Internal energy and energy transfers

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Question 37
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A sample of high-purity solid gallium is retrieved from a cold storage unit at an initial temperature of 11.8 ∘C11.8\ ^\circ\text{C}11.8 ∘C. It is placed in a specialized crucible and heated until it has completely melted into a liquid at its melting point of 29.8 ∘C29.8\ ^\circ\text{C}29.8 ∘C.

The total thermal energy required to heat the gallium to its melting point and completely melt it is 13 014 J13\,014\text{ J}13014 J.

Given:

  • Specific heat capacity of solid gallium = 370 J/(kg ∘C)370\text{ J}/(\text{kg}\ ^\circ\text{C})370 J/(kg ∘C)
  • Specific latent heat of fusion of gallium = 8.01×104 J/kg8.01 \times 10^4\text{ J}/\text{kg}8.01×104 J/kg

Calculate the mass of the gallium sample in kilograms.

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Internal energy and energy transfers Questions

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