Math

QuestionFind the moles in a 3,694 molecule sample of H2O\mathrm{H}_{2} \mathrm{O}. Answer in 4 sig figs and scientific notation: 10{ }^{\star} 10^{\wedge}.

Studdy Solution

STEP 1

Assumptions1. The number of molecules in the sample is3,694. We are dealing with a sample of H\mathrm{H}_{} \mathrm{}
3. Avogadro's number is 6.022×10236.022 \times10^{23} molecules/mole, which is the number of molecules in one mole of any substance

STEP 2

We need to find the number of moles in the given sample. We can do this by dividing the number of molecules by Avogadro's number.
Moles=NumberofmoleculesAvogadrosnumberMoles = \frac{Number\, of\, molecules}{Avogadro's\, number}

STEP 3

Now, plug in the given values for the number of molecules and Avogadro's number to calculate the moles.
Moles=3,6946.022×1023Moles = \frac{3,694}{6.022 \times10^{23}}

STEP 4

Calculate the number of moles.
Moles=3,6946.022×1023=6.134×1021Moles = \frac{3,694}{6.022 \times10^{23}} =6.134 \times10^{-21}

STEP 5

The final answer should be given to4 significant figures and in scientific notation. The calculated value already meets these requirements.
So, the number of moles in a3,694 molecule sample of H2\mathrm{H}_{2} \mathrm{} is .134×1021.134 \times10^{-21} moles.

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