Question #168632

The density of water at 4.00Â°C is 0.967 g/mL. How many molecules of water are present in a 499.8 mL bottle of water? Express your answer to the correct number of significant figures. Be sure to show all steps completed to arrive at the answer.

Expert's answer

Density of water at 4.00^{o}C is 0.967 g/mL . Volume of water = 499.8 mL

Mass of water ="density \\times volume = 0.967 \\times 499.8=483.3066 g"

Number of moles of water molecules in given mass of water ="\\frac{given mass}{molar mass}= \\frac{483.3066}{18}=26.85"

we know that 1 mole has "6.022\\times 10^{23}" molecules of water

so,

number of water molecules="6.022\\times 10^{23} \\times 26.85=161.69\\times 10^{23}=1.62 \\times 10^{25}" molecules of water. It is upto 3 significant figure.

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