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A first order reaction with respect to r...

A first order reaction with respect to reactant A has a rate constant 6.5 `min^(-1)`. If we start with 2.0 mol `L^(-1)` of A when would A reach the value 0.5 mol `L^(-1)`

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For first order reaction , `k = (2.303)/(t) log""([A]_(0))/([A])` or, `t = (2.303)/(k) log""([A]_(0))/([A])`
Here, `k = 6.5 "min"^(-1), [A]_(0) = 2.0 mol L^(-1)` and `[A] = 0.5 mol L^(-1)`
`t = (2.303)/(6.5 "min"^(-1)) log""(2.0 mol L^(-1))/(0.5 mol L^(-1)) = (2.303)/(6.5 "min"^(-1))log 4`
`= (2.303)/(6.5) xx 0.6020 = 0.213 "min"`
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