Question

clue
this element has 9 more electrons than technetium (tc)
this element has an atomic number of 81.
this element has 3 fewer protons than oganesson (og).
this element has 2 more protons than bismuth (bi).
this element has an atomic number of 84.
this element has 113 electrons surrounding its nucleus
this element has one more proton than gallium (ga).
this element has 5 more protons than oxygen (o).
this element has two more protons than copper (cu).
this element is directly below the element whose atomic number is 37.
this element is found directly above the element whose atomic number is 14.
this element has 82 electrons in its nucleus.
this element is a noble gas with 86 protons in its nucleus.
this element has an atomic number of 50.

Explanation:

Step1: Recall atomic - number basics

In a neutral atom, the number of electrons = number of protons = atomic number.

Step2: Analyze each clue

Clue 1: This element has an atomic number of 81.

The element with atomic number 81 is Thallium (Tl).

Clue 2: Oganesson (Og) has an atomic number of 118. An element with 3 fewer protons than Og has atomic number \(118 - 3=115\), which is Moscovium (Mc).

Clue 3: Bismuth (Bi) has an atomic number of 83. An element with 2 more protons than Bi has atomic number \(83 + 2 = 85\), which is Astatine (At).

Clue 4: This element has an atomic number of 84, which is Polonium (Po).

Clue 5: Gallium (Ga) has an atomic number of 31. An element with one - more proton than Ga has atomic number \(31+1 = 32\), which is Germanium (Ge).

Clue 6: Oxygen (O) has an atomic number of 8. An element with 5 more protons than O has atomic number \(8 + 5=13\), which is Aluminum (Al).

Clue 7: Copper (Cu) has an atomic number of 29. An element with 2 more protons than Cu has atomic number \(29+2 = 31\), which is Gallium (Ga).

Clue 8: The element with atomic number 37 is Rubidium (Rb). The element directly below it in the periodic table has atomic number \(37 + 18=55\), which is Cesium (Cs).

Clue 9: The element with atomic number 14 is Silicon (Si). The element directly above it has atomic number \(14 - 8 = 6\), which is Carbon (C).

Clue 10: If an element has 82 electrons (in a neutral atom, number of electrons = atomic number), the element is Lead (Pb).

Clue 11: A noble gas with 86 protons (atomic number = 86) is Radon (Rn).

Clue 12: The element with atomic number 50 is Tin (Sn).

Answer:

Tl, Mc, At, Po, Ge, Al, Ga, Cs, C, Pb, Rn, Sn