Q) in the reaction, 210kj of heart energy is used to form 3.0 miles of hydrogen.
Calculate how much heat energy is needed to make 1000kg of hydrogen.
1 mol H2 = 2.0g; 3 mols H2 = 6.0g = 0.006 kg.
? kJ = 210 kJ x (1000 kg/0.006 kg) = ?
To calculate how much heat energy is needed to make 1000kg of hydrogen, we first need to determine the heat energy required to produce 1.0 mole of hydrogen.
Given:
- 210 kJ of heat energy is used to form 3.0 moles of hydrogen.
We can use the given information to calculate the heat energy required to form 1.0 mole of hydrogen:
Heat energy per mole of hydrogen = 210 kJ / 3.0 mol
Heat energy per mole of hydrogen = 70 kJ/mol
Next, we need to determine the number of moles in 1000 kg of hydrogen. To do this, we use the molar mass of hydrogen:
Molar mass of hydrogen (H₂) = 2.016 g/mol
Converting the mass of hydrogen to moles:
Number of moles = mass / molar mass
Number of moles = 1000000 g / 2.016 g/mol
Number of moles = 496031.746 mol
Finally, we can calculate the heat energy required to produce 1000 kg of hydrogen:
Heat energy = heat energy per mole of hydrogen × number of moles
Heat energy = 70 kJ/mol × 496031.746 mol
Heat energy = 34722222.222 kJ
Therefore, approximately 34.7 GJ (gigajoules) of heat energy is needed to produce 1000 kg of hydrogen.
To calculate the heat energy needed to produce 1000 kg of hydrogen, we can use the concept of stoichiometry. Stoichiometry allows us to determine the relationship between the amount of reactants and products in a chemical reaction.
In this case, we have the information that 210 kJ of heat energy is used to form 3.0 moles of hydrogen.
Step 1: Convert moles of hydrogen to kg
To do this, we need to know the molar mass of hydrogen, which is 2.016 g/mol.
1 mole of hydrogen = 2.016 g
1 kg = 1000 g
So, 1 mole of hydrogen = 2.016/1000 = 0.002016 kg
Now, we need to determine how many moles of hydrogen are in 1000 kg.
1000 kg of hydrogen = (1000/0.002016) moles = 495,054 moles.
Step 2: Use the given information to calculate the amount of heat energy needed.
From the information given, we know that 3.0 moles of hydrogen require 210 kJ of heat energy.
Using this ratio, we can calculate how much heat energy is required for 495,054 moles of hydrogen.
Heat energy needed = (495,054 moles of hydrogen / 3.0 moles of hydrogen) * 210 kJ
Heat energy needed = 82,509,000 kJ
Therefore, to produce 1000 kg of hydrogen, 82,509,000 kJ of heat energy is needed.