216 joules of energy is required to raise the temperature of aluminum from 15 degrees Celsius to 35 degrees Celsius. Calculate the mass of aluminum.
Note: The specific heat capacity of aluminum is [tex]9.2 \times 10^2 \, \text{J/kg} \cdot \text{°C}[/tex].
Answer (2)
The mass of the aluminum is calculated using the formula Q = mcΔT, and with the given values, the mass is found to be 0.012 kilograms.
To calculate the mass of aluminum using the given heat energy and temperature change, we apply the formula
Q = mcΔT, where Q is the heat energy in joules, m is the mass in kilograms, c is the specific heat capacity in joules per kilogram per Celsius degree (J/kg°C), and ΔT is the temperature change in Celsius.
First, we identify the known quantities: Q = 216 J, ΔT = (35°C - 15°C) = 20°C, and the specific heat capacity of aluminum, c = 900 J/kg°C.
Now, we solve for m:
m = ( c Δ T ) Q m = ( 900 J / k g 0 CX 2 0 0 C ) 216 J m = 18000 J / k g 216 J m = 0.012 k g
Therefore, the mass of the aluminum is 0.012 kilograms.
To find the mass of aluminum that absorbs 216 joules of energy while its temperature rises from 15°C to 35°C, we use the heat transfer formula. After calculating, we find that the mass of aluminum is 0.012 kilograms (12 grams).
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