Answer : The fuel value and the fuel density of pentane is, 49.09 kJ/g and [tex]3.073\times 10^4kJ/L[/tex] respectively.
Explanation :
Fuel value : It is defined as the amount of energy released from the combustion of hydrocarbon fuels. The fuel value always in positive and in kilojoule per gram (kJ/g).
As we are given that:
[tex]\Delta H^o_{comb}=-3535kJ/mol[/tex]
Fuel value = [tex]\frac{\Delta H^o_{comb}}{\text{Molar mass of pentane}}[/tex]
Molar mass of pentane = 72 g/mol
Fuel value = [tex]\frac{3535kJ/mol}{72g/mol}[/tex]
Fuel value = 49.09 kJ/g
Now we have to calculate the fuel density of pentane.
Fuel density = Fuel value × Density
Fuel density = (49.09 kJ/g) × (0.626g/mL)
Fuel density = 30.73 kJ/mL = [tex]3.073\times 10^4kJ/L[/tex]
Thus, the fuel density of pentane is [tex]3.073\times 10^4kJ/L[/tex]
