How much heat is absorbed by 20g granite boulder as energy from the sun causes its temperature to change from 10°C to 29°C? The specific heat capacity of granite is 0.79 J/gºC.

Respuesta :

Given :

Mass of granite , m = 20 g .

Change in temperature , [tex]\Delta T=29-10=19^oC[/tex].

Specific heat capacity of granite , [tex]C=0.79\ J/g^oC[/tex] .

To Find :

The heat absorbed by granite .

Solution :

We know , heat absorb is given by :

[tex]\Delta H=mC\Delta T\\\\\Delta H=20\times 0.79 \times 19 \ J\\\\\Delta H=300.2\ J[/tex]

Therefore , heat absorb is 300.2 J .

Hence , this is the required solution .

Taking into account the definition of calorimetry, the heat absorbed is 300.2 J.

In first place, calorimetry is the measurement and calculation of the amounts of heat exchanged by a body or a system.

Sensible heat is the amount of heat exchanged by a body without affecting its molecular structure. If you don't change the molecular structure, you don't change the state of aggregation. Since the molecular structure does not change, a change in temperature is observed.

In other words, sensible heat is 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.

In this case:

  • Q= ?
  • c= 0.79[tex]\frac{J}{gC}[/tex]
  • m= 20 g
  • ΔT= Tfinal - Tinitial= 29 C - 10 C= 19 C

Replacing in the expression to calculate heat exchanges:

Q= 0.79[tex]\frac{J}{gC}[/tex]× 20 g× 19 C

Solving:

Q= 300.2 J

In summary, the heat absorbed is 300.2 J.

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