Chapter 10 Photosynthesis Dr. Wendy Sera Houston Community College Biology 1406 © 2014 Pearson Education, Inc. You should be able to: 1. Describe the structure of a chloroplast 2. Describe the relationship between an action spectrum and an absorption spectrum 3. Trace the movement of electrons in linear electron flow 4. Trace the movement of electrons in cyclic electron flow © 2014 Pearson Education, Inc. 5. Describe the similarities and differences between oxidative phosphorylation in mitochondria and photophosphorylation in chloroplasts 6. Describe the role of ATP and NADPH in the Calvin cycle 7. Describe the major consequences of photorespiration 8. Describe two important photosynthetic adaptations that minimize photorespiration © 2014 Pearson Education, Inc. 1 The Process That Feeds the Biosphere Photosynthesis is the process that converts solar energy into chemical energy Directly or indirectly, photosynthesis nourishes almost the entire living world Figure 10.1—How does sunlight help build the trunk, branches, and leaves of this broadleaf tree? © 2014 Pearson Education, Inc. Energy flow and chemical recycling in ecosystems Light energy ECOSYSTEM Photosynthesis in chloroplasts CO2 + H2O Organic +O molecules 2 Cellular respiration in mitochondria ATP ATP powers most cellular work Heat energy © 2014 Pearson Education, Inc. Modes of Nutrition Autotrophs sustain themselves without eating anything derived from other organisms Autotrophs are the producers of the biosphere, producing organic molecules from CO2 and other inorganic molecules Almost all plants are photoautotrophs, using the energy of sunlight to make organic molecules © 2014 Pearson Education, Inc. 2 Modes of Nutrition, cont. Photosynthesis occurs in plants, algae, certain other unicellular eukaryotes, and some prokaryotes These organisms feed not only themselves, but also most of the living world Other organisms also benefit from photosynthesis. © 2014 Pearson Education, Inc. (d) Cyanobacteria 40 μm (b) Multicellular alga 1 μm (a) Plants 10 μm (e) Purple sulfur bacteria Figure 10. 2—Photoautotrophs (c) Unicellular eukaryotes © 2014 Pearson Education, Inc. Modes of Nutrition, cont. Heterotrophs obtain their organic material from other organisms Heterotrophs are the consumers of the biosphere Primary Consumers Secondary Consumers Almost all heterotrophs, including humans, depend on photoautotrophs for food and O2 © 2014 Pearson Education, Inc. 3 BioDiesel—Alternative to Fossil Fuels Earth’s supply of fossil fuels was formed from the remains of organisms that died hundreds of millions of years ago In a sense, fossil fuels represent stores of solar energy from the distant past Figure 10.3— Alternative fuels from algae © 2014 Pearson Education, Inc. Concept 10.1: Photosynthesis converts light energy to the chemical energy of food Chloroplasts are structurally similar to and likely evolved from photosynthetic bacteria The structural organization of these organelles allows for the chemical reactions of photosynthesis © 2014 Pearson Education, Inc. Chloroplasts: The Sites of Photosynthesis in Plants Leaves (a plant organ) are the major locations of photosynthesis Chloroplasts are found mainly in cells of the mesophyll, the interior tissue of the leaf Each mesophyll cell contains 30–40 chloroplasts CO2 enters and O2 exits the leaf through microscopic pores called stomata © 2014 Pearson Education, Inc. 4 Leaf cross section Chloroplasts Vein Mesophyll Figure 10.4— Zooming in on the location of photosynthesis in a plant Stomata CO2 O2 Chloroplast Mesophyll cell Thylakoid Thylakoid Stroma Granum space Outer membrane Intermembrane space Inner membrane 20 μm 1 μm © 2014 Pearson Education, Inc. Chloroplasts, cont. A chloroplast has an envelope of two membranes surrounding a dense fluid called the stroma