To find the number of molecules in 7.8 moles of water, you can use Avogadro's number, which states that one mole of any substance contains approximately \(6.022 \times 10^{23}\) molecules.
To calculate the number of molecules in 7.8 moles, you use the following formula:
\[ \text{Number of molecules} = \text{Number of moles} \times \text{Avogadro's number} \]
\[ \text{Number of molecules} = 7.8 , \text{moles} \times 6.022 \times 10^{23} , \text{molecules/mole} \]
\[ \text{Number of molecules} \approx 4.69 \times 10^{24} , \text{molecules} \]
From the options given, \(4.7 \times 10^{24}\) molecules is the closest correct response.