University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 18 - Thermal Properties of Matter - Problems - Exercises - Page 610: 18.1

Answer

(a) 0.122 mol (b) 0.145 atm

Work Step by Step

For (a): We know that 4 g of He make 1 mol. $\implies$ 1 g of He is $\frac{1}{4}$ mol. $\implies (4.86 \times 10^ {-4}) $ g of He make $\frac{4.86 \times 10^-4}{4} = 0.122$ mol. For (b): Using $pV = nRT$, $p = \frac{nRT}{V} = \frac{(0.122)(8.3145)(291)}{20 \times 10^{-3}} = 1.47 \times 10^4 Pa = 0.145$ atm.
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