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The quantitative relationship between heat transfer and temperature change contains all three factors: Q = mcΔT, where Q is the symbol for heat transfer, m is the mass of the substance, and ΔT is the change in temperature. The symbol c stands for specific heat and depends on the material and phase.
When heat flows into (respectively, out of) a material, its temperature increases (respectively, decreases), in proportion to the amount of heat divided by the amount (mass) of material, with a proportionality factor called the specific heat capacity of the material.
The quantitative relationship between heat transfer and temperature change contains all three factors: Q = mc Δ T, where Q is the symbol for heat transfer, m is the mass of the substance, and Δ T is the change in temperature. The symbol c stands for specific heat and depends on the material and phase.
Learning Objectives. Define specific heat. Apply an equation to quantify the heat transfer that is associated with changing the temperature of a substance. The primary objective of this chapter is to quantify the amount of heat that is transferred during physical and chemical changes.
08:11. Open Transcript. Calculating thermal energy changes. The change in thermal energy due to temperature changes is calculated using this equation: change in thermal energy = mass ×...
Q = mcΔT, where Q is the symbol for heat transfer (“quantity of heat”), m is the mass of the substance, and ΔT is the change in temperature. The symbol c stands for the specific heat (also called “ specific heat capacity ”) and depends on the material and phase.
Heat capacity is the amount of heat necessary to change the temperature of a substance by 1.00 °C °C. In equation form, heat capacity C is C = m c C = m c, where m is mass and c is specific heat. Note that heat capacity is the same as specific heat, but without any dependence on mass.
We use the equation for the heat transfer for the given temperature change and mass of water and aluminum. The specific heat values for water and aluminum are given in Table 14.1 . Solution
Learning Objectives. Observe heat transfer and change in temperature and mass. Calculate final temperature after heat transfer between two objects. One of the major effects of heat transfer is temperature change: heating increases the temperature while cooling decreases it.
Use the equation for heat transfer[latex]\boldsymbol{Q=mc\Delta{T}}[/latex]to express the heat lost by the aluminum pan in terms of the mass of the pan, the specific heat of aluminum, the initial temperature of the pan, and the final temperature: