Question

A single layer of gold atoms form a surface whose dimensions are 1.0x10^3 angstroms by 1.0x10^3 angstroms. 1 angstrom=10^-10 meter.

A)what is the area of this surface in square angstroms? [ ]

B) What is the surface area in square centimeters? [ ]

Answer 1

Part A)
`1*10^(6)\ angstroms^(2)`

Part B)
`1*10^(-10)\ cm^(2)`

Explanation:

Remember that

When multiply numbers in scientific notation, multiply the coefficients and then add the exponents

Part A) what is the area of this surface in square angstroms?

The area is equal to

`A=(1*10^(3))( (1*10^(3))=(1)*(10^(3+3))=1*10^(6)\ angstroms^(2)`

Part B) What is the surface area in square centimeters

we know that

1 angstrom=10^-10 m

so

1 angstrom=10^-8 cm

Convert angstroms to cm

`(1*10^(3))\ angstroms=(1*10^(3))*(10^(-8))=(1*10^(-5))\ cm`

The area is equal to

`A=(1*10^(-5))(1*10^(-5))=(1)*(10^(-5-5))=1*10^(-10)\ cm^(2)`