General, Organic, and Biological Chemistry: Structures of Life (5th Edition)

Published by Pearson
ISBN 10: 0321967461
ISBN 13: 978-0-32196-746-6

Chapter 8 - Gases - Additional Questions and Problems - Page 319: 8.85

Answer

There are 81.0 g of $CO_2$ in these conditions.

Work Step by Step

According to the ideal gas law: $$PV = nRT$$ 1. Choose a $R$ that has the most appropriate measurements: Since the volume is in L, and the pressure in atm, the most appropriate R is: $R = 0.0821 \space atm \space L \space mol^{-1} \space K^{-1}$ $T/K = 5 + 273 = 278$ 2. Solving for $n$ in the ideal gas law: $$n = \frac{PV}{RT} = \frac{(1.20 \space atm)(35.0 \space L)}{(0.0821 \space atm \space L \space mol^{-1} \space K^{-1})(278 \space K)}$$ $$n = 1.84 \space mol$$ 3. The molar mass of $CO_2$ is: $$M(CO_2) = 12.0 \space g/mol + 2*16.0 \space g/mol = 44.0 \space g/mol$$ $$m = n \times M = 1.84 \space mol \times 44.0 \space g/mol = 81.0 \space g$$
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