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Calculate the magnitude of the heat absorbed by the solution during the dissolution process, assuming that the specific heat capacity of the solution is 4.18 J/(g•°C). Include units with your answer.

A) 870 J
B) 1864 J
C) 320 J
D) 1512 J

1 Answer

2 votes

Final answer:

The heat absorbed by the solution during dissolution, the specific heat formula q = mcΔT is used. The calculated value using the given temperature change and solution mass is 5101.0472 J, which does not match any of the provided multiple-choice options, suggesting a possible error in the question.

Step-by-step explanation:

To calculate the magnitude of the heat absorbed by the solution during the dissolution process, we must use the specific heat formula q = mcΔT, where q is the heat absorbed, m is the mass of the solution, c is the specific heat capacity, and ΔT is the change in temperature.


In this scenario, the change in temperature (ΔT) is given as (34.7°C - 23.0°C) = +11.7°C. The mass of the water (m) is given as 104.72 g, and we assume the specific heat capacity (c) is 4.18 J/(g°C) for the solution, which is the same as that of water.


Plugging these values into the formula:


q = mcΔT = (104.72 g)(4.18 J/g°C)(11.7°C)


q = (104.72)(4.18)(11.7)


q = 5101.0472 J


However, none of the given multiple-choice options (A, B, C, D) match this value, indicating there may be an error in the question or the provided options. Therefore, no option can be considered correct based on the calculations performed.

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