Calcium reacts with water to yield calcium hydroxide and water according to the following equation: Ca + 2H2O ==> Ca(OH)2 + H2 . How many moles of hydrogen will be produced if 3115.8 grams of calcium hydroxide is produced?
Each mole of Ca produces one mole of H2
So, how many moles of CaO2 do you have?
How many grams in that many moles of H2?
To answer this question, we need to use the given equation and the molar mass of calcium hydroxide (Ca(OH)2). Here's how you can calculate the answer:
1. Determine the molar mass of Ca(OH)2:
- Calcium (Ca) has a molar mass of 40.08 g/mol.
- Oxygen (O) has a molar mass of 16.00 g/mol.
- Hydrogen (H) has a molar mass of 1.01 g/mol.
- Since there are two hydrogen atoms in each formula unit of Ca(OH)2, we need to multiply the molar mass of hydrogen by 2.
Molar mass of Ca(OH)2 = (40.08 g/mol) + 2[(1.01 g/mol) + 16.00 g/mol] = 74.09 g/mol
2. Convert the given mass of Ca(OH)2 to moles:
- Use the formula: Moles = Mass / Molar mass
Moles of Ca(OH)2 = 3115.8 g / 74.09 g/mol ≈ 42 moles (rounded to two decimal places)
3. According to the balanced equation provided, the ratio between moles of calcium hydroxide and moles of hydrogen is 1:1. Therefore, the number of moles of hydrogen produced is also equal to 42 moles.
So, 3115.8 grams of calcium hydroxide will produce 42 moles of hydrogen.