Chemistry: An Introduction to General, Organic, and Biological Chemistry (12th Edition)

Published by Prentice Hall
ISBN 10: 0321908449
ISBN 13: 978-0-32190-844-5

Chapter 8 - Section 8.3 - Temperature and Volume (Charles's Law) - Questions and Problems - Page 265: 8.25b

Answer

$-129^{\circ}$C

Work Step by Step

$V_{1}= 2.50\,L$ $T_{1}=(15+273)=288\,K$ $V_{2}=1250\,mL=1.250\,L$ According to Charles's law, $\frac{V_{1}}{T_{1}}=\frac{V_{2}}{T_{2}}$ $\implies T_{2}=\frac{V_{2}T_{1}}{V_{1}}=\frac{1.250\,L\times288\,K}{2.50\,L}=144\,K$ $=(144-273)^{\circ}C=-129^{\circ}C$
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