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A first order reaction has a rate consta...

A first order reaction has a rate constant vlaue `10 ^(-3)s ^(-1)`. How much time will it take for 10 g of the reactant of reduce to `2. 5 g.`

Text Solution

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Rate constant, `k=10^(-2) sec^(-1)`
Initial reactant conc. `[A]_0 = 10 g`
Final reactant conc. `[A]_t = 2.5 g `
Time required, `t = ?`
For a first-order reaction.
`t = 2.303 xx 10^(2) "log " 4 s= 230.3 xx 0.6020 s = 138.6 s. `
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