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A sample of carbon that contains 95% by mole carbon-12 and 5% by mole carbon-14 isotopes .The average atomic mass is a)12.5 b)12.1 c)6.05 d)6.1?
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A sample of carbon that contains 95% by mole carbon-12 and 5% by mole ...
Answer:
Given: A sample of carbon that contains 95% by mole carbon-12 and 5% by mole carbon-14 isotopes.
To find: The average atomic mass of the sample.
Solution:
Step 1: Find the atomic mass of carbon-12 and carbon-14.
- The atomic mass of carbon-12 is 12 u.
- The atomic mass of carbon-14 is 14 u.
Step 2: Calculate the weighted average atomic mass of the sample.
- The weighted average atomic mass is the sum of the products of the atomic masses and their mole fractions.
- Let x be the mole fraction of carbon-12 and y be the mole fraction of carbon-14.
- x + y = 1 (since the sample contains only these two isotopes)
- x = 0.95 and y = 0.05 (given)
- The weighted average atomic mass = (x * 12 u) + (y * 14 u)
= (0.95 * 12 u) + (0.05 * 14 u)
= 11.4 u + 0.7 u
= 12.1 u
Answer: The average atomic mass of the sample is 12.1 u.
Therefore, the correct option is (d) 6.1.
Given: A sample of carbon that contains 95% by mole carbon-12 and 5% by mole carbon-14 isotopes.
To find: The average atomic mass of the sample.
Solution:
Step 1: Find the atomic mass of carbon-12 and carbon-14.
- The atomic mass of carbon-12 is 12 u.
- The atomic mass of carbon-14 is 14 u.
Step 2: Calculate the weighted average atomic mass of the sample.
- The weighted average atomic mass is the sum of the products of the atomic masses and their mole fractions.
- Let x be the mole fraction of carbon-12 and y be the mole fraction of carbon-14.
- x + y = 1 (since the sample contains only these two isotopes)
- x = 0.95 and y = 0.05 (given)
- The weighted average atomic mass = (x * 12 u) + (y * 14 u)
= (0.95 * 12 u) + (0.05 * 14 u)
= 11.4 u + 0.7 u
= 12.1 u
Answer: The average atomic mass of the sample is 12.1 u.
Therefore, the correct option is (d) 6.1.
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A sample of carbon that contains 95% by mole carbon-12 and 5% by mole carbon-14 isotopes .The average atomic mass is a)12.5 b)12.1 c)6.05 d)6.1?
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A sample of carbon that contains 95% by mole carbon-12 and 5% by mole carbon-14 isotopes .The average atomic mass is a)12.5 b)12.1 c)6.05 d)6.1? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A sample of carbon that contains 95% by mole carbon-12 and 5% by mole carbon-14 isotopes .The average atomic mass is a)12.5 b)12.1 c)6.05 d)6.1? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sample of carbon that contains 95% by mole carbon-12 and 5% by mole carbon-14 isotopes .The average atomic mass is a)12.5 b)12.1 c)6.05 d)6.1?.
A sample of carbon that contains 95% by mole carbon-12 and 5% by mole carbon-14 isotopes .The average atomic mass is a)12.5 b)12.1 c)6.05 d)6.1? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A sample of carbon that contains 95% by mole carbon-12 and 5% by mole carbon-14 isotopes .The average atomic mass is a)12.5 b)12.1 c)6.05 d)6.1? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sample of carbon that contains 95% by mole carbon-12 and 5% by mole carbon-14 isotopes .The average atomic mass is a)12.5 b)12.1 c)6.05 d)6.1?.
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