Final answer:
To find the heat released for 24.5 g of C3H8, convert the mass to moles and multiply by the ΔH per mole. The heat released is approximately 1233.1 kJ.
Step-by-step explanation:
To calculate the amount of heat released when 24.5 g of C3H8 reacts, we must relate the given mass to moles using the molar mass of C3H8 (propane). The molar mass of propane is 44.09 g/mol. By dividing the mass of propane by its molar mass, we find the number of moles that will react:
- Calculate moles of C3H8: Moles = Mass / Molar Mass = 24.5 g / 44.09 g/mol
- Determine the moles of C3H8: Moles = 0.555 mol
- Apply the enthalpy change (ΔH) per mole for the reaction: For the combustion of 1 mole of propane, ΔH = -2220 kJ. Thus, the heat released for 0.555 moles is: Heat released = -2220 kJ/mol * 0.555 mol
- Calculate the total heat released: Heat released ≈ -1233.1 kJ
Therefore, when 24.5 g of C3H8 reacts, approximately 1233.1 kJ of heat will be released.