Water is 11.2% by mass hydrogen. How many kilograms of water would contain 5.0g of hydrogen. (using conversion factors)
See your oxygen post.
To determine how many kilograms of water would contain 5.0g of hydrogen, we need to use the given information that water is 11.2% hydrogen by mass.
Step 1: Calculate the mass of water that contains 1g of hydrogen.
Since water is 11.2% hydrogen by mass, this means that for every 100g of water, there are 11.2g of hydrogen.
So, if 100g of water contains 11.2g of hydrogen, then 1g of hydrogen would be present in 100g/11.2g = 8.93g of water.
Step 2: Convert the mass of hydrogen to the mass of water.
We need to find the mass of water containing 5.0g of hydrogen. From Step 1, we know that 1g of hydrogen is present in 8.93g of water.
Therefore, we can set up a proportion to find the mass of water containing 5.0g of hydrogen:
(8.93g of water) / (1g of hydrogen) = (x g of water) / (5.0g of hydrogen)
Cross-multiplying, we get:
8.93g * 5.0g = x g * 1g
44.65g = x g
So, 5.0g of hydrogen would be present in 44.65g of water.
Step 3: Convert grams to kilograms.
To convert grams to kilograms, we divide by 1000. So:
44.65g / 1000 = 0.04465 kg
Therefore, 5.0g of hydrogen would be present in 0.04465 kg of water.
To solve this problem, we need to use the concept of molar mass and conversion factors. Here's how you can solve it step by step:
1. Start by converting the given mass of hydrogen (5.0g) to the number of moles. To do this, divide the mass by the molar mass of hydrogen. The molar mass of hydrogen is approximately 1.008 g/mol.
Number of moles of hydrogen = 5.0 g / 1.008 g/mol
2. Next, we need to determine the number of moles of water that would correspond to the given moles of hydrogen. Since water is 11.2% hydrogen by mass, we can assume that the remaining 88.8% of water's mass is oxygen.
Since the atomic mass of oxygen is about 16.00 g/mol, the molar mass of water (H₂O) would be:
Molar mass of water = (2 * 1.008 g/mol) + (16.00 g/mol) = 18.02 g/mol
Now, use the mole ratio between hydrogen and water to convert the moles of hydrogen to moles of water. From the chemical formula of water (H₂O), we know that for every 2 moles of hydrogen, we have 1 mole of water:
Number of moles of water = (Number of moles of hydrogen) / 2
3. Finally, convert the number of moles of water to mass using the molar mass of water:
Mass of water = (Number of moles of water) x (Molar mass of water)
Now, let's calculate the mass of water containing 5.0g of hydrogen:
Step 1: Number of moles of hydrogen = 5.0 g / 1.008 g/mol = 4.96 mol (approx.)
Step 2: Number of moles of water = (4.96 mol) / 2 = 2.48 mol
Step 3: Mass of water = (2.48 mol) x (18.02 g/mol) = 44.69 g (approx.)
Therefore, 5.0 g of hydrogen is present in approximately 44.69 g of water.
Note: To convert grams to kilograms, divide the mass by 1000.
Mass of water in kilograms = 44.69 g / 1000 = 0.04469 kg (approx.)
So, approximately 0.04469 kg of water would contain 5.0 g of hydrogen.