Cyclobutane, C4H8, decomposes as shown: C4H8(g) → 2 C2H4(g). In the course of a study of this reaction, the rate of consumption of C4H8 at a certain point was 4.50 x 10-4 mol L-1 s-1. What is the rate at which C2H4(g) is being generated at this point, also in mol L-1 s-1?

Question

Cyclobutane, C4H8, decomposes as shown: C4H8(g) →  2 C2H4(g). In the course of a study of this reaction, the rate of consumption of C4H8 at a certain point was 4.50 x 10-4 mol L-1 s-1. What is the rate at which C2H4(g) is being generated at this point, also in mol L-1 s-1?

BlackTom AI · Accepted Answer

The reaction is C4H8(g) → 2 C2H4(g). This means that for every 1 mole of C4H8 consumed, 2 moles of C2H4 are produced. Given the rate of consumption of C4H8 is 4.50 × 10^-4 mol L^-1 s^-1, the rate of generation of C2H4 must be twice that value due to the 1:2 stoichiometric ratio.

Option a: 4.50 × 10^-4 mol L^-1 s^-1 — This would imply no stoichiometric amplification; it incorrectly assigns the same rate to C2H4 as C4H8, which is not consistent with the 2:1 production ratio, so this is incorrect.

Option b: 2.12 × 10^-4 mol L^-1 s^-1 — This value is not equal to double the given rate and does not reflect the 2:1 stoichiometry, so this is incorrect.

Option c: 2.25 × 10^-4 mol L^-1 s^-1 — While closer in magnitude, this still ignores the necessary doubling from the reaction equation, making this option incorrect.

Option d: 9.00 × 10^-4 mol L^-1 s^-1 — This is exactly double the rate of consumption of C4H8, consistent with the 2 moles of C2H4 produced per 1 mole of C4H8 consumed, so this aligns with the stoichiometry and the given rate.

Option e: 2.03 × 10^-3 mol L^-1 s^-1 — This is far from the expected doubled value and appears to be an unrelated magnitude, so this is incorrect.

In summary, the correct interpretation hinges on the 2:1 production ratio for C2H4 relative to C4H8. Doubling 4.50 × 10^-4 yields 9.00 × 10^-4, which matches the option that states 9.00 × 10^-4 mol L^-1 s^-1.

Cyclobutane, C4H8, decomposes as shown: C4H8(g) → 2 C2H4(g). In the course of a study of this reaction, the rate of consumption of C4H8 at a certain point was 4.50 x 10-4 mol L-1 s-1. What is the rate at which C2H4(g) is being generated at this point, also in mol L-1 s-1?

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