Given the Following Equilibrium Equations Calculate K for the Decomposition of Dinitrogen Tetraoxide to Nitrogen

question 26

Multiple Choice

Given the following equilibrium equations, $\begin{array}{ll}2 \mathrm{~N}_{2} \mathrm{O}(g) \rightleftharpoons 2 \mathrm{~N}_{2}(g) +\mathrm{O}_{2}(g) & K_{1}=8.3 \times 10^{34} \\\mathrm{~N}_{2} \mathrm{O}_{4}(g) \rightleftharpoons 2 \mathrm{NO}_{2}(g) & K_{2}=4.6 \times 10^{3} \\2 \mathrm{NO}_{2}(g) \rightleftharpoons \mathrm{N}_{2}(\mathrm{~g}) +2 \mathrm{O}_{2}(g) & K_{3}=5.9 \times 10^{16}\end{array}$
Calculate K for the decomposition of dinitrogen tetraoxide to nitrogen dioxide and oxygen.
$2 \mathrm{~N}_{2} \mathrm{O}_{4}(g) \rightleftharpoons 2 \mathrm{~N}_{2} \mathrm{O}(g) +3 \mathrm{O}_{2}(g)$ $\quad$ $\quad$ $\quad$ $K_{4}=?$

• A) 1.1 × 10−⁴¹
• B) 1.3 × 10−²⁰
• C) 8.9 × 10−⁷
• D) 3.3 × 10²¹
• E) 2.3 × 10⁴⁹

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Definitions:

Safety Stock

Additional inventory kept to prevent stockouts caused by fluctuations in demand or supply chain delays.

Reorder Point

A specific stock level that triggers the need to order more inventory to prevent stockouts, calculated by considering the lead time demand and safety stock.

Holding Cost Rate

The cost associated with keeping inventory in stock, including storage, insurance, and opportunity costs.

Standard Deviation

A statistical measurement that quantifies the variability or dispersion of a set of data points from its mean.