Answer :

Taking into account the definition of calorimetry, the heat change that would take place as 25.7 g of liquid Ethyl alcohol are cooled from 55.2 °C to 30 °C is -1554.336 J.

Calorimetry

Calorimetry is the measurement and calculation of the amounts of heat exchanged by a body or a system.

Sensible heat is defined as the amount of heat that a body absorbs or releases without any changes in its physical state (phase change).

So, the equation that allows to calculate heat exchanges is:

Q = c× m× ΔT

where Q is the heat exchanged by a body of mass m, made up of a specific heat substance c and where ΔT is the temperature variation.

Heat change

In this case, you know:

  • Mass= 25.7 g
  • Initial temperature= 55.2 °C
  • Final temperature= 30 ºC
  • Specific heat= 2.40 [tex]\frac{J}{gC}[/tex]

Replacing in the expression to calculate heat exchanges:

Q= 2.40 [tex]\frac{J}{gC}[/tex]× 25.7 g× (30 °C - 55.2 °C)

Solving:

Q= -1554.336 J

Finally, the heat change that would take place as 25.7 g of liquid Ethyl alcohol are cooled from 55.2 °C to 30 °C is -1554.336 J.

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