Question

fill in the isotope names and any missing information, including isotope numbers from the chart. use your periodic table and the information provided.

	mn	mn		ge	ge
# of neutrons	17	15	# of neutrons	30	32
# of electrons	25	25	# of electrons	32	32

# of protons				# of protons
# of neutrons				# of neutrons	113	111
# of electrons		51	46	# of electrons	55

	iron-	iron-		iodine-	iodine-
# of protons				# of protons
# of neutrons	27	30		# of neutrons	32	35
# of electrons				# of electrons

	germanium-	germanium-			-10	-12
# of protons				# of protons
# of neutrons	33	36		# of neutrons		6
# of electrons				# of electrons

# of protons	-22	-25		# of protons	-54	-56
# of neutrons				# of neutrons	24
# of electrons		11		# of electrons

Explanation:

Step1: Recall atomic - related rules

For a neutral atom, the number of protons = number of electrons. The mass number of an isotope is the sum of protons and neutrons. The element is determined by the number of protons.

Step2: Analyze Mn isotopes

• For Mn, atomic number (number of protons) = 25. For the first Mn isotope with 17 neutrons, mass number = 25 + 17=42, and it is Mn - 42. For the second Mn isotope with 15 neutrons, mass number = 25+15 = 40, and it is Mn - 40.

Step3: Analyze Ge isotopes

• Ge has atomic number 32. For the first Ge isotope with 30 neutrons, mass number = 32 + 30=62, and it is Ge - 62. For the second Ge isotope with 32 neutrons, mass number = 32+32 = 64, and it is Ge - 64.

Step4: Analyze the third - row unknown

• Since number of electrons = 46 and for a neutral atom number of protons = number of electrons, number of protons = 46. The element is Pd (palladium). Number of neutrons = 51, mass number = 46 + 51=97, and it is Pd - 97.

Step5: Analyze the fourth - row unknown

• Number of electrons = 55, so number of protons = 55. The element is Cs (cesium). For the first Cs isotope with 113 neutrons, mass number = 55+113 = 168, and it is Cs - 168. For the second Cs isotope with 111 neutrons, mass number = 55+111 = 166, and it is Cs - 166.

Step6: Analyze Fe isotopes

• Fe has atomic number 26. For the first Fe isotope with 27 neutrons, mass number = 26+27 = 53, and it is Fe - 53. For the second Fe isotope with 30 neutrons, mass number = 26+30 = 56, and it is Fe - 56.

Step7: Analyze I isotopes

• I has atomic number 53. For the first I isotope with 32 neutrons, mass number = 53+32 = 85, and it is I - 85. For the second I isotope with 35 neutrons, mass number = 53+35 = 88, and it is I - 88.

Step8: Analyze Ge isotopes (second set)

• Ge has atomic number 32. For the first Ge isotope with 33 neutrons, mass number = 32+33 = 65, and it is Ge - 65. For the second Ge isotope with 36 neutrons, mass number = 32+36 = 68, and it is Ge - 68.

Step9: Analyze the negative - proton cases (not valid in nature)

Protons cannot have a negative number in nature, so these cases are incorrect assumptions. But if we consider them just from a numerical - calculation perspective:

• For the first negative - proton case with - 10 protons and 6 neutrons, mass number=-10 + 6=-4 (not possible in real - world atoms).
• For the second negative - proton case with - 12 protons and 6 neutrons, mass number=-12 + 6=-6 (not possible in real - world atoms).
• For the case with - 22 protons and 11 electrons (not possible as protons cannot be negative), if we assume some non - standard scenario, the "atom" would be highly unstable.
• For the case with - 25 protons, similar non - physical situation.
• For the case with - 54 protons and 24 neutrons, mass number=-54 + 24=-30 (not possible in real atoms).
• For the case with - 56 protons, also non - physical.

Answer:

	Mn - 42	Mn - 40	Ge - 62	Ge - 64	Pd - 97	Cs - 168	Cs - 166	Fe - 53	Fe - 56	I - 85	I - 88	Ge - 65	Ge - 68	Incorrect	Incorrect	Incorrect	Incorrect	Incorrect
# of neutrons	17	15	30	32	51	113	111	27	30	32	35	33	36	6	6	N/A	N/A	24
# of electrons	25	25	32	32	46	55	55	26	26	53	53	32	32	N/A	N/A	11	N/A	N/A

(Note: The cases with negative numbers of protons are non - physical in the context of real atoms and are just shown for the sake of completing the table based on the given numbers)