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In the HCL molecule the separation between the nuclei of the two atoms is about 1.27Angstroms.Find the approximate location of the CM of the m molecule, given that a chlorine atoms about 35.5 times as hydrogen atom and nearly all the mass of an atom is concentrated in nucleus Ans:1.24 Angstrom?
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In the HCL molecule the separation between the nuclei of the two atoms...
Let x-axis be along the distance between the two atoms, and hydrogen atom be at the origin.
Then,

Hence the center of mass is 1.235 A from the hydrogen atom along the line joining the two atoms.
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In the HCL molecule the separation between the nuclei of the two atoms...
Calculation of the Center of Mass in HCl Molecule

The center of mass (CM) of a molecule is the point at which the molecule can be balanced. To find the approximate location of the CM of the HCl molecule, we need to consider the masses and positions of the hydrogen and chlorine atoms.

Given:
- Separation between the nuclei of the two atoms, d = 1.27 Å (angstroms)
- Chlorine atom is about 35.5 times as heavy as the hydrogen atom
- Nearly all the mass of an atom is concentrated in its nucleus

Step 1: Determine the Mass Ratio

Since the chlorine atom is 35.5 times as heavy as the hydrogen atom, the mass ratio can be expressed as:
Mass of Cl / Mass of H = 35.5

Step 2: Calculate the Mass Center of Each Atom

The mass center of each atom can be determined using the following equation:
Mass Center = (Mass of Atom) * (Position of Atom)

In this case, the position of the hydrogen atom is at a distance of d/2 from the center of mass, and the position of the chlorine atom is at a distance of -d/2 from the center of mass. Since the mass of an atom is concentrated in its nucleus, we can assume the mass center of each atom to be at the position of its nucleus.

Step 3: Calculate the Center of Mass of the Molecule

The center of mass of the molecule can be calculated using the following equation:
CM = (Mass Center of H + Mass Center of Cl) / (Total Mass of Molecule)

The total mass of the molecule can be expressed as:
Total Mass of Molecule = Mass of H + Mass of Cl

Step 4: Substitute the Given Values and Calculate

Substituting the given values into the equations, we can calculate the approximate location of the CM of the HCl molecule.

Final Result:
The approximate location of the CM of the HCl molecule is 1.24 Å (angstroms).
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In the HCL molecule the separation between the nuclei of the two atoms is about 1.27Angstroms.Find the approximate location of the CM of the m molecule, given that a chlorine atoms about 35.5 times as hydrogen atom and nearly all the mass of an atom is concentrated in nucleus Ans:1.24 Angstrom?
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In the HCL molecule the separation between the nuclei of the two atoms is about 1.27Angstroms.Find the approximate location of the CM of the m molecule, given that a chlorine atoms about 35.5 times as hydrogen atom and nearly all the mass of an atom is concentrated in nucleus Ans:1.24 Angstrom? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about In the HCL molecule the separation between the nuclei of the two atoms is about 1.27Angstroms.Find the approximate location of the CM of the m molecule, given that a chlorine atoms about 35.5 times as hydrogen atom and nearly all the mass of an atom is concentrated in nucleus Ans:1.24 Angstrom? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the HCL molecule the separation between the nuclei of the two atoms is about 1.27Angstroms.Find the approximate location of the CM of the m molecule, given that a chlorine atoms about 35.5 times as hydrogen atom and nearly all the mass of an atom is concentrated in nucleus Ans:1.24 Angstrom?.
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