Reaction E(g) ⇌ F(g) is studied at

CHEMISTRY · Multi-part · A Level · Chemistry · Chemical equilibria (Le Chatelier’s principle and Kc) · Chemical equilibria (Le Chatelier’s principle and Kc)

Problem

Reaction E(g) ⇌ F(g) is studied at 298 K298\,\text{K}. The researcher provides a verbal description of the rate-versus-time graph: • From 0 s0\,\text{s} to 60 s60\,\text{s}: forward rate decreases linearly from 0.200 mol L−1 s−10.200\,\text{mol}\,\text{L}^{-1}\,\text{s}^{-1} to 0.120 mol L−1 s−10.120\,\text{mol}\,\text{L}^{-1}\,\text{s}^{-1}; reverse rate increases linearly from 0.000 mol L−1 s−10.000\,\text{mol}\,\text{L}^{-1}\,\text{s}^{-1} to 0.080 mol L−1 s−10.080\,\text{mol}\,\text{L}^{-1}\,\text{s}^{-1}. • From 60 s60\,\text{s} to 120 s120\,\text{s}: both rates change linearly such that forward rate falls from 0.120 mol L−1 s−10.120\,\text{mol}\,\text{L}^{-1}\,\text{s}^{-1} to 0.090 mol L−1 s−10.090\,\text{mol}\,\text{L}^{-1}\,\text{s}^{-1}, while reverse rate rises from 0.080 mol L−1 s−10.080\,\text{mol}\,\text{L}^{-1}\,\text{s}^{-1} to 0.090 mol L−1 s−10.090\,\text{mol}\,\text{L}^{-1}\,\text{s}^{-1}. • After 120 s120\,\text{s}: both rates remain constant and equal at 0.090 mol L−1 s−10.090\,\text{mol}\,\text{L}^{-1}\,\text{s}^{-1}. Respond to the prompts below. (1) Part 1: (a) Construct a clearly labeled sketch of the forward- and reverse-rate curves for 0 s≤t≤160 s0\,\text{s} \le t \le 160\,\text{s} that is consistent with the description provided. (A precise scale is not required, but the relative positions and slopes must be accurate.) (2) Part 2: (b) Divide the time axis into all distinct regions where the sign of the net rate of formation of F is constant, and state the sign for each region. Explain how you determined the boundaries of each region. (3) Part 3: (c) Using the slopes reported for 0 s≤t≤60 s0\,\text{s} \le t \le 60\,\text{s}, estimate the change in concentration of E that occurs during this interval. State any assumptions you make. (4) Part 4: (d) Suppose the initial amount of F in the reactor were doubled while all other conditions remained the same. Predict qualitatively how each of the two rate curves in part (a) would be altered, and discuss whether the time required to reach equilibrium would increase, decrease, or remain unchanged.

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