MCAT General Chemistry Question 254: Answer and Explanation

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Question: 254

3. Assuming their reduced masses are the same, which molecule will have the highest energy of vibration in the v = 0 state?

A. N₂
B. O₂
C. F₂
D. Cannot be determined from the information given.

Correct Answer: A

Explanation:

A If v = 0 and h and u are constant, the equation for vibration energy reduces as follows:

The energy of the ground state is proportional to the square root of the force constant k. The passage states that k is larger for stronger bonds, and the bond in N₂ is strongest since it has the highest bond energy (see Table 1). N₂ must have the highest vibrational energy in the ground state.

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