The half life of radium is 1620 years and its | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(a) $\frac{{dN}}{{dt}} = \lambda N;$

$\lambda  = \frac{{0.6931}}{{{t_{12}}}} = \frac{{0.6931}}{{1620 	imes 365 	imes 24 	imes 60 	imes 60}

Vedclass · Accepted Answer

$3.61 	imes {10^{10}}$

Vedclass · Answer

(a) $\frac{{dN}}{{dt}} = \lambda N;$

$\lambda  = \frac{{0.6931}}{{{t_{12}}}} = \frac{{0.6931}}{{1620 	imes 365 	imes 24 	imes 60 	imes 60}}$

$N = \frac{{6.023 	imes {{10}^{23}}}}{{226}}$

$	herefore \frac{{dN}}{{dt}} = \frac{{0.6931 	imes 6.023 	imes {{10}^{23}}}}{{1620 	imes 365 	imes 24 	imes 60 	imes 60 	imes 226}} = 3.61 	imes 10^{10}$

The half life of radium is $1620$ years and its atomic weight is $226\, k\,gm$ per kilomol. The number of atoms that will decay from its $1\, gm$ sample per second will be

(Avogadro's number $N = 6.02 \times {10^{26}}$atom/kilomol)

Similar Questions

At a given instant there are $25\%$ undecayed radioactive nuclei in a same. After $10 \,sec$ the number of undecayed nuclei reduces to $6.25\%$, the mean life of the nuclei is...........$ sec$

The $S.I.$ unit of radioactivity is

Half life of radium is $1620$ years. How many radium nuclei decay in $5$ hours in $5\, gm$ radium? ( Atomic weight of radium $= 223$)

A radioactive element $ThA (_{84}Po^{216})$ can undergo $\alpha$ and $\beta$ are type of disintegrations with half-lives, $T_1$ and $T_2$ respectively. Then the half-life of ThA is