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how many moles are contained in 8.65 x 10²² atoms of silver? include the units, but do not write the chemical formula. round the answer to 3 significant figures.
answer:

Explanation:

Step1: Recall Avogadro's number

Avogadro's number is \( 6.022 \times 10^{23} \) atoms/mol, which relates the number of atoms to moles. The formula to find moles (\( n \)) from number of atoms (\( N \)) is \( n=\frac{N}{N_A} \), where \( N_A \) is Avogadro's number.

Step2: Substitute values

Given \( N = 8.65\times 10^{22} \) atoms and \( N_A=6.022\times 10^{23} \) atoms/mol. So, \( n=\frac{8.65\times 10^{22}}{6.022\times 10^{23}} \).

Step3: Calculate the value

First, simplify the exponents: \( 10^{22}/10^{23}=10^{-1} \). Then, \( 8.65/6.022\approx1.436 \). Multiply by \( 10^{-1} \): \( 1.436\times 10^{-1}=0.1436 \) mol. Round to 3 significant figures: \( 0.144 \) mol.

Answer:

\( 0.144 \) moles