Final answer:
To find how many water molecules equal the mass of a marble, the mass of the marble is divided by the molar mass of water to calculate moles, then multiplied by Avogadro's number to find the molecule count.
Step-by-step explanation:
To determine how many water molecules would have the mass of one marble, we need to consider the mass of a single water molecule relative to the mass of the marble. A water molecule has a molecular mass of approximately 18 g/mol, which means one mole (Avogadro's number, 6.022 × 1023 molecules) of water weighs 18 grams. Assuming an average-size marble weighs about 5 grams, we can calculate the number of moles in the marble's weight (5 g) and then determine the number of molecules.
Here is the calculation:
- Calculate the number of moles of water equivalent to the mass of the marble: number of moles = mass of the marble (5 g) / molar mass of water (18 g/mol).
- Find the number of water molecules by multiplying the number of moles by Avogadro's number.
Long story short, a substantial number of water molecules would equate to the mass of a marble, given that even a tiny fraction of a mole of water contains a tremendous number of molecules.