If the half-life period of a first order reaction in A is 2 minutes, how long will it take [A] to reach `25%` of its initial concentration ?

If the half-life period of a first order reaction in A is 2 minutes, h

1.	If the half-life period of a first order reaction in A is 2 minutes, how long will it take [A] to reach `25%` of its initial concentration ?
Answer» `t1//2=2min." "rArr" "t1//2=(0.693)/(K)" "rArr" "K=(0.693)/(2)=0.3465"min"^(-1)` For `1^(st)` order reaction : `K=(2.303)/(t)log.(a)/(a-x)" "ararr"initail concentration"` `xrarr"reacted"` `a-xrarr"remaining"` `t=(2.303)/(0.3465)log.(cancel100^(4))/(cancel25_(1))" "rArr" "t=6.646xx2log2=6.46xx2xx0.3010` `t = 4.00"mins".`

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If the half-life period of a first order reaction in A is 2 minutes, how long will it take [A] to reach `25%` of its initial concentration ?

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