Please show each step of your solution!

1. Spherical sample is made of U (Pu = 19 [cm] with R = 1.3[cm] was annealed in vacuum at a constant temperature for 1000 sec. In the sample there is an initial concentration of hydrogen C; = 4x10-4%wt (Pu2 = 8.992x10-5 (com). The diffusion coefficient of hydrogen in U at the annealing temperature is D = Assume that the concentration on the sphere surface is zero. a) Find an expression for the emitted hydrogen as a function of the r (distance from the center) and t. b) Find the volume of the emitted hydrogen. For that use the first three terms of the series (how can you justify that assumption?) The general solution for the diffusion equation in spherical coordinates: 5x10-5 cm sec C(1,1)= A'+ 4, +Asin(Ar+ B sin( _r + cos(2")]e_2.0 r 1 1. Spherical sample is made of U (Pu = 19 [cm] with R = 1.3[cm] was annealed in vacuum at a constant temperature for 1000 sec. In the sample there is an initial concentration of hydrogen C; = 4x10-4%wt (Pu2 = 8.992x10-5 (com). The diffusion coefficient of hydrogen in U at the annealing temperature is D = Assume that the concentration on the sphere surface is zero. a) Find an expression for the emitted hydrogen as a function of the r (distance from the center) and t. b) Find the volume of the emitted hydrogen. For that use the first three terms of the series (how can you justify that assumption?) The general solution for the diffusion equation in spherical coordinates: 5x10-5 cm sec C(1,1)= A'+ 4, +Asin(Ar+ B sin( _r + cos(2")]e_2.0 r 1