/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 11 Which one of the following equat... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Which one of the following equations is used to evaluate free energy changes in cells under physiological conditions? What makes it appropriate? (a) \(\Delta G=R T \ln K_{\mathrm{eq}}\). (b) \(\Delta G=\Delta G^{\prime \prime}+R T \ln [\) products \(][\) [reactants]. (c) \(\Delta G=R T \ln [\) products \(] /[\) reactants \(]\). (d) \(\Delta G=\Delta H-\mathrm{T} \Delta S\). (e) \(\Delta G=\Delta G^{\circ \prime}+R T\) [products] [ [reactants].

Short Answer

Expert verified
The appropriate equation is (b): \( \Delta G = \Delta G^{\prime \prime} + R T \ln [\text{products}][\text{reactants}] \).

Step by step solution

01

Understand the Context

In cell biology and biochemistry, we are often interested in the change in free energy (ΔG) for reactions in cells. This is important because it helps us understand whether a reaction can occur spontaneously under physiological conditions.
02

Analyze Each Equation

Let's explore each provided option to see which one is suitable for calculating free energy changes under physiological conditions: - **(a)** Relates free energy with equilibrium constants, which is not directly suitable for physiological conditions. - **(b)** Includes terms that account for actual concentrations of products and reactants, matching real cellular conditions. - **(c)** Similar to (a), but uses a concentration ratio directly, which isn't adjusted for real conditions. - **(d)** Is the van't Hoff equation connecting enthalpy and entropy to free energy, but not specific to cellular conditions. - **(e)** Includes standard free energy change and concentration terms but isn't structured right for physiological conditions.
03

