Answer :
The nearest hundredth, the average atomic mass of chlorine is approximately 35.47 amu. Option B
To calculate the average atomic mass of chlorine, we need to consider the relative abundance and atomic mass of each isotope. In this case, we have two isotopes of chlorine: chlorine-37 (Cl-37) and chlorine-35 (Cl-35).
Given that 25% of chlorine is Cl-37 and 75% is Cl-35, we can calculate the average atomic mass using the following steps:
Step 1: Calculate the contribution of each isotope to the average atomic mass:
Contribution of Cl-37 = (25/100) × (atomic mass of Cl-37)
Contribution of Cl-35 = (75/100) × (atomic mass of Cl-35)
Step 2: Add the contributions to obtain the average atomic mass:
Average atomic mass = Contribution of Cl-37 + Contribution of Cl-35
To calculate the average atomic mass, we need to know the atomic masses of Cl-37 and Cl-35. The atomic mass of an isotope is the mass of one atom of that isotope relative to the mass of a carbon-12 atom, which is assigned a mass of exactly 12 atomic mass units (amu).
The atomic mass of Cl-37 is approximately 36.966 amu, and the atomic mass of Cl-35 is approximately 34.968 amu.
Now, let's substitute these values into the formula to calculate the average atomic mass:
Average atomic mass = (0.25 × 36.966 amu) + (0.75 × 34.968 amu)
= 9.2415 amu + 26.226 amu
= 35.4675 amu
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