Atomic weight of chlorine is 35.5.it has two isotopes of atomic weight...
If the percentage of heavy Chlorine atoms is a then the percentage of lighter ones is 100-a.
On average, in a hundred atoms there should be a heavy and 100-a light ones.
And the mass of a hundred atoms is 100 lots of 35.5.
The mass of the heavy atoms is a x 37.
The mass of the light ones is [100-a] x 35.
So,
(a x 37) + ( [100-a] x 35 ) =35.5 x 100
37a + 3500 -35a = 3550
2a = 50
a = 25.
In other words, 25%
This question is part of UPSC exam. View all NEET courses
Atomic weight of chlorine is 35.5.it has two isotopes of atomic weight...
Atomic weight of chlorine is 35.5.it has two isotopes of atomic weight...
Atomic Weight of Chlorine:
The atomic weight of chlorine is 35.5. This means that the average mass of a chlorine atom is 35.5 atomic mass units (amu). However, chlorine has two isotopes with different atomic weights.
Isotopes of Chlorine:
Isotopes are atoms of the same element that have different numbers of neutrons in their nuclei. Chlorine has two stable isotopes: chlorine-35 and chlorine-37.
Percentage of Heavier Isotope:
To determine the percentage of the heavier isotope in a sample of chlorine, we need to consider the relative abundance of each isotope.
Let's assume that the sample contains x% of chlorine-35 and (100-x)% of chlorine-37.
Calculating Average Atomic Weight:
The average atomic weight of an element is the weighted average of the atomic masses of its isotopes, taking into account their relative abundances.
Using the given atomic weights of chlorine-35 (35 amu) and chlorine-37 (37 amu), we can set up the following equation:
(35 amu * x%) + (37 amu * (100-x)%) = 35.5 amu
Simplifying the equation, we have:
(35x/100) + (37(100-x)/100) = 35.5
Solving for x, we get:
35x + 37(100-x) = 3550
35x + 3700 - 37x = 3550
-2x = -150
x = (-150)/(-2)
x = 75
Therefore, the percentage of the heavier isotope (chlorine-37) in the sample is 100 - x = 100 - 75 = 25%.
Explanation:
- The atomic weight of an element is the average mass of its atoms, taking into account the isotopic composition.
- Chlorine has two stable isotopes: chlorine-35 and chlorine-37.
- The average atomic weight of chlorine is 35.5 amu.
- To calculate the percentage of the heavier isotope (chlorine-37) in a sample, we set up an equation based on the relative abundances of the isotopes.
- Solving the equation, we find that the percentage of chlorine-37 is 25% in the sample.
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.