The initial temperature of the water in a constant-pressure calorimeter is
14°C. A reaction takes place in the calorimeter, and the temperature rises
to 87°C. The calorimeter contains 254 g of water, which has a specific heat
of 4.18 J/(g.°C). Calculate the enthalpy change during this reaction. *

Respuesta :

Answer: The enthalpy change during this reaction is 77505.56 J.

Explanation:

Given: [tex]T_{1} = 14^{o}C[/tex],         [tex]T_{2} = 87^{o}C[/tex]

Mass = 254 g,       Specific heat = [tex]4.18 J/g^{o}C[/tex]

Formula used to calculate the enthalpy change is as follows.

[tex]q = m \times C \times (T_{2} - T_{1})[/tex]

where,

q = enthalpy change

m = mass of substance

C = specific heat capacity

[tex]T_{1}[/tex] = initial temperature

[tex]T_{2}[/tex] = final temperature

Substitute the values into above formula as follows.

[tex]q = m \times C \times (T_{2} - T_{1})\\= 254 g \times 4.18 J/g^{o}C \times (87 - 14)^{o}C\\= 77505.56 J[/tex]

Thus, we can conclude that the enthalpy change during this reaction is 77505.56 J.