On a hypothetical relative mass scale, the average mass of the atoms of element A was assigned a value of 64.00 gigs. The average mass of the atoms of element B is 36.40% that of element A, and the average mass of the atoms of element C is 6.43 times the mass of A. What is the average mass of the atoms of element C rounded to the nearest 0.01 gigs?
A) 34.98 gigs
B) 439.70 gigs
C) 87.67 gigs
D) 411.52 gigs
The correct answer and explanation is :
To determine the average mass of the atoms of element C, we can use the information provided:
- The average mass of element A’s atoms is assigned a value of 64.00 gigs.
- The average mass of element C’s atoms is 6.43 times that of element A.
To find the average mass of element C’s atoms, we multiply the average mass of element A by 6.43:
[
\text{Average mass of element C} = 6.43 \times 64.00\, \text{gigs} = 411.52\, \text{gigs}
]
Rounding this value to the nearest 0.01 gigs gives:
[
411.52\, \text{gigs}
]
Therefore, the correct answer is:
D) 411.52 gigs
This calculation is based on the concept of relative atomic masses, where the mass of an atom is compared to a standard reference, often the carbon-12 isotope. In this hypothetical scenario, element A’s atoms are assigned a mass of 64.00 gigs, and element C’s atoms are defined as having 6.43 times that mass. By performing the multiplication, we arrive at the average mass of element C’s atoms.
