Question

The conceptual model for decay of Pu-241 to Am-241 to Np-237 is illustrated below. Nh Nh N 2 , In this notation, Ni, N2, and

dN; dt (b) Solve these differential equations in terms of the number of atoms of Pu-241, Am-241, and Np-237 at time t. You ma

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- N, ? No 2 x Ng A3 dNI - 2 N der -D, NA Na - 21 No - 1, Ng dt dNz - 20 Ng - 13 Ng

b) At t=0 Ni = No N₂ = N₂t N3 = Nyt - -2,N, Integrating both side from teo to tzt , we get . ln Ni lah anh t I ten » In Net /

Page dN الحرية - عيد ولاية = ناعمه ت د Solving this first order differential equation for Ny yields : + ( ع - eh) = ولا

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