Radium has atomic weight 226 and half life of 1600 years. The number of disintegrations produced per second from one gram is

Options

A. `3.7xx10^(10)`
B. `9.2xx10^(6)`
C. `3.7xx10^(9)`
D. `3.7 xx 10^(8)`

Answer

A

Explanation

`K=(Numbe rof d i s i nt e g rations per se c o nd)/(To tal n umber of at oms is on e gram of Ra)`
`K=(0.693)/(t_(1//2))`
or `K=(0.693)/(1600xx365xx24xx60xx60)`
`:. ` Number of disintegration per second
`=(0.693xx6.023xx10^(23))/(1600xx365xx24xx60xx60xx226)`
`=3.7xx10^(10)`