High School

An aluminum block of mass 12.00 kg is heated from 20°C to 118°C. If the specific heat of aluminum is 913 J kg⁻¹ K⁻¹, how much energy is required?

Answer :

Taking into account the definition of calorimetry, the energy required to heat the aluminum block is 1,073,688 J.

Definition of sensible heat

The quantity of heat that a body receives or releases without changing its physical state (phase change) is referred to as sensible heat. In other words, sensible heat is generated when heat is introduced or removed from a substance and causes a temperature change without changing its molecular structure.

The expression that allows to calculate heat exchanges is:

Q = c× m× ΔT

where:

  • Q is the heat exchanged by a body of mass m.
  • c is the specific heat substance.
  • ΔT is the temperature variation.

Energy required in this case

In this case, you know:

  • Q= ?
  • c= 913 J/kgK
  • m= 12 kg
  • ΔT= Tfinal - Tinitial= 118 °C - 20°C= 98 °C= 98 K Being a temperature difference the value is the same.

Replacing in the definition of sensible heat:

Q = 913 J/kgK× 12 kg× 98 K

Solving:

Q= 1,073,688 J

Finally, the energy required is 1,073,688 J.

Learn more about sensible heat:

brainly.com/question/12670283

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