How much energy is required to raise the temperature of 3 kg of aluminum from 18C to 23C? Use the table below and this equation: Q = mcT.SubstanceSpecific Heat Capacity Liquid water4.186Ice2.11Air1.00Aluminum0.897Soil0.80Granite0.790Iron0.450Copper0.385Silver0.233Lead0.129A.2691 JB.4.485 JC.13.455 JD.13,455 JSUBMITarrow_backPREVIOUS
Question
How much energy is required to raise the temperature of 3 kg of aluminum from 18C to 23C? Use the table below and this equation: Q = mcT.SubstanceSpecific Heat Capacity Liquid water4.186Ice2.11Air1.00Aluminum0.897Soil0.80Granite0.790Iron0.450Copper0.385Silver0.233Lead0.129A.2691 JB.4.485 JC.13.455 JD.13,455 JSUBMITarrow_backPREVIOUS
Solution
To solve this problem, we need to use the formula Q = mcΔT, where:
Q = heat energy (Joules) m = mass (kg) c = specific heat capacity (Joules/kg°C) ΔT = change in temperature (°C)
Given in the problem: m = 3 kg (mass of aluminum) c = 0.897 J/kg°C (specific heat capacity of aluminum) ΔT = 23°C - 18°C = 5°C (change in temperature)
Substitute these values into the formula:
Q = mcΔT Q = 3 kg * 0.897 J/kg°C * 5°C Q = 13.455 J
So, the amount of energy required to raise the temperature of 3 kg of aluminum from 18°C to 23°C is 13.455 Joules. The correct answer is C.13.455 J.
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