = 60,230,000,000,000 seconds

Step 5: Convert seconds to a more relatable unit of time:

To convert seconds to a more practical unit of time, we can divide the result by the number of seconds in a minute, hour, or day. Let's convert it into hours:

Time = 60,230,000,000,000 seconds / (60 seconds × 60 minutes)

Time = 16,741,666,666.67 hours

Step 6: Conclusion:

Therefore, it will take approximately 16,741,666,666.67 hours for the man to separate 6.023×10^23 grains, assuming he maintains the same rate of separating 10^10 grains per second.

Please note that the accuracy of this calculation is based on the assumption that the man can maintain a consistent separation rate without any breaks or variations in performance.