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Answer to Question #191694 in Civil and Environmental Engineering for John Prats

Question #191694

A 50.0-g sample of copper is at 25.0°C. If 1 200 J of energy is added to it by heat, what is the final temperature of the copper?

1
2021-05-17T05:50:02-0400

The amount of heat energy Q needed to raise the temperature of a substance is proportional to

the temperature change and to the mass of the substance:

"Q=m\\cdot c \\cdot \\Delta T"

where c - the specific heat (the heat capacity per unit mass).

for Copper:

"c=0.386 \\frac{J}{g \\cdot K}=0.386 \\frac{J}{g \\cdot ^\\circ C}"

then

"\\Delta T=\\frac{Q}{m \\cdot c}=\\frac{1200J}{50g \\cdot 0.386 \\frac{J}{g \\cdot ^\\circ C}} \\approxeq 62.2 ^\\circ C"

The final copper temperature will be

"T=25.0^\\circ C+\\Delta T=25.0^\\circ C+62.2^\\circ C=87.2^\\circ C"

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