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How many molecules of H_2O are present in 2.7 moles of water?
A
4.50 \(\times\) 10^{23} molecules
B
6.02 \(\times\) 10^{23} molecules
C
2.70 \(\times\) 10^{22} molecules
D
1.63 \(\times\) 10^{24} molecules
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1
Understand that the problem asks for the number of molecules in a given amount of moles of water. The key concept here is the relationship between moles and number of molecules.
Recall Avogadro's number, which is the number of molecules in one mole of any substance. Avogadro's number is \(6.02 \times 10^{23}\) molecules per mole.
Set up the calculation by multiplying the number of moles of water by Avogadro's number to find the total number of molecules: \(\text{Number of molecules} = \text{moles} \times 6.02 \times 10^{23}\).
Substitute the given value of moles (2.7 moles) into the equation: \(\text{Number of molecules} = 2.7 \times 6.02 \times 10^{23}\).
Perform the multiplication to find the total number of water molecules present in 2.7 moles.