Approximately how many water molecules are in a lake with a volume of 12 100 km³? A water molecule measures approximately 2.75 × 10¯¹⁰ m in length. A)2E+15 B)5E+22 C)4E+14 D)6E+41

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To estimate the number of water molecules in a lake of volume 12,100 km³, we first convert the volume to cubic meters (1 km³ = 10^9 m³), giving us 12,100 km³ = 12,100 × 10^9 m³. The volume of a single water molecule can be approximated by considering it as a cube with each side of length 2.75 × 10^-10 m, so its volume is (2.75 × 10^-10 m)³ = 2.075625 × 10^-29 m³. The number of water molecules is then the total volume of the lake divided by the volume of a single molecule, which is (12,100 × 10^9 m³) / (2.075625 × 10^-29 m³) ≈ 5.83 × 10^40, rounding to significant figures gives approximately 6 × 10^41.

​Approximately How Many Water Molecules Are in a Lake with a Volume

Approximately How Many Water Molecules Are in a Lake with a Volume