A reaction mixture of N2O4 and NO2 absorbs the heat given off in the combustion of 6.35 L CH4 measured at 24.7 C and 812 Torr. How many moles of N2O4 can be converted to NO2 as a result?
CH4 + 2O2 --> CO2 + 2H2O
Delta H = -890.3 KJ
N2O4 --> 2NO2
Delta H = +57.2 KJ
Same type problem as your CH4 problem below.
To find the number of moles of N2O4 that can be converted to NO2, we need to calculate the amount of heat released by the combustion of CH4 and compare it with the amount of heat required for the conversion of N2O4 to NO2.
Step 1: Convert the given volume of CH4 to moles:
Using the ideal gas law, PV = nRT, we can calculate the number of moles of CH4.
P = 812 Torr = 1073.09 Pa (convert Torr to Pa)
V = 6.35 L
R = 0.0821 L·atm/mol·K (ideal gas constant)
T = 24.7 + 273.15 = 297.85 K (convert Celsius to Kelvin)
Using the formula n = PV / RT, we can calculate the number of moles of CH4:
n(CH4) = (1073.09 Pa) * (6.35 L) / (0.0821 L·atm/mol·K * 297.85 K)
Step 2: Calculate the heat released by the combustion of CH4:
Since the equation shows that 1 mole of CH4 produces -890.3 kJ of energy, we can use this information to calculate the heat released by the combustion of the moles of CH4.
Q(CH4) = n(CH4) * (-890.3 kJ/mol)
Step 3: Calculate the molar heat of the conversion process:
The molar heat of the conversion process is given as +57.2 kJ/mol.
Step 4: Compare the heat released by the combustion of CH4 with the heat required for the conversion of N2O4 to NO2:
In order for the reaction mixture of N2O4 and NO2 to absorb the heat given off by the combustion of CH4, the heat released by the combustion of CH4 should be equal to or greater than the heat required for the conversion of N2O4 to NO2.
If Q(CH4) ≥ Q(N2O4 to NO2), then the conversion can occur.
Step 5: Calculate the moles of N2O4 that can be converted to NO2:
To calculate the moles of N2O4 that can be converted, divide the heat released by the combustion reaction (Q(CH4)) by the molar heat of the conversion process (Q(N2O4 to NO2)).
Moles of N2O4 = Q(CH4) / Q(N2O4 to NO2)
Plug in the values and solve for the moles of N2O4 that can be converted to NO2.