Question

The half life of radium-226 is 1600 years.

Answer 1

Answer:

Explanation:

a )

half life = 1600 years

50% in 1600 years

25% in next 1600 years

so 25% in total of 3200 years .

b )

disintegration constant = .693 / half life

= .693 / 1600

λ= 4.33 x 10⁻⁴ year⁻¹

m(t) = $m_0e^{-\lambda t }$

m₀ is initial mass , λ =  4.33 x 10⁻⁴ year⁻¹

c )

m(t) after 3000 years , t = 3000

m(t) = $m_0e^{-4.33\times10^{-4 }\times 3000 }$

= $m_0e^{-1.3}$

= .2725 m₀

percentage of mass remaining = 27.25 %