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## Homework Statement

The current limit on the proton’s lifetime is determined by observing a large body of water for a long time and noticing that no one of the hydrogen nuclei in H

_{2}O have decayed. Assuming that the experiment making this measurement has been going on for 10 years, how many tons of water are needed to set the constraint on the lifetime of the proton τ > 10

^{34}years?

## Homework Equations

N = N

_{0}e

^{-t/τ}

## The Attempt at a Solution

For this I would think we would use this equation to then find the amount of protons needed to make -t/τ = -(10)/(10

^{34}and then from that figure out the number of protons in H

_{2}O and then figure out how many molecules then multiply by the molecular weight. Am I on the right track?