How much energy is required to raise the temperature of 2 kg of iron from 20°C to 23°C? (Refer to table of specific heat values.)A.2.7 JB.2700 JC.1.35 JD.900 J
Question
How much energy is required to raise the temperature of 2 kg of iron from 20°C to 23°C? (Refer to table of specific heat values.)A.2.7 JB.2700 JC.1.35 JD.900 J
Solution
To solve this problem, we need to use the formula for calculating heat energy:
Q = mcΔT
where: Q = heat energy m = mass c = specific heat ΔT = change in temperature
Given: m = 2 kg ΔT = 23°C - 20°C = 3°C
We also need the specific heat of iron, which is typically around 0.45 J/g°C. However, our mass is in kg, so we need to convert this to J/kg°C.
1 kg = 1000 g, so the specific heat of iron is 0.45 J/g°C * 1000 g/kg = 450 J/kg°C.
Now we can plug the values into the formula:
Q = (2 kg)(450 J/kg°C)(3°C) = 2700 J
So, the answer is B. 2700 J.
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