How many times longer than the mean life of an extremely unstable atomic nucleus is the lifetime of a human? (Hint: The lifetime of an unstable atomic nucleus is on the order of 10−22 s10−22 s .)
Question
How many times longer than the mean life of an extremely unstable atomic nucleus is the lifetime of a human? (Hint: The lifetime of an unstable atomic nucleus is on the order of 10−22 s10−22 s .)
Solution
Step 1: Identify the given values
The mean life of an extremely unstable atomic nucleus is given as 10^-22 seconds.
Step 2: Identify the values to compare
The average human lifespan is not given, but for the purpose of this calculation, we can use an estimate. According to the World Health Organization, the global average life expectancy is about 72 years.
Step 3: Convert the human lifespan into seconds
There are approximately 31,536,000 seconds in a year (60 seconds/minute * 60 minutes/hour * 24 hours/day * 365 days/year). So, the average human lifespan in seconds is approximately 72 years * 31,536,000 seconds/year = 2.27 * 10^9 seconds.
Step 4: Compare the two values
To find out how many times longer the human lifespan is than the mean life of an unstable atomic nucleus, divide the human lifespan in seconds by the mean life of an unstable atomic nucleus in seconds.
So, (2.27 * 10^9 seconds) / (10^-22 seconds) = 2.27 * 10^31.
Therefore, the lifetime of a human is approximately 2.27 * 10^31 times longer than the mean life of an extremely unstable atomic nucleus.
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