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How many protons neutrons and electrons are in the isotope 52Mn?
Wiki User
∙ 8y ago
The symbol Mn indicates a manganese atom, which always has 25 protons. The electroneutrality required for any atom requires the presence of 25 electrons to balance the electrical charge of the 25 protons. The mass number, 52 in this instances, is the sum of the numbers of protons and neutrons. Therefore, the number of neutrons in the isotope is 52 - 25 or 27.
Wiki User
∙ 8y ago
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How many neutrons are in the nucleus of an atom with an atomic number of 25?
The number of neutrons in the nucleus of an atom varies for each isotope of the element. Atomic number 25 means the atom contains 25 Protons, and it is the element Manganese (Mn). Manganese has 4 isotopes 52Mn, 53Mn, 54Mn & 55Mn. Take the number of protons (always 25 with Mn) from the isotope number and you will have the number of Neutrons in the nucleus. eg 55Mn will have 30 Neutrons.
How many protons are in manganese?
Many atoms have many different isotopes, and each isotope has a different number of neutrons. Mn only has 1 stable isotope, which is 55 atomic mass. It is atomic number 25 and thus has 30 neutrons.
What are consecutive odd numbers have a sum of 75?
There are quite a few possible sets of consecutive odd numbers that sum to 75:with 1 member: {75}with 3 members: {23, 25, 27}with 5 members: {11. 13, 15, 17, 19}with 15 members: {-9, -7, -5, -3, -1, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19}with 25 members: {-21, -19, -17, -15, -13, -11, -9, -7, -5, -3, -1, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27}with 75 members: {-73, -71, -69, ..., 71, 73, 75}How this was solved.Let the first odd number be 2n + 1 where n is an integer ≥ 0.Then a set of m odd integers has members 2n + 1, 2n + 3, ...., 2n + (2m - 1).This has a sum of (2n + 2n + ... + 2n) + (1 + 3 + ... + (2m - 1)) where there are m terms in each half= 2mn + m²So we need a set of m consecutive odd integers with a sum of 75.m cannot be even as the sum of an even number of odd integers is even; so plug in m = 1, 3, 5, ... and see what value this gives for n, and hence the set:m = 12mn + m² = 2n + 1 = 75 → n = 37→ the set contains {75}m = 32mn + m² = 6n + 9 = 75 → n = 11→ the set contains {23, 25, 27}m = 52mn + m² = 10n + 25 = 75 → n = 5→ the set contains {11, 13, 15, 17, 19}m = 72mn + m² = 14n + 49 = 75 → n = 13/7 which is not an integer→ there is no set of odd consecutive integers with a sum of 75 that has 7 members.m = 92mn + m² = 18n + 81 = 75 → n = -1/3 which is not an integer nor is it greater than, or equal to 0→ there is no set of odd consecutive integers with a sum of 75 that has 9 members.And so on...If you notice, the last three sets are the same as the first three sets but with the inclusion of all positive and odd numbers with an absolute value less than the first member of the corresponding set.
