A person drinks about 1.50 × 103 g of water, H2O, per day. How many moles is this?

a) 0.0120

b) 8.33

c) 83.3

d) 1.20 × 102

1 answer

To find the number of moles of water, we need to use the molar mass of water, H2O, which is the sum of the atomic masses of hydrogen (H) and oxygen (O).

The atomic mass of hydrogen (H) is 1.01 g/mol, and the atomic mass of oxygen (O) is 16.00 g/mol. Using these values, we can find the molar mass of water:

Molar mass of H2O = (2 * atomic mass of H) + atomic mass of O
= (2 * 1.01 g/mol) + 16.00 g/mol
= 18.02 g/mol

Now, we can find the number of moles of water by dividing the given mass by the molar mass:

Number of moles of H2O = Mass of H2O / Molar mass of H2O
= 1.50 × 103 g / 18.02 g/mol

Calculating this gives:

Number of moles of H2O = 83.296 g/mol

Rounding to the appropriate number of significant figures gives:

Number of moles of H2O = 83.3 mol

Therefore, the answer is c) 83.3.