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How much energy is required to raise the temperature of 0.2 kg of aluminum from 15^circ C to 18^circ C ? (Refer to table of specific heat values.) A. 179J B. 600J C. 538J D. 5382J

Problemas

How much energy is required to raise the temperature of 0.2 kg of aluminum
from 15^circ C to 18^circ C ? (Refer to table of specific heat values.)
A. 179J
B. 600J
C. 538J
D. 5382J

How much energy is required to raise the temperature of 0.2 kg of aluminum from 15^circ C to 18^circ C ? (Refer to table of specific heat values.) A. 179J B. 600J C. 538J D. 5382J

Solución

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Carlosmaestro · Tutor durante 5 años
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To solve this problem, we need to use the formula for calculating the amount of energy required to change the temperature of a substance:<br /><br />Q = m × c × ΔT<br /><br />Where:<br />- Q is the amount of energy required (in joules)<br />- m is the mass of the substance (in kilograms)<br />- c is the specific heat capacity of the substance (in joules per kilogram per degree Celsius)<br />- ΔT is the change in temperature (in degrees Celsius)<br /><br />Given information:<br />- Mass of aluminum (m) = 0.2 kg<br />- Initial 15°C<br />- Final temperature = 18°C<br />- Change in temperature (ΔT) = 18°C - 15°C = 3°C<br /><br />The specific heat capacity of aluminum is approximately 900 J/kg°C.<br /><br />Substituting the values into the formula:<br /><br />Q = 0.2 kg × 900 J/kg°C × 3°C<br />Q = 540 J<br /><br />Therefore, the correct answer is C. 538J.
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