J.R. S. answered 04/16/20
Ph.D. University Professor with 10+ years Tutoring Experience
First, we need to know the standard reduction potentials for both Zn and Ni. Or you could look at the activity series of metals to see if Zn is more or less active than Ni.
Looking at the activity series of metals, we find Zn > Ni, so Zn will replace/displace Ni
Zn(s) + Ni(NO3)2 ==> Zn(NO3)2 + Ni(s)
Ni(s) + Zn(NO3)2 ==> NO REACTION
If you look at a table of standard reduction potentials, you find...
Zn2+ + 2e- ==> Zn(s) Eº = -0.76 V
Ni2+ + 2e- ==> Ni(s) Eº = - 0.25 V
This tells us that Ni2+ is easier to reduce/more difficult to oxidize and so is less reactive