College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 11 - Heat - Learning Path Questions and Exercises - Exercises - Page 412: 12

Answer

(a) Mass of Lead is greater than mass of Copper. (b) $1.2$

Work Step by Step

(a) We kn ow that $m=\frac{q}{C\Delta T} $ The above equation shows that $m\propto\frac{1} {C\Delta T}$ For Copper $C_{cu}\Delta T_{cu}=0.38\times 5=1.925J/g$ And for Lead $C_{Pb}\Delta T_{Pb}=0.16\times 10=1.6J/g$ As we can see that $C_{Pb}\Delta T_{Pb}\lt C_{Cu}\Delta T_{Cu}$ Therefore $m_{Pb}\gt m_{Cu}$ (b) We know that $\frac{m_{Pb}}{m_{Cu}}=\frac{C_{Cu}\Delta T_{Cu}}{C_{Pb}\Delta T_{Pb}}$ We plug in the known values to obtain: $\frac{m_{Pb}}{m_{Cu}}=\frac{1.925J/g}{1.600J/g}=1.2$
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