Identify the Correct Equation

The most appropriate equation for evaluating free energy changes in cells is **(b)**: \( \Delta G=\Delta G^{\prime \prime}+R T \ln [\text{products}][\text{reactants}] \). This equation considers both the standard free energy change (ΔG''), which accounts for cellular conditions (often adjusted for pH 7), and the actual concentrations of the reactants and products, making it suitable for calculating ΔG in physiological environments.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Biochemical Thermodynamics
Biochemical thermodynamics is the study of energy transformations in biochemical processes. It focuses on how energy changes during chemical reactions that occur in biological systems, primarily within cells. These reactions can involve the breakdown of molecules, synthesis of new compounds, or transport of substances across cell membranes. Understanding these energy changes is crucial as it determines whether a reaction can proceed spontaneously or if energy input is required. Important principles in biochemical thermodynamics include:
  • Energy conservation: Energy in biological systems is neither created nor destroyed but transformed from one form to another.
  • Directionality of reactions: Reactions tend to move toward a state of equilibrium, where there is no net change in reactant and product concentrations.
  • Free energy: This concept allows us to determine the feasibility of a reaction under specified conditions.
By studying these principles, scientists can predict how molecules interact and how cellular processes are regulated, which is essential for understanding life at the molecular level.
Cellular Reactions
Cellular reactions are the biochemical processes that occur within cells that sustain life. These reactions are responsible for converting nutrients into energy, building cellular structures, and regulating cellular functions. They can be broadly classified into two types: catabolic reactions that break down molecules to release energy, and anabolic reactions that use energy to construct cell components. Cellular reactions are tightly regulated to ensure efficiency and to meet the organism's needs. They often involve enzymes, which are proteins that speed up reactions by lowering the activation energy required. This regulation allows cells to respond swiftly to changes in the internal and external environment, maintaining homeostasis. By examining cellular reactions, we can gain insights into how cells maintain their viability, replicate, and interact with their surroundings.
  • Enzyme action: Crucial for increasing the speed of biochemical reactions.
  • Metabolic pathways: Series of enzyme-driven reactions that generate vital cellular outputs.
  • Energy transfer: Often involves molecules like ATP, providing energy for cellular activities.
Physiological Conditions
Physiological conditions refer to the typical environment inside organisms under which biological processes occur. This includes parameters like temperature, pH, osmolarity, and concentrations of ions and molecules. Maintaining these conditions is critical for ensuring optimal functioning of cellular reactions. In human cells, physiological conditions generally mean a temperature around 37°C and a pH close to 7.4. Any change outside these conditions can affect cellular processes adversely. For example, enzymes may lose their efficiency, membranes may become unstable, and signaling pathways can become disrupted. In biochemical studies, physiological conditions are often simulated to understand how reactions occur naturally within the body. This ensures that the findings are relevant to real-world biological systems. Some points to consider include:
  • Temperature control: Critical for maintaining enzyme activity and reaction rates.
  • pH balance: Important for the solubility and activity of biomolecules.
  • Cellular homeostasis: The tight regulation of internal conditions to preserve life functions.
Standard Free Energy Change
Standard Free Energy Change (\( \Delta G^{ ext{°}'}\)) is a term used to describe the energy change of a reaction under standardized conditions, such as a fixed temperature (usually 298 K), 1 atm pressure, and 1 M concentrations of all reactants and products. However, in biochemistry, these conditions are slightly modified to consider reactions occurring in a near-neutral pH of 7, which is adjusted for biological systems.The standard free energy change helps predict the directionality of biochemical reactions under these standardized conditions. If \( \Delta G^{ ext{°}'}\) is negative, the reaction is spontaneous, meaning it can proceed without an external energy input. If it is positive, the reaction is not spontaneous and requires an input of energy to occur.This concept is crucial in linking thermodynamic principles to biological processes, allowing scientists to understand how energy is harnessed and utilized in cells.
  • Predicts reaction spontaneity: Determines the feasibility and direction of a reaction.
  • Considers standard conditions: Provides a baseline to compare the energy changes of different reactions.
  • Adapted for physiological relevance: By adjusting to pH 7, it aligns more closely with cellular environments.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Cytochromes are redox-active proteins that occur in all organisms except a few types of obligate anaerobes. These proteins contain heme groups, the iron atom of which reversibly alternates between the \(\mathrm{Fe}(\mathrm{II})\) and \(\mathrm{Fe}(\mathrm{III})\) oxidation states during electron transport. Consider the reaction cytc \(\left(\mathrm{Fe}^{2+}\right)+\operatorname{cyt}\left(\mathrm{Fe}^{3+}\right) \Leftrightarrow \operatorname{cytc}\left(\mathrm{Fe}^{3+}\right)+\operatorname{cyt}\left(\mathrm{Fe}^{2+}\right)\) involving cytochromes \(c\) and \(f\). If \(V^{01}=0.365 \mathrm{~V}\) for electron transfer to cytf \(\left(\mathrm{Fe}^{3+}\right)\), and \(V^{\prime \prime}=0.254 \mathrm{~V}\) for electron transfer to cytc \(\left(\mathrm{Fe}^{3+}\right)\), can ferrocytochrome \(c(2+\) oxidation state) reduce ferricytochrome \(f\) ( \(3+\) oxidation state) spontaneously?

Cholesterol increases membrane rigidity. What effect will it have on the character of the lipid bilayer order-disorder transition? Why?

Calculate \(K_{\mathrm{eq}}\) for the hydrolysis of the following compounds at neutral \(\mathrm{pH}\) and \(25^{\circ} \mathrm{C}\) : phosphoenolpyruvate \(\left(\Delta G^{\circ \prime}=-61.9\right.\) \(\mathrm{kJ} \mathrm{mol}^{-1}\) ), pyrophosphate \(\left(\Delta G^{\circ}=-33.5 \mathrm{~kJ} \mathrm{~mol}^{-1}\right)\), and glucose1-phosphate \(\left(\Delta G^{\circ}=-20.9 \mathrm{~kJ} \mathrm{~mol}^{-1}\right) .\) Assume that the equilibrium constant includes water, accounting for the possibility that the water concentration is relatively low, as in the cell. These compounds are involved in the glycolytic pathway.

State whether the following phrases pertain to (A) the expansion of a gas into a vacuum, (B) two objects coming to thermal equilibrium, (C) both of these processes, or (D) neither of these processes. (1) Involves a change in enthalpy. (2) Involves an increase in entropy. (3) Involves a decrease in Gibbs free energy. (4) Can be made to proceed in the opposite direction.

The direction of a reaction with a very large or very small value of \(K_{\text {eq }}\) is difficult, though not impossible, to alter by changing the mass action ratio. Explain.

See all solutions

Recommended explanations on Chemistry Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.