CaSO4.2H2O is a hydrated salt. Calculate the mass of water in 5 moles of this salt.(Formula CaSO4.2H2O suggests there are 2 moles of water in one mole of CaSO4.)
Question
CaSO4.2H2O is a hydrated salt. Calculate the mass of water in 5 moles of this salt.(Formula CaSO4.2H2O suggests there are 2 moles of water in one mole of CaSO4.)
Solution
To calculate the mass of water in 5 moles of CaSO4.2H2O, we need to use the molar mass of water and the molar ratio between water and CaSO4.
Step 1: Calculate the molar mass of water (H2O) The molar mass of water (H2O) is calculated by adding the atomic masses of hydrogen (H) and oxygen (O). The atomic mass of hydrogen is 1.008 g/mol, and the atomic mass of oxygen is 16.00 g/mol. Therefore, the molar mass of water is: (2 * 1.008 g/mol) + (1 * 16.00 g/mol) = 18.02 g/mol
Step 2: Calculate the molar mass of CaSO4.2H2O The molar mass of CaSO4.2H2O is calculated by adding the molar mass of calcium (Ca), sulfur (S), oxygen (O), and twice the molar mass of water (H2O). The atomic mass of calcium is 40.08 g/mol, the atomic mass of sulfur is 32.07 g/mol, and the atomic mass of oxygen is 16.00 g/mol. Therefore, the molar mass of CaSO4.2H2O is: (1 * 40.08 g/mol) + (1 * 32.07 g/mol) + (4 * 16.00 g/mol) + (2 * 18.02 g/mol) = 172.18 g/mol
Step 3: Calculate the mass of water in 5 moles of CaSO4.2H2O Since the molar ratio between water and CaSO4 is 2:1, for every 1 mole of CaSO4, there are 2 moles of water. Therefore, in 5 moles of CaSO4.2H2O, there are 2 * 5 = 10 moles of water.
To calculate the mass of water, we multiply the molar mass of water by the number of moles of water: Mass of water = molar mass of water * number of moles of water Mass of water = 18.02 g/mol * 10 mol = 180.2 g
Therefore, the mass of water in 5 moles of CaSO4.2H2O is 180.2 grams.
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