Which of the following sets of quantum numbers describe valid orbitals? check all that apply. n = 1, l = 0, m = 0 n = 2, l = 1, m = 3 n = 2, l = 2, m = 2 n = 3, l = 0, m = 0 n = 5, l = 4, m = –3 n = 4, l = –2, m = 2

The quantum numbers that describe valid orbitals are;

The sets of quantum numbers that can be used to describe an electron are;

The principal quantum number takes on positive integer values from 1 to infinity.

Orbital quantum number takes positive integer values from 0 to (n - 1).

Magnetic quantum number takes on values from -l to +l.

Spin quantum number can only take values of ±1/2.

In view of these, the possible valid orbitals are;

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n2(g) + 3h2-> 2nh3(g)   this is the balanced equation

note the mole ratio between n2, h2 and nh3.   it is 1 : 3 : 2   this will be important.

moles n2 present = 28.0 g n2 x 1 mole n2/28 g = 1 mole n2 present

moles h2 present = 25.0 g h2 x 1 mole h2/2 g = 12.5 moles h2 present

based on mole ratio, n2 is limiting in this situation because there is more than enough h2 but not enough n2.

moles nh3 that can be produced = 1 mole n2 x 2 moles nh3/mole n2 = 2 moles nh3 can be produced

grams of nh3 that can be produced = 2 moles nh3 x 17 g/mole = 34 grams of nh3 can be produced

note:   the key to this problem is recognizing that n2 is limiting, and therefore limits how much nh3 can be produced.