A 1.000 gram sample of the rocket fuel hydrazine (N2H4) is burned in a bomb calorimeter. The temperature rises from 24.62°C to 28.16°C. The heat capacity of the calorimeter (including the water) is 5860 J/°C. Calculate the molar heat of combustion of hydrazine, in kJ/mole.

Respuesta :

Answer:

The molar heat of combustion of hydrazine is -663.82 kJ/mole.

Explanation:

First we have to calculate the heat gained by the calorimeter.

[tex]q=c\times (T_{final}-T_{initial})[/tex]

where,

q = heat gained = ?

c = specific heat = [tex]5860 J/^oC[/tex]

[tex]T_{final}[/tex] = final temperature = [tex]28.16^oC[/tex]

[tex]T_{initial}[/tex] = initial temperature = [tex]24.62^oC[/tex]

Now put all the given values in the above formula, we get:

[tex]q=5860 J/^oC\times (28.16-24.62)^oC[/tex]

[tex]q=20,744.4 J=20.7444 kJ[/tex]

Now we have to calculate the enthalpy change during the reaction.

[tex]\Delta H=-\frac{q}{n}[/tex]

where,

[tex]\Delta H[/tex] = enthalpy change = ?

q = heat gained = 20.7444 kJ

n = number of moles fructose = [tex]\frac{\text{Mass of hydrazine}}{\text{Molar mass of hydrazine}}=\frac{1.000 g}{32 g/mol}=0.03125 mole[/tex]

[tex]\Delta H=-\frac{20.7444 kJ}{0.03125 mole}=-663.82 kJ/mole[/tex]

The molar heat of combustion of hydrazine is -663.82 kJ/mole.

Answer: -20.7

Explanation:

qrxn=−(qwater+qbomb)qrxn=−(cwatermΔT+ccalorimeterΔT)qrxn=−[(4.184Jg∘C)(1200. g)(3.54∘C)+(840. J∘C)(3.54∘C)]

qrxn=−20,700 J=−20.7 kJ

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