QuestionCalculate the moles in $1.10^{*} 10^{\wedge} 27$ gold atoms. Provide your answer in scientific notation with correct sig figs.

Studdy Solution

STEP 1

Assumptions1. The number of gold atoms is $1.10^{}10^{\wedge}27$ . Avogadro's number is $6.022^{}10^{\wedge}23$ atoms per mole, which is the number of atoms in one mole of any substance.

STEP 2

We need to find the number of moles from the given number of atoms. We can do this by dividing the number of atoms by Avogadro's number.
$Moles = \frac{Number\, of\, atoms}{Avogadro's\, number}$

STEP 3

Now, plug in the given values for the number of atoms and Avogadro's number to calculate the moles.
$Moles = \frac{1.10^{}10^{\wedge}27}{6.022^{}10^{\wedge}23}$

STEP 4

Perform the division to calculate the number of moles. $Moles = \frac{1.10^{}10^{\wedge}27}{6.022^{}10^{\wedge}23} =1.83^{}10^{\wedge}3$ The number of moles of gold atoms is $1.83^{}10^{\wedge}3$ moles.

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