Which among the following relations is correct?

Options

A. a)`t_(3//4) = 2t_(1//2)`
B. b)`t_(3//4) = 3t_(1//2)`
C. c)`t_(3//4) = 1/2t_(1//2)`
D. d)`t_(3//4) = 1/3t_(1//2)`

Answer

A

Explanation

We know that ` K = (2.303)/(t) log ((N_(0))/(N))`
or `K = (0.693)/(t_(1//2))`
`:. (0.693)/(t_(1//2)) = (2.303)/(t) log (100)/(75)` `[{:(N_(0) = 100),(N = 75):}]`
`(6.693)/(t_(1//2)) = (2.303)/(t_(3//4)) log 1.333`
`(0.693)/(t_(1//2)) = (2.303)/(t_(3//4)) xx 0.125`
or `t_(3//4) = 2t_(1//2)`