At constant volume, the heat of combustion of a particular compound is − 3550.0 kJ / mol. When 1.075 g of this compound ( molar mass = 154.74 g / mol ) was burned in a bomb calorimeter, the temperature of the calorimeter, including its contents, rose by 4.073 ∘ C. What is the heat capacity (calorimeter constant) of the calorimeter?

Respuesta :

Answer:

[tex]C=1,25\cdot 10^{5} kJ/^{\circ}C[/tex]

Explanation:

First of all let's define the specific molar heat capacity.

[tex]C = \frac{-Q}{n\cdot \Delta T}[/tex] (1)

Where:

Q is the released heat by the system

n is the number of moles

ΔT is the difference of temperature of the system  

Now, we can find n with the molar mass (M) the mass of the compound (m).

[tex]n=\frac{m}{M}=6.95\cdot 10^{-3} moles[/tex]      

Using (1) we have:

[tex]C=\frac{-3550}{6.95\cdot 10^{-3} 4.073}[/tex]

[tex]C=1,25\cdot 10^{5} kJ/^{\circ}C[/tex]

I hope it helps!