Question

In: Chemistry

Determine whether each of the following statements is true or false. If the statement is false,...

Determine whether each of the following statements is true or false. If the statement is false, modify and rewrite it so that it is a true statement.

a. When a molecule has two, degenerate, “infrared active”, vibrational modes, the two vibrational modes will show absorptions at different frequencies in the infrared spectrum.

b. For a given substance, strong intermolecular forces between molecules of the substance can cause peak broadening of some of the absorptions in the infrared spectrum of the substance.

Solutions

Expert Solution

a. When a molecule has two, degenerate, “infrared active”, vibrational modes, the two vibrational modes will show absorptions at different frequencies in the infrared spectrum.

Answer: False

Reason: Vibrations with same frequency are said to be doubly degenerate (two, degenerate), they are identical in frequency but in perpendicular directions and these multiple vibrations only result in one infrared absorption band being seen in the spectrum.

rewritten: When a molecule has two, degenerate, “infrared active”, vibrational modes, the two vibrational modes will show absorptions at one frequency in the infrared spectrum.

b. For a given substance, strong intermolecular forces between molecules of the substance can cause peak broadening of some of the absorptions in the infrared spectrum of the substance.

answer: True

Reason: Let us consider methanol, ethanol, water - all will show a broad peak around ~ 3200-3600 cm-1 in the infrared spectrum for O-H stretching frequency. The broadening is due to the presence of intermolecular force hydrogen bonding. Hydrogen bonding lowers the wavelength of absorption maximum than free O-H stretching frequency.

Thank You! Please click on "Thumbs Up" icon to support me if this answer helped you.


Related Solutions

For each of the following statements, determine whether the statement is true or false. If you...
For each of the following statements, determine whether the statement is true or false. If you say the statement is true, explain why and if you say it is false, give an example to illustrate. (a) If {u, v} is a linearly independent set in a vector space V, then the set {2u + 3v, u + v} is also a linear set independent of V. (b) Let A and B be two square matrices of the same format. Then...
True or false: For each of the statements, determine whether it is true or false, then...
True or false: For each of the statements, determine whether it is true or false, then explain in a few sentences why that is the answer. Note: no marks will be given for answers that do not include an explanation. 1. If money stops being a reliable store of value, then it ceases to be useful as a medium of exchange. 2. The gold standard is an improvement over actual gold coinage because it allows the government/central bank to control...
True or False questions. Determine whether or not each of the following statements is true. If...
True or False questions. Determine whether or not each of the following statements is true. If a statement is true, prove it. If the statement is false, provide a counterexample and explain how it constitutes a counterexample. Diagrams can be useful in explaining such things. a) If the electric potential in a certain region of space is constant, then the charge enclosed by any closed surface completely contained within that region is zero. b) A sphere of radius R is...
True or False questions. Determine whether or not each of the following statements is true. If...
True or False questions. Determine whether or not each of the following statements is true. If a statement is true, prove it. If the statement is false, provide a counterexample and explain how it constitutes a counterexample. Diagrams can be useful in explaining such things. 1. A sphere of radius R is centered at the origin. A total charge Q is uniformly distributed throughout its interior. A ball of radius R/2 centered at the the origin is carved out and...
PROBLEM #1:TRUE of FALSE For each of the following statements, determine whether it is true or...
PROBLEM #1:TRUE of FALSE For each of the following statements, determine whether it is true or false. Label “T” if it is true, otherwise label “F”. 1-a. If two distributions have the same moment-generating function, then they are identical at almost all points. For a random variable X, if its moments of order k (k > 0) exist, then its moment generating function is continuously differentiable up to order k. 1-b. LetXbearandomvariablewiththeprobabilitydensityfunctionp(x)=ca/(a+x2) where c, a are positive constants and a...
Determine whether each of the following statements is True or False. If True, write a proof....
Determine whether each of the following statements is True or False. If True, write a proof. If False, exhibit a counterexample. 1) If m, n are arbitrary positive integers, then any system of form x ≡ a (mod m) x ≡ b (mod n) has a solution. 2) If m, n are arbitrary positive integers and the system x ≡ a (mod m) x ≡ b (mod n)     has a solution, then the solution is unique modulo mn. Modern Abstract...
Determine whether each of the following statements is True or False. If True, write a proof....
Determine whether each of the following statements is True or False. If True, write a proof. If False, exhibit a counterexample. 1) If m, n are arbitrary positive integers, then any system of form x ≡ a (mod m) x ≡ b (mod n) has a solution. 2) If m, n are arbitrary positive integers and the system x ≡ a (mod m) x ≡ b (mod n) has a solution, then the solution is unique modulo mn. Modern Abstract...
Determine whether each statement is true or false. If it is true, prove it. If it...
Determine whether each statement is true or false. If it is true, prove it. If it is false, give a counterexample. a) For every function f : X → Y and all A ⊆ X, we have f^−1 [f[A]] = A. (b) For every function f : X → Y and all A ⊆ X, we have f[X \ A] = Y \ f[A]. (c) For every function f : X → Y and all A, B ⊆ Y ,...
For each of the statements in Section A, determine whether it is true or false, then...
For each of the statements in Section A, determine whether it is true or false, then explain in a few sentences why that is the answer. Note: no marks will be given for answers that do not include an explanation. 1. If money stops being a reliable store of value, then it ceases to be useful as a medium of exchange. 2. The gold standard is an improvement over actual gold coinage because it allows the government/central bank to control...
For each of the following statements, determine whether it is true or false and justify your...
For each of the following statements, determine whether it is true or false and justify your answer. a. Every function f : [0, 1] ~ lR has a maximum. b. Every continuous function f :[a, b] ~ lR has a minimum. c. Every continuous function f : (0, 1) ~ lR has a maximum. d. Every continuous function f : (0, 1) ~ lR has a bounded image. e. If the image of the continuous function f: (0, 1) ~...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT