Final answer:
A supercomputer, nicknamed Roadrunner, can count a mole of things in 0.166 seconds and it would take approximately 5.25 × 10^[-9] years to do so.
Step-by-step explanation:
A supercomputer, nicknamed Roadrunner, can perform about 1.03 petaflop/s. To determine how many seconds it would take for Roadrunner to count a mole of things, we first need to convert the number of floating-point operations it can perform in 1 day. It can perform approximately 10^22 floating-point operations in 1 day.
Since 1 mole contains 6.022 × 10^23 particles, we can divide the number of floating-point operations in 1 day by the number of particles in 1 mole to find out how many floating-point operations it would take to count a mole of things. This gives us:
10^22 floating-point operations / (6.022 × 10^23 particles) = 0.166 floating-point operations per particle.
Therefore, it would take Roadrunner approximately 0.166 seconds to count a mole of things.
To convert this figure into years, we can divide the number of seconds by the number of seconds in a year:
0.166 seconds / (365 days * 24 hours * 60 minutes * 60 seconds) = 5.25 × 10^[-9] years.