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Two isotopes of an element are present in 1:2 ratio of number having mass number M and M 0.5 respectively find the mean mass number of element?
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Two isotopes of an element are present in 1:2 ratio of number having m...
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Two isotopes of an element are present in 1:2 ratio of number having m...
Explanation:
The mean mass number of an element can be calculated by taking the weighted average of the mass numbers of its isotopes.
Steps to Calculate:
1. Determine the mass numbers of the isotopes:
Given that the two isotopes are present in a 1:2 ratio and their mass numbers are M and M 0.5 respectively.
2. Calculate the total number of atoms:
Let the total number of atoms be x.
Then, the number of atoms of the first isotope is x/3 and the number of atoms of the second isotope is 2x/3.
3. Calculate the weighted average:
The mean mass number of the element is given by the formula:
(mean mass number) = [(mass number of isotope 1) x (number of atoms of isotope 1) + (mass number of isotope 2) x (number of atoms of isotope 2)] / (total number of atoms)
Substituting the values, we get:
(mean mass number) = [(M) x (x/3) + (M 0.5) x (2x/3)] / x
Simplifying this expression, we get:
(mean mass number) = [(M + M 0.5) / 2]
Therefore, the mean mass number of the element is the average of the mass numbers of the two isotopes, which is (M + M 0.5) / 2.
Answer:
The mean mass number of the element is (M + M 0.5) / 2.
The mean mass number of an element can be calculated by taking the weighted average of the mass numbers of its isotopes.
Steps to Calculate:
1. Determine the mass numbers of the isotopes:
Given that the two isotopes are present in a 1:2 ratio and their mass numbers are M and M 0.5 respectively.
2. Calculate the total number of atoms:
Let the total number of atoms be x.
Then, the number of atoms of the first isotope is x/3 and the number of atoms of the second isotope is 2x/3.
3. Calculate the weighted average:
The mean mass number of the element is given by the formula:
(mean mass number) = [(mass number of isotope 1) x (number of atoms of isotope 1) + (mass number of isotope 2) x (number of atoms of isotope 2)] / (total number of atoms)
Substituting the values, we get:
(mean mass number) = [(M) x (x/3) + (M 0.5) x (2x/3)] / x
Simplifying this expression, we get:
(mean mass number) = [(M + M 0.5) / 2]
Therefore, the mean mass number of the element is the average of the mass numbers of the two isotopes, which is (M + M 0.5) / 2.
Answer:
The mean mass number of the element is (M + M 0.5) / 2.
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Two isotopes of an element are present in 1:2 ratio of number having mass number M and M 0.5 respectively find the mean mass number of element?
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Two isotopes of an element are present in 1:2 ratio of number having mass number M and M 0.5 respectively find the mean mass number of element? 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 Two isotopes of an element are present in 1:2 ratio of number having mass number M and M 0.5 respectively find the mean mass number of element? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two isotopes of an element are present in 1:2 ratio of number having mass number M and M 0.5 respectively find the mean mass number of element?.
Two isotopes of an element are present in 1:2 ratio of number having mass number M and M 0.5 respectively find the mean mass number of element? 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 Two isotopes of an element are present in 1:2 ratio of number having mass number M and M 0.5 respectively find the mean mass number of element? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two isotopes of an element are present in 1:2 ratio of number having mass number M and M 0.5 respectively find the mean mass number of element?.
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