Which of the following reaction proceeds nearly to completion?
Reaction
A) \(N_{2(g)} + O_{2(g)}\rightleftharpoons 2NO_{(g)}\) at 298 K \(4.8\times 10^{-3}\)
B) \(H_{2(g)} + Cl_{2(g)}\rightleftharpoons 2HCl_{(g)}\) at 300 K \(4.0\times 10^{31}\)
C) Decomposition of \(H_{2}O\) into \(H_{2}\) and \(O_{2}\) at 500 K \(4.1\times 10^{-48}\)
D) Reaction of \(H_{2}\) with \(I_{2}\) to give HI at 700 K 57.0
E) Gas phase decomposition of \(N_{2}O_{4}\) to \(NO_{2}\) at 298K \(4.64\times 10^{-3}\)
\(K_c >> 1\) means equilibrium lies far to the right. \(K_c << 1\) means equilibrium lies far to the left.
Step 1: Understanding the Concept:
A reaction proceeds nearly to completion if the equilibrium constant \(K_c\) is very large (\(>> 1\)).
Step 2: Detailed Explanation:
Among the given values: \(4.0 \times 10^{31}\) is extremely large, indicating products are strongly favored.
\(K_c = 57\) is >1 but not ""nearly to completion"" compared to \(10^{31}\).
Other \(K_c\) values are \(<1\), favoring reactants.
Step 3: Final Answer:
Reaction B (H2 + Cl2 -> 2HCl) proceeds nearly to completion.
Kepler's second law (law of areas) of planetary motion leads to law of conservation of