Final answer:
The orbitals correspond to each of the following designations are
(a) 3p has three p-orbitals (3px,3py, 3pz)
(b) 4p has three p-orbitals (4px,4py, 4pz)
(c) 4px has one p-orbital.
(d) 6d has five d-orbitals.
(e) 5d has five d-orbitals.
(f) 5f has seven f-orbitals.
(g) n=5: has 25 orbitals.
(h) 7s has one s-orbitals.
Step-by-step explanation:
The question 'How many orbitals correspond to each of the following designations?' pertains to the electron configuration in atomic orbitals. The designations (s, p, d, f) inform us about the shape and the number of orbitals within a given principal quantum number (n).
For the designations you're asking about:
- (a) 3p has three p-orbitals (3px, 3py, 3pz).
- (b) 4p has three p-orbitals (4px, 4py, 4pz), identical to 3p.
- (c) 4px implies a single p-orbital, specifically one of the three p-orbitals at the 4th energy level.
- (d) 6d has five d-orbitals.
- (e) 5d has five d-orbitals, similar to 6d.
- (f) 5f has seven f-orbitals.
- (g) For n = 5, one can have subshells 5s, 5p, 5d, 5f, and even 5g, with each having 1, 3, 5, 7, and 9 orbitals respectively. Summing these gives us a total of 25 orbitals.
- (h) 7s corresponds to one s-orbital.
Your question is incomplete, but most probably your full question was
How many orbitals correspond to each of the following designations?
(a) 3p;
(b) 4p;
(c) 4p ;
(d) 6d;
(e) 5d;
(f) 5f;
(g) n = 5;
(h) 7s.