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Sodium carbonate (Na2CO3) reacts with acetic acid (CH3COOH) to form sodium acetate (NaCH3COO), carbon dioxide (CO2), and water (H2O). A chemist carries out this reaction in a bomb calorimeter. The reaction causes the temperature of a bomb calorimeter to decrease by 0.985 K. The calorimeter has a mass of 1.500 kg and a specific heat of 2.52 J/g•K. What is the heat of reaction for this system?

Respuesta :

Answer:

[tex]\Delta _rH =-3723.3 J[/tex]

Explanation:

Hello,

In this case, as you're working in a calorimeter, its associated heat equals the enthalpy of reaction due to the change in the temperature and its mass, in such a way, we compute it as follows:

[tex]\Delta _rH = mCp*\Delta T\\\Delta _rH = 1.500kg * \frac{1000g}{1kg}  * 2.52\frac{J}{g*K} * (-0.985K)\\\Delta _rH = - 3723.3 J[/tex]

It is negative, since the temperature within the calorimeter is decreased.

Best regards.

Bomb calorimeter measures the heat capacity of the chemical reaction and the heat of combustion in a reaction. The heat of reaction for this system is -3.72 kJ.

What is heat (Q)?

Heat is the energy released or absorbed by the reactants in a reaction to yield products.

Given,

Mass of bomb calorimeter (m) = 1500 g

Specific heat of calorimeter (c) = 2.52 J/g K

Temperature change of calorimeter [tex](\Delta \;\rm T)[/tex] = - 0.985 K

The formula for calculating heat is:

[tex]\rm Q = mc\Delta T[/tex]

Substituting values in reaction we get:

[tex]\begin{aligned}\rm Q &= 1500 \times 2.52 \times (- 0.985)\\\\\rm Q &= - 3723.3 \;\rm J \end{aligned}[/tex]

The negative sign of the heat indicates that the heat is given by the calorimeter.

Therefore, -3723.3 J or -3.7233 kJ is the heat.

Learn more about bomb calorimeter here:

https://brainly.com/question/4059226