Gas Laws: Boyle's, Charles's, Avogadro's, Ideal Gas Law

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Questions and Answers

Which of the following factors contributes to the stabilization of biomolecules in an aqueous solution?

  • The solvation shell of hydrogen-bonded water. (correct)
  • Weakening of van der Waals forces.
  • Decreased hydrophobic interactions
  • Increased entropy of solute molecules.

In enzyme catalysis, what is the role of the enzyme's active site?

  • To provide a surface for the proper alignment of catalytic functional groups. (correct)
  • To increase the entropy of reactants.
  • To permanently bind to the substrate.
  • To destabilize the transition state.

What is the significance of the Lineweaver-Burk plot in enzyme kinetics?

  • It plots the reaction rate versus substrate concentration directly.
  • It is used to determine the reaction equilibrium constant.
  • It allows for the determination of $K_m$ and $V_{max}$ from a double reciprocal of the Michaelis-Menten equation. (correct)
  • It directly gives the Michaelis-Menten constant ($K_m$) values.

Which amino acid possesses a positively charged side chain at physiological pH?

<p>Lysine (B)</p>
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Which amino acid is classified as nonpolar?

<p>Alanine (D)</p>
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Which of the following amino acids is classified as aromatic?

<p>Tryptophan (C)</p>
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Which amino acid is classified as basic?

<p>Lysine (C)</p>
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Which amino acid contains a sulfur atom in its side chain but is still considered nonpolar?

<p>Methionine (A)</p>
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Considering the properties of amino acids, which of the following is most likely to be found on the surface of a protein in an aqueous environment?

<p>Glutamine (C)</p>
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Which of the following is considered an acidic amino acid?

<p>Aspartic acid (C)</p>
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Which of the following pair of amino acids can form a disulfide bond?

<p>Cysteine and Cysteine (C)</p>
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What structural feature primarily determines whether an amino acid is classified as polar, nonpolar, acidic, or basic?

<p>The properties of the amino acid side chain. (D)</p>
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Which amino acid would most likely be found in the transmembrane domain of a protein?

<p>Valine (C)</p>
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Which statement best describes the behavior of polar amino acids in an aqueous solution?

<p>They readily interact with water molecules via hydrogen bonds. (B)</p>
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Which amino acid is known to disrupt alpha-helices due to its unique cyclic structure?

<p>Proline (D)</p>
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In a protein, which amino acid is capable of forming a covalent cross-link that stabilizes the protein's tertiary structure?

<p>Cysteine (D)</p>
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How does the binding of a substrate to an enzyme's active site affect the enzyme's conformation?

<p>It induces a conformational change in the enzyme. (C)</p>
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Which amino acid is neither distinctly hydrophobic nor hydrophilic, and often plays a critical role in protein folding?

<p>Glycine (D)</p>
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Which of the following explains why histidine is often found in the active sites of enzymes?

<p>The imidazole side chain of histidine can act as either a proton donor or acceptor near physiological pH. (D)</p>
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Flashcards

Entropy of molecules in solution

Entropy refers to the measure of disorder or randomness of molecules in a solution.

Solvation shell

This refers to the layer of hydrogen-bonded water molecules surrounding solutes in an aqueous solution, helping to stabilize the solution's components.

Substrate binding

The process where substrates bind to the active site of an enzyme, facilitating a chemical reaction.

Catalytic alignment

Enzymes need proper alignment of catalytic functional groups to catalyze reactions efficiently, helping to lower activation energy.

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Lineweaver-Burk Equation

A double reciprocal graph used in enzyme kinetics to determine the Km and Vmax values; the equation is: 1/Vo = (Km + S)/Vmax*S + 1/Vmax

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Nonpolar amino acids

Amino acids with nonpolar side chains are hydrophobic and tend to cluster in the interior of proteins.

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Polar amino acids

Amino acids with polar side chains that can form hydrogen bonds but are not charged at physiological pH.

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Aromatic amino acids

Amino acids that contain aromatic rings in their side chains.

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Basic amino acids

Amino acids that have positively charged side chains at physiological pH.

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Acidic amino acids

Amino acids that have negatively charged side chains at neutral pH.

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Unpolar amino acids

Amino acids with side chains that do not carry a charge.

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Study Notes

Gas Pressure

  • Pressure is defined as force exerted per unit area.
  • Pressure = Force / Area
  • The pascal (Pa) is the SI unit of pressure.
  • 1 Pa equals 1 N/m².
  • A barometer measures atmospheric pressure.

The Gas Laws

Boyle's Law

  • The volume of a gas is inversely proportional to its pressure.
  • V ∝ 1/P
  • P₁V₁ = P₂V₂

Charles's Law

  • The volume of a gas is directly proportional to its temperature.
  • V ∝ T
  • V₁/T₁ = V₂/T₂

Avogadro's Law

  • The volume of a gas is directly proportional to the number of moles.
  • V ∝ n
  • V₁/n₁ = V₂/n₂

The Ideal Gas Law

Ideal Gas Law Equation

  • PV = nRT
  • R = 0.08206 (L·atm) / (mol·K)
  • R = 8.314 J / (mol·K)

Standard Temperature and Pressure (STP)

  • T = 0°C = 273.15 K
  • P = 1 atm = 101.325 kPa
  • Vₘ = 22.4 L/mol

Applications of the Ideal Gas Law

  • n = m/M where n is the number of moles, m is mass, and M is molar mass.
  • d = m/V where d is density, m is mass, and V is volume.
  • PV = (m/M)RT
  • P = (mRT) / (MV)
  • P = d(RT/M)
  • M = d(RT/P)

Gas Mixtures and Partial Pressures

  • Partial pressure is the pressure each gas contributes in a mixture.
  • P_T = P₁ + P₂ + P₃ + ...
  • Pᵢ = XᵢP_T
  • Xᵢ = nᵢ/n_T, where Xᵢ is the mole fraction.

Microscopic Model of Gases: The Kinetic Molecular Theory

  • Particle size is negligibly small.
  • Average kinetic energy is proportional to temperature in Kelvins.
  • Collisions between particles or with container walls are completely elastic.
  • KE = (3/2)RT, represents the average kinetic energy.
  • u_rms = √(3RT/M), represents the root mean square speed.

Gas Diffusion and Effusion

  • Diffusion is gas molecules spreading out in response to a concentration gradient.
  • Effusion is gas escaping a container through a small hole.
  • (Rate A) / (Rate B) = √(M_B / M_A)

Real Gases: Deviations from Ideal Behavior

  • Van der Waals Equation accounts for real gas behavior
  • [P + a(n/V)²](V − nb) = nRT

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