Dear Student,
If 1/6 is used in place of 1/12 mass of Carbon then the mass of 1 mol of substance will remain unaltered.
Since 1 mole = NA
when we use 1/6 th in place of 1/12 then 1 a.m.u=2 a.m,u
now the new Avogadro number NA becomes since the atomic mass corresponding to it becomes 6 gm.
so 1 mole =
Hence the mass remains unchanged.
Regards!