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A 0.500 kg aluminum pan on a stove is used to heat 0.250 liters of water from 20.0°C to 80.0°C. How much heat is required?

A 0.500 kg aluminum pan on a stove is used to heat 0.250 liters of water from 20.0°C to 80.0°C. How much heat is required?

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**Heat Calculation Problem** **Objective:** Determine the amount of heat required to heat water using an aluminum pan. **Problem Statement:** A 0.500 kg aluminum pan on a stove is used to heat 0.250 liters of water from 20.0°C to 80.0°C. How much heat is required? **Explanation:** To solve this problem, the concept of specific heat and heat transfer will be used. The total heat required is the sum of the heat to raise the temperature of the water and the aluminum pan. The formula for calculating heat (Q) is: \[ Q = mc\Delta T \] Where: - \( m \) is the mass (in kg or compatible units), - \( c \) is the specific heat capacity (J/kg·°C or compatible units), - \( \Delta T \) is the change in temperature (°C). Next steps involve calculating the heat for both the water and the aluminum separately and then summing these values to find the total heat required.
Transcribed Image Text:**Heat Calculation Problem** **Objective:** Determine the amount of heat required to heat water using an aluminum pan. **Problem Statement:** A 0.500 kg aluminum pan on a stove is used to heat 0.250 liters of water from 20.0°C to 80.0°C. How much heat is required? **Explanation:** To solve this problem, the concept of specific heat and heat transfer will be used. The total heat required is the sum of the heat to raise the temperature of the water and the aluminum pan. The formula for calculating heat (Q) is: \[ Q = mc\Delta T \] Where: - \( m \) is the mass (in kg or compatible units), - \( c \) is the specific heat capacity (J/kg·°C or compatible units), - \( \Delta T \) is the change in temperature (°C). Next steps involve calculating the heat for both the water and the aluminum separately and then summing these values to find the total heat required.
Expert Solution
Introduction:
  • Heat transfer depends on three factors, the mass of the system, temperature change, and substance undergoing temperature change. The amount of heat transferred into a substance will be equal to the change in its internal energy and proportional to the mass and temperature change.

 

  • The heat transfer is then given by,

Q=mcΔT

Here m is the mass of the substance, c is the specific heat of the substance, and ΔT is the change in temperature. Specific heat is the amount of heat that is required to change the temperature of a 1 kg mass by 1oC.

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