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which element remains

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Hi Richard;
If two protons and two neutrons are removed from the
nucleus of an oxygen-16 atom, a nucleus of which element
Oxygen is element number 8 on the Periodic Table of the Elements.  This means it has 8 protons in its nucleus.  Oxygen-16 has 8 protons and 8 neutrons.  Neutrons is an issue of weight only.  It has nothing to do with the classification.  After this atom has lost two protons, it is Carbon.  Furthermore...
(16 amu)-[(2 protons)+(2 neutrons)=12
amu is Atomis Mass Units.
It is Carbon-12.
An element is determined by the number of protons it has in its nucleus. Oxygen has 8 protons so when you remove two protons you have a element with 6 protons. Look on your periodic table for an element with 6 protons. The 16 in oxygen-16 is the atomic number and denotes the total number of protons and neutrons in the element. So when you remove 2 protons and 2 neutrons you reduce the atomic number by 4. so your new element would have the atomic number of 12.