Physical Chemistry: Thermodynamics, Structure, and Change

Published by W. H. Freeman
ISBN 10: 1429290196
ISBN 13: 978-1-42929-019-7

Chapter 6 - Topic 6A - The equilibrium constant - Exercises - Page 272: 6A.1(a)

Answer

The amounts of $A=0.90 \space mol$ and of $B=1.20 \space mol$.

Work Step by Step

Let us consider a reaction $A \to 2B$ Case I: To find $A$. We are given that the data as follows: Initial moles; $n_{A0}=1.50 mol$ and Extent for a reaction $\triangle \xi = 0.60 mol$ Now, $n_{A}=n_{A0} -v_{A} \triangle \xi$ Plug in the data . $n_{A}=1.50 mol -0.60 mol=0.90 \space mol$ Case 2: To find $B$. We are given that the data as follows: Initial moles; $n_{B0}=0 \space mol$ and Extent for a reaction $\triangle \xi = 0.60 mol$ Now, $n_{B}=n_{B0} -v_{B} \triangle \xi$ Plug in the data . $n_{B}=0 mol +2(0.60 mol)=1.20 \space mol$ Therefore, the amounts of $A=0.90 \space mol$ and of $B=1.20 \space mol$.
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