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Radium has atomic weight 226 and half li...

Radium has atomic weight 226 and half life of 1600 years. The number of disintegrationsd produced per second from one gram is
a. `4.8 xx 10^(10)` b. `3.7 xx 10^(20)`
c. `9.2 xx 10^(6)` d. `3.7 xx 10^(8)`

A

a. `4.8 xx 10^(10)`

B

b. `3.7 xx 10^(20)`

C

c. `9.2 xx 10^(6)`

D

d. `3.7 xx 10^(8)`

Text Solution

Verified by Experts

The correct Answer is:
b. `3.7 xx 10^(20)`
Rate `((-del N)/(del t))d = KN` (Number of atoms of element undergoing decay)
`= (- del N)/(del t) = (0.693)/(t_(1//2)) xx ("Mass")/("Atomic mass") xx` Avogadro's number
`= (0.693)/(1600) xx (1)/(226) xx 6.023 xx 10^(23)`
`(-del N)/(del t) = 3.7 xx 10^(20)`
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