1.

The half life of radium (226) is 1620 years. The time takend to convert `10 g` of radium to `1.25 g` is a. 810 years b. 1620 years c. 3240 years d. 4860 yearsA. a. 810 yearsB. b. 1620 yearsC. c. 3240 yearsD. d. 4860 years

Answer» Correct Answer - d. 4860 years
`t_(1//2) = 1620` years
`N_(0) = 1.25 g`
We know `K = (2.303)/(t) log (N_(0))/(N)`
`implies (0.693)/(t_(1//2)) = (2.303)/(t) log (10)/(1.25)`
`:.t = (2.303 xx 1620)/(0.693) log (10)/(log (10)/(1.25)) = (0.3)/(log 8) = (0.3)/(3 xx 0.3)`
`:. t_(x%) = t_(1//2) xx 3 = 1620 xx 3 = 4860` years


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