the temperature of a 2.0-kg increases by 5*c when 2,000 J of thermal energy are added to the block. What is the specific heat of the block?

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Question:

the temperature of a 2.0-kg increases by 5*c when 2,000 J of thermal energy are added to the block. What is the specific heat of the block?

Answer:

Taking into account the definition of calorimetry, the specific heat of the block is 200 .

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

In this way, between heat and temperature there is a direct proportional relationship (Two magnitudes are directly proportional when there is a constant so that when one of the magnitudes increases, the other also decreases; and the same happens when either of the two decreases .).

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, made up of a specific heat substance c and where ΔT is the temperature variation.

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In this case:

  • Q= 2000 J
  • c= ?
  • m= 2 kg
  • ΔT= 5 C

Replacing in the expression to calculate heat exchanges:

2000 J= c× 2 kg× 5 C

Solving:

c= 200

In summary, the specific heat of the block is 200 .

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