One gram sample of NH4NO3is decomposed in a bomb calorimeter. The temp...
The heat change is given by q = C x ∆T = 1.23 x 6.12 = 7.53 kJ. As the reaction is
exothermic, the heat of decomposition for 1.00 g of NH4NO3 is ∆H = -7.53 kJ.
The molar mass of NH4NO3 is:
molar mass = (2 x 14.01 (N)) + (4 x 1.008 (H)) + (3 x 16.00 (O)) = 80.052
1.000 g therefore corresponds to 1.000/80.052 = 0.0125 mol. The molar heat of
decomposition is then: ∆H = -7.53/0.0125 = -602kJ mol-1
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One gram sample of NH4NO3is decomposed in a bomb calorimeter. The temp...
To find the molar heat of decomposition for NH4NO3, we can use the equation:
q = m * C * ΔT
Where:
q = heat absorbed or released
m = mass of the substance (in grams)
C = heat capacity of the system (in kJ/g/°C)
ΔT = change in temperature (in °C)
We are given:
Mass of NH4NO3 = 1 gram
Change in temperature = 6.12 K
Heat capacity = 1.23 kJ/g/°C
First, we need to convert the mass of NH4NO3 to moles. The molar mass of NH4NO3 is calculated as follows:
NH4NO3 = (1 x 14.01) + (4 x 1.01) + (1 x 14.01) + (3 x 16.00) = 80.04 g/mol
Using the equation:
moles = mass / molar mass
moles of NH4NO3 = 1 g / 80.04 g/mol = 0.0125 mol
Now, we can calculate the heat absorbed or released (q) using the equation:
q = m * C * ΔT
q = (0.0125 mol) * (1.23 kJ/g/°C) * (6.12 K)
q = 0.092 kJ
Finally, to find the molar heat of decomposition, we divide the heat absorbed or released by the number of moles:
Molar heat of decomposition = q / moles
Molar heat of decomposition = 0.092 kJ / 0.0125 mol
Molar heat of decomposition = 7.36 kJ/mol
Since the question asks for the answer in KJ/mol, we can round the value to 7.4 KJ/mol. However, none of the given options match this value.
Therefore, the correct answer is not provided in the given options.