Thylakoids are connected sacs in the chloroplast which compose a third membrane system Thylakoids may be stacked in columns called grana Chlorophyll, the pigment which gives leaves their green color, resides in the thylakoid membranes © 2014 Pearson Education, Inc. Tracking Atoms Through Photosynthesis: Scientific Inquiry Photosynthesis is a complex series of reactions that can be summarized as the following equation: 6 CO2 + 12 H2O + Light energy → C6H12O6 + 6 O2 + 6 H2O Can be simplified to: 6 CO2 + 6 H2O + Light energy → C6H12O6 + 6 O2 Thus, the overall chemical change during photosynthesis is the reverse of the one that occurs during cellular respiration © 2014 Pearson Education, Inc. 5 The Splitting of Water Figure 10.5—Tracking atoms through photosynthesis Reactants: Products: 6 CO2 C6H12O6 12 H2O 6 H2 O 6 O2 Chloroplasts split H2O into hydrogen and oxygen, incorporating the electrons of hydrogen into sugar molecules and releasing oxygen as a by-product © 2014 Pearson Education, Inc. Photosynthesis as a Redox Process Photosynthesis is a redox process in which H2O is oxidized and CO2 is reduced (the opposite of cellular respiration!) Photosynthesis is an endergonic process (thus, an anabolic pathway); the energy boost is provided by light © 2014 Pearson Education, Inc. Photosynthesis as a Redox Process, cont. becomes reduced becomes oxidized © 2014 Pearson Education, Inc. 6 The Two Stages of Photosynthesis: A Preview Photosynthesis consists of the light reactions (the photo part) and Calvin cycle (the synthesis part) The light reactions (in the thylakoids) Split H2O Release O2 Reduce the electron acceptor NADP+ to NADPH Generate ATP from ADP by photophosphorylation © 2014 Pearson Education, Inc. The Calvin cycle (in the stroma) forms sugar from CO2, using ATP and NADPH The Calvin cycle begins with carbon fixation, incorporating CO2 into organic molecules © 2014 Pearson Education, Inc. Light H2O CO2 NADP+ LIGHT REACTIONS ADP + Pi CALVIN CYCLE ATP Thylakoid Figure 10.6—An overview of photosynthesis: cooperation of the light reactions and the Calvin cycle Stroma NADPH Chloroplast O2 [CH2O] (sugar) © 2014 Pearson Education, Inc. 7 BioFlix: Photosynthesis © 2014 Pearson Education, Inc. Concept 10.2: The light reactions convert solar energy to the chemical energy of ATP and NADPH Chloroplasts are solar-powered chemical factories Their thylakoids transform light energy into the chemical energy of ATP and NADPH © 2014 Pearson Education, Inc. The Nature of Sunlight Light is a form of electromagnetic energy, also called electromagnetic radiation Like other electromagnetic energy, light travels in rhythmic waves Wavelength is the distance between crests of waves Wavelength determines the type of electromagnetic energy © 2014 Pearson Education, Inc. 8 The Electromagnetic Spectrum The electromagnetic spectrum is the entire range of electromagnetic energy, or radiation Visible light consists of wavelengths (including those that drive photosynthesis) that produce the colors we can see (380-750 nm) Light also behaves as though it consists of discrete particles, called photons © 2014 Pearson Education, Inc. Figure 10.7—The electromagnetic spectrum 10−5 nm 10−3 nm 1 nm Gamma X-rays rays 103 nm UV 106 nm Infrared 1m (109 nm) Microwaves 103 m Radio waves Visible light 380 450 500 Shorter wavelength Higher energy 550 600 650 700 750 nm Longer wavelength Lower energy © 2014 Pearson Education, Inc. Photosynthetic Pigments: The Light Receptors Pigments are substances that absorb visible light Different pigments absorb different wavelengths Wavelengths that are not absorbed are reflected or transmitted Leaves appear green because chlorophyll reflects and transmits green light © 2014 Pearson Education, Inc. 9 Figure 10.8—Why leaves are green: interaction of light with chloroplasts