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A drop of solution (volume 0.05 mL) cont...

A drop of solution (volume `0.05 mL`) contains `3 xx 10^(-6) "mole" H^(o+)` ions. If the rate constant of disappearance of `H^(o+)` ions is `1 xx 10^(7) mol L^(-1) s^(-1)`, how long would it take for `H^(o+)` ions in the drop of disappear?

Text Solution

Verified by Experts

As the units of rate constant are `"mol L"^(-1)s^(-1)`, this means disappearance of `H^(+)` ions is a reaction of zero order. For `100%` reaction to complete (i.e., complete disappearance of `H^(+)` ions)
`t_(100%)=([A]_(0))/(k)=([H^(+)])/(k)`
0.05 mL of the drop contains `H^(+)` ions `=3.0xx10^(-6)` mole
`:.100" mL of the solution will contain "[H^(+)]=(3.0xx10^(-6))/(0.05)xx1000=6xx10^(-2)`
i.e., `[H^(+)]=6xx10^(-2)" M"`
`:.t_(100%)=(6xx10^(-2))/(1xx10^(7))=6xx10^(-9)s`
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