QUESTION IMAGE
Question
a typical toy balloon holds $3.50 \times 10^{23}$ atoms of helium.
toy balloons filled with helium
how many moles of helium does a typical toy balloon contain?
report your answer to three decimal places.
show avogadros number
\boxed{} moles of helium
show calculator show periodic...
Step1: Recall the formula for moles
The number of moles \( n \) is given by the formula \( n=\frac{N}{N_A} \), where \( N \) is the number of atoms and \( N_A = 6.022\times 10^{23}\ \text{atoms/mol} \) (Avogadro's number).
Step2: Substitute the values
We know \( N = 3.50\times 10^{23}\ \text{atoms} \) and \( N_A=6.022\times 10^{23}\ \text{atoms/mol} \). Substituting these values into the formula:
\( n=\frac{3.50\times 10^{23}}{6.022\times 10^{23}} \)
Step3: Calculate the result
Simplify the expression: \( \frac{3.50}{6.022}\approx 0.581 \) (rounded to three decimal places)
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\( 0.581 \)