J.R. S. answered 11/06/19
Ph.D. University Professor with 10+ years Tutoring Experience
Going from 2.00 ml to 10.00 mls is a 5-fold dilution, so the final Co(NO3)2 concentration will be 1/5 the original. That would be 1/5 x 0.15 M = 0.03 M
Looking at it another way, and using the often taught V1M1 = V2M2, we have...
(2.00 ml)(0.15 M) = (10.0 ml)(x M)
x = (2)(0.15)/10
x = 0.03 M
Looking at it in yet a 3rd way:
2.00 ml x 1 L/1000 ml x 0.15 mol/L = 0.00030 moles of Co(NO3)2 in the 2.00 ml
Putting this into 10.0 mls (0.01 L) we have 0.0030 moles/0.01 L = 0.03 M