High School

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If the change in internal energy is 67 J, the mass is 13 kg, and the temperature change is 24°C, what is the specific heat capacity?

Answer :

The specific heat capacity is approximately 0.215 J/(kg·°C).

To find the specific heat capacity, we can use the formula:

Q = mcΔT

where:

  • Q is the heat added or removed (67 J)
  • m is the mass (13 kg)
  • c is the specific heat capacity
  • ΔT is the temperature change (24°C)

Rearranging the formula to solve for the specific heat capacity (c):

c = Q / (mΔT)

Substituting the given values:

c = 67 J / (13 kg * 24°C)

c ≈ 0.215 J/(kg·°C)

Thus, the specific heat capacity is approximately 0.215 J/(kg·°C).

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