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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
Solución
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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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