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AP Chemistry
7.9 Introduction to Le Châtelier’s Principle
7.4 Calculating the Equilibrium Constant
7.3 Reaction Quotient and Equilibrium Constant
AdvancedMCQMathematicalConceptual21.3k
A sample of \(\text{N}_2\text{O}_4(g)\) is placed in a rigid, sealed container and allowed to decompose according to the equation below.

\[ \text{N}_2\text{O}_4(g) \rightleftharpoons 2\,\text{NO}_2(g) \]

The reaction is allowed to reach equilibrium at two different temperatures. The equilibrium partial pressures of each gas at both temperatures are recorded in the table below.

Temperature\(P_{\text{N}_2\text{O}_4}\) (atm)\(P_{\text{NO}_2}\) (atm)
\(300\text{ K}\)\(4.0\)\(2.0\)
\(400\text{ K}\)\(0.50\)\(4.0\)

Based on the data, which of the following correctly identifies the sign of \(\Delta H^\circ\) for the forward reaction and provides the correct justification using the equilibrium constant, \(K_p\)?

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