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Multiple Choice
If the density of water is 1.00 g/mL at 25°C, calculate the number of water molecules found in 1.50 x 103 µL of water.
A
3.993 x 1021 molecules
B
5.013 x 1022 molecules
C
7.411 x 1023 molecules
D
6.291 x 1024 molecules
Verified step by step guidance
1
Convert the volume from microliters (µL) to milliliters (mL). Since 1 mL = 1000 µL, divide the given volume by 1000 to get the volume in mL.
Use the density of water to find the mass of water. Multiply the volume in mL by the density (1.00 g/mL) to obtain the mass in grams.
Convert the mass of water to moles. Use the molar mass of water (approximately 18.02 g/mol) and divide the mass of water by this molar mass to find the number of moles.
Calculate the number of molecules using Avogadro's number. Multiply the number of moles by Avogadro's number (6.022 x 10^23 molecules/mol) to find the total number of water molecules.
Review the calculation steps to ensure each conversion and multiplication is correctly applied, and verify the units at each stage to confirm the accuracy of the process.