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The average atomic mass of an element having two isotopes is 71 if the ratio of natural abundance of two isotopes of mass 70 and 74 will be?
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The average atomic mass of an element having two isotopes is 71 if the...
Explanation:
The average atomic mass of an element with two isotopes can be calculated using the following formula:
average atomic mass = (mass of isotope 1 x % abundance of isotope 1/100) + (mass of isotope 2 x % abundance of isotope 2/100)
We are given that the average atomic mass of the element is 71. Let x be the % abundance of the isotope with mass 70 and (100-x) be the % abundance of the isotope with mass 74.
Using the formula above, we can set up the following equation:
71 = (70x/100) + (74(100-x)/100)
Simplifying the equation, we get:
71 = 70x/100 + 74 - 74x/100
71 = (70 - 74x/100) + 74
71 - 74 = -4x/100
-3/100 = x/25
x = 0.75%
Therefore, the natural abundance ratio of the two isotopes is:
% abundance of isotope with mass 70 : % abundance of isotope with mass 74
0.75 : 99.25 or approximately 1 : 132
Conclusion:
The natural abundance ratio of the two isotopes with mass 70 and 74 is approximately 1 : 132, with the isotope with mass 74 being much more abundant.
The average atomic mass of an element with two isotopes can be calculated using the following formula:
average atomic mass = (mass of isotope 1 x % abundance of isotope 1/100) + (mass of isotope 2 x % abundance of isotope 2/100)
We are given that the average atomic mass of the element is 71. Let x be the % abundance of the isotope with mass 70 and (100-x) be the % abundance of the isotope with mass 74.
Using the formula above, we can set up the following equation:
71 = (70x/100) + (74(100-x)/100)
Simplifying the equation, we get:
71 = 70x/100 + 74 - 74x/100
71 = (70 - 74x/100) + 74
71 - 74 = -4x/100
-3/100 = x/25
x = 0.75%
Therefore, the natural abundance ratio of the two isotopes is:
% abundance of isotope with mass 70 : % abundance of isotope with mass 74
0.75 : 99.25 or approximately 1 : 132
Conclusion:
The natural abundance ratio of the two isotopes with mass 70 and 74 is approximately 1 : 132, with the isotope with mass 74 being much more abundant.
Community Answer
The average atomic mass of an element having two isotopes is 71 if the...
Isotope of mass 70 is 75% and the isotope with mass 74 is 25%.
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The average atomic mass of an element having two isotopes is 71 if the ratio of natural abundance of two isotopes of mass 70 and 74 will be?
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The average atomic mass of an element having two isotopes is 71 if the ratio of natural abundance of two isotopes of mass 70 and 74 will be? 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 The average atomic mass of an element having two isotopes is 71 if the ratio of natural abundance of two isotopes of mass 70 and 74 will be? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average atomic mass of an element having two isotopes is 71 if the ratio of natural abundance of two isotopes of mass 70 and 74 will be?.
The average atomic mass of an element having two isotopes is 71 if the ratio of natural abundance of two isotopes of mass 70 and 74 will be? 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 The average atomic mass of an element having two isotopes is 71 if the ratio of natural abundance of two isotopes of mass 70 and 74 will be? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average atomic mass of an element having two isotopes is 71 if the ratio of natural abundance of two isotopes of mass 70 and 74 will be?.
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