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An atomic nucleus is composed of positively charged protons and uncharged neutrons. If the sum of the masses of all protons and all neutrons is added together, the sum does not equal the mass of the atomic nucleus. This is where the term "mass defect" comes in. In this series, we will learn how to calculate the mass defect.

Calculate the mass defect of titanium if the mass of the titanium atom's nucleus is 47.90 amu.

#NuclearPhysics
#Radioactivity

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Transcript
00:00Calculate the mass defect of titanium if the mass of the nucleus of a titanium atom is 47.90 atomic mass units.
00:12Ok, here's the nucleus of atom X.
00:17The nucleus of an atom is composed of a number of positively charged protons, and the remainder are uncharged neutrons.
00:27Now, Z, the atomic number, indicates the number of protons.
00:36Meanwhile, A, the mass number, indicates the number of protons and neutrons.
00:43Thus, this atomic nucleus is composed of Z units of protons and a minus Z units of neutrons.
00:53If protons are weighed, their mass is MP.
00:58Neutrons, their mass is MN.
01:03And the atomic nucleus, their mass is M atom.
01:09Mathematically, the sum of all protons and all neutrons equals the mass of the nucleus.
01:17However, in reality, this is not the case.
01:22From measurements, the mass of an atomic nucleus is always less than the sum of the masses of the nucleons in the nucleus.
01:32This mass reduction is called the mass defect.
01:36So, delta M equals C times MP, plus a minus C times MN, minus M atom.
01:46The first step is identification.
01:49The mass of a proton, MP is equal to 1.00728 atomic mass units.
01:59The mass of a neutron, MN is equal to 1.00867 atomic mass units.
02:08The mass of the nucleus of a titanium atom, M atom is equal to 47.90 atomic mass units.
02:18The atomic number of titanium, Z, is 22.
02:25The mass number of titanium, A, is 48.
02:30Now, we can calculate the mass defect using the previous equation, delta M equals C times MP, plus a minus C times MN, minus M atom.
02:45Plugging in all the known values.
02:52Simplifying the calculation to 48.38558 minus 47.90.
03:01The result is 0.4855 atomic mass units.
03:07This is the mass defect of a titanium atom.
03:13I hope this is helpful.
03:15And, don't forget to watch the next video.
03:20We'll movie it on in the future.
03:23It's a repeat of the tutorial.
03:25I'll read back to another video.
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03:29We'll see how the clicking palace is at剛 to 2 and 1.006 meter each.
03:31We're all in the slices of black produto seg sollten осnazie dacour.
03:32We have got, so, we're all in the lumps that go.
03:33We have happened in the depths.
03:34We want the regrets of that, and I'll show you why.
03:36We have hope to reflect a ton of titanium emphasis.
03:38Let's read it.
03:39We have doubts about it here.
03:41We can learn theämäss Ka-Tausch icono and missionaries.
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