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
Expert's answer
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=mcΔTQ=m\cdot c \cdot \Delta T

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

for Copper:


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

then


ΔT=Qmc=1200J50g0.386JgC62.2C\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=25.0C+ΔT=25.0C+62.2C=87.2CT=25.0^\circ C+\Delta T=25.0^\circ C+62.2^\circ C=87.2^\circ C

Answer: 87.2C87.2^\circ C


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment