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Question: If the table of atomic masses were established with the oxygen atom and assigned value of 100, the m...

If the table of atomic masses were established with the oxygen atom and assigned value of 100, the mass of carbon atom would be, approximately:
A.2424
B.7575
C.5050
D.112112

Explanation

Solution

To solve the above numerical we should use the current system of atomic masses. We should be able to know the current mass of a given atom, so that we can use them to solve the given numerical and find correct values.
Formula Used:
current atomic mass of first elementThe Current Atomic Mass Of Second Element=New Atomic Mass Of First ElementNew Atomic Mass Of Second Element\dfrac{\text{current atomic mass of first element}}{\text{The Current Atomic Mass Of Second Element}} = \dfrac{\text{New Atomic Mass Of First Element}}{\text{New Atomic Mass Of Second Element}}

Complete step by step answer:
To solve the above numerical we should find out the atoms it is saying about.
If we say here two atoms that are Oxygen and Carbon atoms are mentioned.
The current atomic mass of oxygen is = 1616 and for carbon is = 1212
Now it’s (question) saying that atomic mass of oxygen is changed or assigned as 100100.
To find carbon approximate atomic mass the following equation needs to be solved.
That is:
current atomic mass of first elementThe Current Atomic Mass Of Second Element=New Atomic Mass Of First ElementNew Atomic Mass Of Second Element\dfrac{\text{current atomic mass of first element}}{\text{The Current Atomic Mass Of Second Element}} = \dfrac{\text{New Atomic Mass Of First Element}}{\text{New Atomic Mass Of Second Element}}
1216=\dfrac{{12}}{{16}} = New Atomic Mass Carbon100\dfrac{\text{New Atomic Mass Carbon}}{{100}}
12×10016=12 \times \dfrac{{100}}{{16}} = New atomic mass of carbon
New atomic mass of carbon= 7575.
So, the correct option is B that is 7575.

Additional Information:
Atomic mass also refers to atomic weight which is average of all isotopes (it is one of two or more species of atoms of that chemical element which has different atomic mass) of that particular element, in which mass of every isotope is multiplied by abundance of that isotope.
To calculate the atomic mass, the sum of the number of protons and neutrons is taken which are present in the nucleus. The unit of atomic mass is amuamu(Daltons). For example:
Carbon has 1212 amuamu atomic mass whereas Hydrogen has one amuamu atomic mass.
Oxygen is a chemical element with atomic number of 88. It is highly reactive non-metal and also an oxidizing agent. It belongs to period 22 and p-block. It is from a group of chalcogens (group 1616).
Carbon is a chemical element with atomic number of 66 .It is non-metallic and tetravalent (means 44 electrons are free to form covalent bonds). It belongs to period 22 and p-block. It is from a group of carbon (group 1414).

Note:
Remember the key point to solve a numerical for atomic masses is know the atomic mass of the given elements. Basic elements whose atomic mass we should always remember are
Carbon (12)\left( {12} \right)
Oxygen (16)\left( {16} \right)
Hydrogen(1)\left( 1 \right)
Nitrogen (14)\left( {14} \right)
Chlorine(35.5)\left( {35.5} \right)