WHAT FORMULA DO YOU USE TO WHEN YOU NEED TO GET THE TEMP. OF Al TO 100C. IF THE Al IS 2.5KG AND ITS STARING TEMP. IS 70C.
To determine the formula required to calculate the temperature change, we need to use the specific heat capacity formula. The specific heat capacity (c) of a substance is the amount of heat energy required to raise the temperature of a unit mass of that substance by 1 degree Celsius.
The formula for calculating the heat transfer (Q) is:
Q = mcΔT
Where:
Q = Heat transfer (in joules)
m = Mass of the substance (in kilograms)
c = Specific heat capacity of the substance (in joules per kilogram per degree Celsius)
ΔT = Change in temperature (in degrees Celsius)
In this case, you want to find the formula to calculate the temperature increase of Aluminum (Al) from 70°C to 100°C with a mass of 2.5 kg.
We need to know the specific heat capacity of Aluminum to complete the calculation. The value for the specific heat capacity of Aluminum is approximately 0.9 J/g°C or 900 J/kg°C.
To convert the mass of Aluminum from grams to kilograms, we multiply it by 1000. Thus, 2.5 kg is equivalent to 2500 grams.
Now, we can substitute the values into the formula:
Q = mcΔT
Q = (2500 g) × (0.9 J/g°C) × (100°C - 70°C)
Simplifying the equation:
Q = 2500 g × 0.9 J/g°C × 30°C
Q = 2500 g × 0.9 J/g°C × 30°C = 67500 J
Therefore, to heat 2.5 kg of Aluminum from 70°C to 100°C, it would require a heat transfer of 67500 Joules.