The following thermochemical equation is for the reaction of NH4NO3 to form N2O and H2O.
NH4NO3 -> N2O+2H2O ΔH°=-35.9kj
How many grams of NH4NO3 would have to react to produce 10.4 kJ of energy?
_________grams
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To determine how many grams of NH4NO3 would have to react to produce 10.4 kJ of energy, we need to use the given enthalpy change (ΔH°) and the molar mass of NH4NO3.
First, let's calculate the molar mass of NH4NO3:
Molar mass of NH4NO3 = (1 * molar mass of N) + (4 * molar mass of H) + (3 * molar mass of O)
= (1 * 14.01 g/mol) + (4 * 1.01 g/mol) + (3 * 16.00 g/mol)
= 80.05 g/mol
Next, let's calculate the number of moles of NH4NO3 required to produce 10.4 kJ of energy:
ΔH = -35.9 kJ
ΔH per mole of NH4NO3 = -35.9 kJ/mol
Number of moles of NH4NO3 = (Energy required / ΔH per mole of NH4NO3)
= (10.4 kJ / -35.9 kJ/mol)
Finally, let's calculate the mass of NH4NO3 in grams:
Mass of NH4NO3 = (Number of moles of NH4NO3) * (molar mass of NH4NO3)
= ((10.4 kJ / -35.9 kJ/mol) * (80.05 g/mol)
The mass of NH4NO3 required to produce 10.4 kJ of energy is approximately 23.8 grams.