How many years would it take to count a mole of rice grains if it takes 88 seconds to count 100 rice grains?
Answer (2)
One mole of a substance is approximately 6.02 * 10^23 molecules. Imagine each grain is a molecule - you are counting 100 per 88 seconds, hence 1 per 0.88s. To find the time, multiply (6.02 * 10^23) by 0.88, gaining a time of (5.2976 * 10^23)s. Divide by 3600 to gain the number of hours, then by 24 to get the days, then finally by 365.25 to get the years - the answer is (1.7 * 10^16) years, or 17000000000000000 years
It would take approximately 1.67 × 10¹⁶ years to count a mole of rice grains, given the rate of 100 grains every 88 seconds. This involves calculating the total time based on counting one grain and converting that total time into years. A mole represents about 6.02 × 10²³ grains, which is an incredibly large number.
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