Final answer:
To find the percent water in a hydrate, calculate the mass of the hydrate, the mass of the anhydrous salt, the water lost on heating, and divide the water mass by the hydrate mass, then multiply by 100% which is 39.77% H2O
Step-by-step explanation:
Calculating the Percent Water in a Hydrate:
To calculate the mass of the hydrate heated, we subtract the mass of the empty crucible from the mass of the crucible with the hydrate: 21.447 g (crucible + hydrate) - 17.985 g (empty crucible) = 3.462 g (hydrate). Then we find the mass of the anhydrous salt by subtracting the mass of the empty crucible from the mass of the crucible with the anhydrous salt: 20.070 g (crucible + anhydrous salt) - 17.985 g (empty crucible) = 2.085 g (anhydrous salt).
To calculate the mass of the water lost during heating, we subtract the mass of the anhydrous salt from the mass of the hydrate: 3.462 g (hydrate) - 2.085 g (anhydrous salt) = 1.377 g (H2O).
Lastly, to calculate the percent H2O, we divide the mass of the water by the mass of the hydrate and multiply by 100%:
(1.377 g H2O / 3.462 g hydrate) x 100% ≈ 39.77% H2O.