Question #55005

Calculate the number of disintegrations per second that occur in 100 g of radium given that the decay constant is 1.36 x 10−11 radium?

Expert's answer

Answer on Question #55005 – Chemistry – Other

Question:

Calculate the number of disintegrations per second that occur in 100g100\,\mathrm{g} of radium given that the decay constant is 1.36×10111.36 \times 10^{-11} radium?


dN=N0×t×λdN = -N_0 \times t \times \lambda

dNdN – number of disintegrations per period of time

N0N_0 – total number of particles in the sample

tt – period of time

λ\lambda – the decay constant


N0=100×6.022×1023226N_0 = \frac{100 \times 6.022 \times 10^{23}}{226}dN=2.66×1023×1×1.36×1011dN = 2.66 \times 10^{23} \times 1 \times 1.36 \times 10^{-11}dN=3.617×1012dN = 3.617 \times 10^{12}


Answer: 3.617×10123.617 \times 10^{12} Bq

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