The aromatic hydrocarbon cymene (C10H14) is found in nearly 100 spices and fragrances, including coriander, anise, and thyme. The complete combustion of 1.608 g of cymene in a bomb calorimeter (Calorimeter = 3.640 kJ/°C) produced an increase in temperature of 19.35°C. How much thermal energy is produced during the complete combustion of one mole of cymene?

Respuesta :

Answer : The thermal energy produced during the complete combustion of one mole of cymene is -7193 kJ/mole

Explanation :

First we have to calculate the heat released by the combustion.

[tex]q=c\times \Delta T[/tex]

where,

q = heat released = ?

[tex]c[/tex] = specific heat of calorimeter = [tex]3.640kJ/^oC[/tex]

[tex]\Delta T[/tex] = change in temperature = [tex]19.35^oC[/tex]

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

[tex]q=3.640kJ/^oC\times (19.35)^oC[/tex]

[tex]q=70.43kJ[/tex]

Thus, the heat released by the combustion = 70.43 kJ

Now we have to calculate the molar enthalpy combustion.

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

where,

[tex]\Delta H[/tex] = molar enthalpy combustion = ?

q = heat released = 70.43 kJ

n = number of moles cymene = [tex]\frac{\text{Mass of cymene}}{\text{Molar mass of cymene}}=\frac{1.608g}{164.22g/mol}=0.009792mole[/tex]

[tex]\Delta H=-\frac{70.43kJ}{0.009792mole}=-7193kJ/mole[/tex]

Therefore, the thermal energy produced during the complete combustion of one mole of cymene is -7193 kJ/mole