If 1mile of methane(CH4) is releases 890 kJ/mole, how much energy is released per gram of methane?
1 mole?
MolmassCH4=16grams
energy/gram=890kJ/16grams
To calculate the energy released per gram of methane, we need to know the molar mass of methane (CH4). The molar mass of methane can be determined by adding up the atomic masses of its constituent atoms.
The atomic mass of carbon (C) is approximately 12.01 g/mol, and the atomic mass of hydrogen (H) is approximately 1.01 g/mol. Since methane contains one carbon atom and four hydrogen atoms, we can calculate the molar mass of methane as follows:
(1 * 12.01 g/mol) + (4 * 1.01 g/mol) = 16.05 g/mol
Therefore, the molar mass of methane is 16.05 g/mol.
Given that 1 mole of methane releases 890 kJ of energy, we can now calculate the energy released per gram of methane.
Using the molar mass of methane, we can convert from moles to grams:
1 mole of methane = 16.05 g of methane
Since we want to find the energy released per gram of methane, we can set up the following proportion:
1 mole of methane / 16.05 g of methane = x moles of methane / 1 g of methane
Solving for x, we can determine the moles of methane per gram:
x = (1 mole of methane * 1 g of methane) / 16.05 g of methane
x ≈ 0.06229 moles/g
Now, we can calculate the energy released per gram of methane:
Energy released per gram of methane = 0.06229 moles/g * 890 kJ/mole
Energy released per gram of methane ≈ 55.42 kJ/g
Therefore, approximately 55.42 kJ of energy is released per gram of methane.