Question

The specific heat of a substance is 0.215 J/g°C. How much energy is required to raise the temperature of 20 g of the substance from 72°C to 88°C?

Answer 1

Taking into account the definition of calorimetry and sensible heat, the amount of energy required is 68.8 J.

Calorimetry

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

Sensible heat

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

In this way, between heat and temperature there is a direct proportional relationship. The constant of proportionality depends on the substance that constitutes the body and its mass, and is the product of the specific heat by the mass of the body.

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.
• c is the specific heat substance.
• ΔT is the temperature variation.

Energy required in this case

In this case, you know:

• Q= ?
• c= 0.215 $\frac{J}{gC}$
• m= 20 g
• ΔT= Tfinal - Tinitial= 88 C - 72 C= 16 C

Replacing in the definition of sensible heat:

Q = 0.215 $\frac{J}{gC}$× 20 g× 16 C

Solving:

Q=68.8 J

Finally, the amount of energy required is 68.8 J.

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