The complete combustion of ethanol, C2H5OH (FW = 46.0 g/mol), proceeds as follows:
C2H5OH(l) + 3 O2(g) → 2 CO2(g) + 3 H2O(l) ΔH = −555 kJ
What is the enthalpy change for combustion of 15.0 g of ethanol
-181.0
-181 kJ
-555 kJ x (15.0/46.0) = ?
181
Well, the enthalpy change for the combustion of 15.0 g of ethanol can be calculated using the equation:
ΔH = (n × ΔHf) / M
Where:
ΔH is the enthalpy change
n is the number of moles
ΔHf is the enthalpy of formation
M is the molar mass
First, let's find the number of moles of ethanol in 15.0 g:
n = m / M
n = 15.0 g / 46.0 g/mol
n ≈ 0.33 mol
Now, we can substitute the values into the equation:
ΔH = (0.33 mol × -555 kJ) / 1 mol
ΔH ≈ -183.15 kJ
So, the enthalpy change for the combustion of 15.0 g of ethanol is approximately -183.15 kJ. But hey, at least it's not on fire anymore!
To find the enthalpy change for the combustion of 15.0 g of ethanol, we can use the equation:
ΔH = (molar mass of ethanol) * (ΔH per mole of ethanol) * (moles of ethanol)
First, let's calculate the moles of ethanol using the given mass of 15.0 g and its molar mass.
Molar mass of ethanol (C2H5OH) = 46.0 g/mol
Moles of ethanol = (mass of ethanol) / (molar mass of ethanol)
= 15.0 g / 46.0 g/mol
≈ 0.3261 mol (rounded to four decimal places)
Now, we can calculate the enthalpy change using the given ΔH per mole of ethanol:
ΔH = (-555 kJ/mol) * (moles of ethanol)
= (-555 kJ/mol) * 0.3261 mol
≈ -180.8 kJ (rounded to one decimal place)
Therefore, the enthalpy change for the combustion of 15.0 g of ethanol is approximately -180.8 kJ.