Under constant-volume conditions, the heat of combustion of benzoic acid (c6h5cooh) is 26.38 kj/g. a 2.600-g sample of benzoic acid is burned in a bomb calorimeter. the temperature of the calorimeter increases from 21.90°c to 29.74°c. (a) what is the total heat capacity of the calorimeter? kj/°c (b) a 1.290-g sample of a new organic substance is combusted in the same calorimeter. the temperature of the calorimeter increases from 22.50°c to 28.76°c. what is the heat of combustion per gram of the new substance? kj/g

Respuesta :

heat capacity of calorimeter is 8.75kj/g°C

heat of combustion of new substance is 42.47 kj/g C

Ver imagen ashimasood66
Ver imagen ashimasood66

During a combustion reaction, the heat generated for the product formation is called the heat of combustion. The heat capacity of the calorimeter is [tex]\rm 8.75 \;KJ/g ^{\circ} C[/tex] and the heat of combustion is 42.47 KJ/g.

What is a calorimeter?

It is a device to measure the heat absorbed and involved in the chemical reaction and system.

The heat capacity of the calorimeter can be estimated as:

The temperature change of the device can be calculated as,

[tex]\begin{aligned}\rm \Delta T &= \rm T_{2} - T_{1}\\\\&= 29.74 - 21. 90\\\\&= 7.84 \end{aligned}[/tex]

The heat energy released is calculated as,

[tex]\begin{aligned}\rm q &= 2600 \times 26.38\\\\&= 68.59 \rm \; KJ \end{aligned}[/tex]

Specific heat capacity is given as,

[tex]\begin{aligned}\rm c &=\rm \dfrac{q}{\Delta T}\\\\& = \dfrac{68.59}{7.84}\\\\&= 8.75 \;\rm KJ / g ^{\circ}C\end{aligned}[/tex]

Hence, heat capacity is [tex]8.75 \;\rm KJ / g ^{\circ}C[/tex].

The heat of combustion can be calculated as:

The temperature change of the device can be calculated as,

[tex]\begin{aligned}\rm \Delta T &= \rm T_{2} - T_{1}\\\\&= 28.76 - 22 .50\\\\& = 6.26 ^{\circ}\rm C\end{aligned}[/tex]

The heat energy released is calculated as,

[tex]\begin{aligned}\rm q &= 8.75 \times 6.26\\\\&= 54.78 \rm \; KJ \end{aligned}[/tex]

The heat of combustion is 54.78 KJ.

The heat of combustion of new substance is:

[tex]\begin{aligned} \rm q &= \dfrac{54.78}{1.290}\\\\&= 42.47 \;\rm KJ/g\end{aligned}[/tex]

Hence, the heat of combustion is 42.47 KJ/g.

Therefore, the heat capacity of the calorimeter is [tex]\rm 8.75 \;KJ/g ^{\circ} C[/tex] and the heat of combustion is 42.47 KJ/g.

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