University Physics with Modern Physics (14th Edition)

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

Chapter 19 - The First Law of Thermodynamics - Problems - Exercises - Page 645: 19.66

Answer

(a) $V = 0.21 m^3$

Work Step by Step

The mole of the gas is the same on Nitrogen and Oxygen $n = \frac{m}{M} $ $n = \frac{1700 g}{44 g/mol} $ $n = 38.6 mol$ Total pressure must be added with atmospheric pressure $p = 50 psi + 14.7 psi$ $p = 64.7 psi$ Now change to atm $p = (64.7 psi )(6895 atm/psi)$ $p =4.46 \times 10^5 atm$ $V = nRT/p$ $V = \frac{(38.6 mol)(8.3145 J/mol.K)(293 K) }{4.46 \times 10^5 atm} $ $V = 0.21 m^3$ which is choice (a)
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