If the heat of combustion for a specific compound is -1010.0 kJ/mol and its molar mass is 46.03 g/mol, how many grams of this compound must you burn to release 388.00 kJ of heat?
1010 kJ/mol x # mols = 388 kJ
Solve for # mols. Then mols = grams/molar mass. You know molar mass and mols; solve for grams.
To calculate the grams of the compound that must be burned to release 388.00 kJ of heat, we can use the concept of molar mass and heat of combustion.
Step 1: Calculate the moles of heat released:
Given that the heat of combustion is -1010.0 kJ/mol, and the heat released is 388.00 kJ, we can use the following equation:
-1010.0 kJ/mol = 388.00 kJ / x mol
Where x represents the moles of the compound.
Rearranging the equation to solve for x:
x mol = 388.00 kJ / -1010.0 kJ/mol
x mol = -0.384 mol
Note: The negative value is due to the energy being released.
Step 2: Convert moles to grams:
We know that the molar mass of the compound is 46.03 g/mol.
Grams = moles x molar mass
Grams = -0.384 mol x 46.03 g/mol
Converting the moles to grams:
Grams = -17.67 g
The compound must be burned with approximately 17.67 grams to release 388.00 kJ of heat.
To calculate the mass of the compound that needs to be burned in order to release a certain amount of heat, we need to use the concept of stoichiometry and the given heat of combustion.
Stoichiometry is the quantitative relationship between reactants and products in a chemical reaction. By using the ratio of the heat of combustion, we can determine the amount of substance needed to release a specific amount of heat.
Let's solve this step by step:
Step 1: Determine the molar heat of combustion
The heat of combustion is given as -1010.0 kJ/mol. This means that 1 mole of the compound releases 1010.0 kJ of heat.
Step 2: Determine the number of moles of heat released
Using the molar heat of combustion, we can calculate the number of moles of heat released for 388.00 kJ. We can set up a proportion:
1010.0 kJ x moles
-------- = ----------
1 mole 388.00 kJ
Cross-multiplying, we get:
1010.0 kJ * 1 mole = 388.00 kJ * x moles
Simplifying, we find:
x moles = (388.00 kJ * 1 mole) / 1010.0 kJ
Step 3: Calculate the mass of the compound
To find the mass of the compound, we need to use its molar mass. The molar mass is given as 46.03 g/mol.
Using the equation:
mass (g) = moles * molar mass
Substituting the values we have:
mass (g) = (x moles) * (46.03 g/mol)
Now, substitute the value of x moles from step 2:
mass (g) = [(388.00 kJ * 1 mole) / 1010.0 kJ] * (46.03 g/mol)
Calculating this expression will give us the mass of the compound that must be burned to release 388.00 kJ of heat.