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A 235-gg sample of a substance is heated to 320 ∘C∘C and then plunged into a 105-gg aluminum calorimeter cup containing 175 gg of water and a 17-gg glass thermometer at 11.5 ∘C∘C. The final temperature is 35.0∘C∘C. The value of specific heat for aluminium is 900 J/kg⋅C∘J/kg⋅C∘ , for glass is 840 J/kg⋅C∘J/kg⋅C∘ , and for water is 4186 J/kg⋅C∘J/kg⋅C∘ .

User Charl
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Final answer:

This high school Physics question is about calculating heat transfer in a thermodynamics problem involving a thermally insulated system comprising an aluminum calorimeter, a glass thermometer, and water. The concept of specific heat is crucial in solving this problem by finding the equilibrium final temperature.

Step-by-step explanation:

The subject of this question is Physics, specifically focusing on thermodynamics. The scenario involves calculating the final temperature after a hot substance is submerged in water within an aluminum calorimeter cup, and includes the use of a thermometer. To determine the final temperature, we would apply the principle of conservation of energy, where the heat lost by the hot substance equals the heat gained by the water, aluminum calorimeter, and the glass thermometer. Each material has a specific heat value which factors into these calculations, with water having a relatively high specific heat, especially in comparison to metals like aluminum and substances like glass.

To calculate the amount of heat transfer, we would use the formula Q = mc∆T, where 'Q' is the heat energy, 'm' is the mass, 'c' is the specific heat, and '∆T' is the change in temperature. The sum of heats for the hot substance, water, aluminum, and glass must be zero in a closed system. Here are the specific heat values provided:

  • Water: 4186 J/kg·°C or 4.186 J/g·°C
  • Aluminum: 900 J/kg·°C or 0.900 J/g·°C
  • Glass: 840 J/kg·°C or 0.840 J/g·°C

By using these values in the aforementioned heat transfer formula for each component and setting the sum of heats equal to zero, we can solve for any missing variables, such as the initial temperature of the hot substance or the specific heat of the substance if it is unknown. This type of problem is common in high school and introductory college Physics courses.

User Dave Bush
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