Gce Model Questions Vol1 2018 Chemistry Question 2

Practice objective / multiple choice question 2 from the 2018 Gce Model Questions Vol1 Chemistry examination.

Gce Model Questions Vol1 2018 Chemistry Objective / Multiple Choice Medium Difficulty
Question 2 GCE_MODEL_QUESTIONS_VOL1 • 2018 • CHEMISTRY • objective

Diatomic molecule AB has a bond length of 120 pm and an infrared absorption at \(1000\ \text{cm}^{-1}\). The atomic masses are \(M_A = 12\) u and \(M_B = 16\) u. Using the harmonic oscillator model, the force constant \(k\) is given by \[k = (2\pi c \tilde{\nu})^{2}\mu,\] where \(c = 2.998\times10^{10}\ \text{cm s}^{-1}\), \(\tilde{\nu}\) is the wavenumber, and \(\mu\) is the reduced mass in kilograms. (a) Calculate \(k\) for AB (express your answer in N m\(^{-1}\) to two significant figures). (b) A related molecule CD has a measured force constant of \(5.0\times10^{2}\ \text{N m}^{-1}\). Which molecule is expected to have the higher bond order, AB or CD? Justify your answer.

Answer Options

A. (a) \\(k \\approx 4.0\\times10^{2}\\ \\text{N m}^{-1}\\). (b) AB has the higher bond order because its lighter atoms lead to stronger bond.
B. (a) \\(k \\approx 3.5\\times10^{2}\\ \\text{N m}^{-1}\\). (b) AB has the higher bond order because its force constant is larger.
Correct Answer C. (a) \(k \approx 4.0\times10^{2}\ \text{N m}^{-1}\). (b) CD has the higher bond order because its force constant is larger.
D. (a) \\(k \\approx 4.5\\times10^{2}\\ \\text{N m}^{-1}\\). (b) CD has the higher bond order because its force constant is larger, despite being similar.
Correct Answer
C
Correct Option:
(a) \(k \approx 4.0\times10^{2}\ \text{N m}^{-1}\). (b) CD has the higher bond order because its force constant is larger.

About This Question

This is Gce Model Questions Vol1 2018 Chemistry Question 2. It is one of the objective questions from the 2018 Gce Model Questions Vol1 Chemistry examination.

Difficulty level: Medium .

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