Light Reflected light Chloroplast Absorbed light Granum Transmitted light © 2014 Pearson Education, Inc. Animation: Light and Pigments © 2014 Pearson Education, Inc. Spectrophotometry A spectrophotometer measures a pigment’s ability to absorb various wavelengths This machine sends light through pigments and measures the fraction of light transmitted at each wavelength © 2014 Pearson Education, Inc. 10 Refracting prism White light Chlorophyll solution 2 Photoelectric tube Galvanometer 3 1 4 Slit moves to pass light of selected wavelength. Figure 10.9—Research method: determining an absorption spectrum Green light The high transmittance (low absorption) reading indicates that chlorophyll absorbs very little green light. Blue light The low transmittance (high absorption) reading indicates that chlorophyll absorbs most blue light. © 2014 Pearson Education, Inc. Absorption vs Action Spectra An absorption spectrum is a graph plotting a pigment’s light absorption versus wavelength The absorption spectrum of chlorophyll a suggests that violet-blue and red light work best for photosynthesis An action spectrum profiles the relative effectiveness of different wavelengths of radiation in driving a process Absorption of light by chloroplast pigments © 2014 Pearson Education, Inc. Chlorophyll a Chlorophyll b Carotenoids Rate of photosynthesis (measured by O2 release) Figure 10.10-400 500 600 700 Which Wavelength of light (nm) wavelengths of (a) Absorption spectra light are most effective in driving photosynthesis? 400 500 (b) Action spectrum 600 700 Aerobic bacteria Filament of alga 400 500 (c) Engelmann’s experiment 600 700 © 2014 Pearson Education, Inc. 11 Englemann’s Experiment The action spectrum of photosynthesis was first demonstrated in 1883 by Theodor W. Engelmann In his experiment, he exposed different segments of a filamentous alga to different wavelengths Areas receiving wavelengths favorable to photosynthesis produced excess O2 He used the growth of aerobic bacteria clustered along the alga as a measure of O2 production © 2014 Pearson Education, Inc. The Pigments of Photosynthesis Chlorophyll a is the main photosynthetic pigment Accessory pigments, such as chlorophyll b, broaden the spectrum used for photosynthesis The difference in the absorption spectrum between chlorophyll a and b is due to a slight structural difference between the pigment molecules Accessory pigments called carotenoids absorb excessive light that would damage chlorophyll © 2014 Pearson Education, Inc. CH3 CH3 in chlorophyll a CHO in chlorophyll b Porphyrin ring: light-absorbing “head” of molecule; note magnesium atom at center Figure 10.11—Structure of chlorophyll molecules in chloroplasts of plants Hydrocarbon tail: interacts with hydrophobic regions of proteins inside thylakoid membranes of chloroplasts; H atoms not shown © 2014 Pearson Education, Inc. 12 Video: Space-Filling Model of Chlorophyll a © 2014 Pearson Education, Inc. Excitation of Chlorophyll by Light When a pigment absorbs light, it goes from a ground state to an excited state, which is unstable When excited electrons fall back to the ground state, photons are given off, an afterglow called fluorescence If illuminated, an isolated solution of chlorophyll will fluoresce, giving off light and heat © 2014 Pearson Education, Inc. Figure 10.12—Excitation of isolated chlorophyll by light Energy of electron e− Excited state Heat Photon Chlorophyll molecule Photon (fluorescence) Ground state (a) Excitation of isolated chlorophyll molecule (b) Fluorescence © 2014 Pearson Education, Inc. 13 A Photosystem: A Reaction-Center Complex Associated with Light-Harvesting Complexes A photosystem consists of a reaction-center complex (a type of protein complex) surrounded by light-harvesting complexes The light-harvesting complexes (pigment molecules bound to proteins) transfer the energy of photons to the reaction center A primary electron acceptor in the reaction center accepts excited electrons and is reduced as a result Solar-powered transfer of an electron from a chlorophyll a molecule to the primary electron acceptor is the first step of the light reactions © 2014 Pearson Education, Inc. Figure 10.13—The structure and function of a photosystem Photosystem Reactioncenter complex STROMA Primary electron acceptor e− Transfer of energy Special pair of chlorophyll a molecules Pigment molecules THYLAKOID SPACE (INTERIOR OF THYLAKOID) (a) How a photosystem harvests light Thylakoid membrane Lightharvesting complexes Thylakoid membrane Photon Chlorophyll Protein subunits (b) Structure of a photosystem STROMA THYLAKOID SPACE © 2014 Pearson Education, Inc. Photosystem Photon Thylakoid membrane Figure 10.13—The structure and function of a photosystem Lightharvesting complexes STROMA ReactionPrimary center complex electron acceptor e− Transfer of energy Special pair of chlorophyll a molecules Pigment THYLAKOID SPACE molecules (INTERIOR OF THYLAKOID) (a) How a photosystem harvests light © 2014 Pearson Education, Inc. 14 Photosystem II There are two types of photosystems in the thylakoid membrane Photosystem II (PS II) functions first (the numbers reflect order of discovery) and is best at absorbing a wavelength of 680 nm The reaction-center chlorophyll a of PS II is called P680 © 2014 Pearson Education, Inc. Photosystem I Photosystem I (PS I) is best at absorbing a wavelength of 700 nm The reaction-center chlorophyll a of PS I is called P700 © 2014 Pearson Education, Inc. Linear Electron Flow During the light reactions, there are two possible routes for electron flow: cyclic and linear Linear electron flow, the primary pathway, involves both photosystems and produces ATP and NADPH using light energy © 2014 Pearson Education, Inc. 15 H2O CO2 Light NADP+ ADP CALVIN CYCLE LIGHT REACTIONS ATP NADPH [CH2O] (sugar) O2 © 2014 Pearson Education, Inc. Linear Electron Flow, cont. Primary acceptor e− 1 2 P680 Light There are 8 steps in linear electron flow: 1. A photon hits a pigment and its energy is passed among pigment molecules until it excites P680 2. An excited electron from P680 is transferred to the primary electron acceptor (we now call it P680+) Pigment molecules Photosystem II (PS II) © 2014 Pearson Education, Inc. Linear Electron Flow, cont. 3. H2O is split by enzymes, and the electrons are transferred from the hydrogen atoms to P680+, thus reducing it to P680 Primary acceptor 2 H+ + ½ O2 1 H2 O e− 2 3 e− e− P680 Light Pigment molecules Photosystem II (PS II) • P680+ is the strongest known biological oxidizing agent • O2 is released as a byproduct of this reaction © 2014 Pearson Education, Inc. 16 Linear Electron Flow, cont. 4. Each electron “falls” 4 Primary acceptor 2 H+ + ½ O2 e− H2 O Pq 2 Cytochrome complex 3 Pc e− e− 1 down an electron transport chain from the primary electron acceptor of PS II to PS I Electron transport chain P680 5. Energy released by the fall drives the creation of a proton gradient across the thylakoid membrane 5 Light ATP Pigment molecules Diffusion of H+ (protons) across the membrane drives ATP synthesis Photosystem II (PS II) © 2014 Pearson Education, Inc. Linear Electron Flow, cont. 4 Primary acceptor 2 H+ + ½ O2 1 H2 O e− 2 Primary acceptor e− Pq Cytochrome complex 3 e− e− Electron transport chain Pc P680 P700 5 Light Light 6 ATP Pigment molecules Photosystem II (PS II) Photosystem I (PS I) © 2014 Pearson Education, Inc. 6. In PS I (like PS II), transferred light energy excites P700, which loses an electron to an electron acceptor P700+ (P700 that is missing an electron) accepts an electron passed down from PS II via the electron transport chain © 2014 Pearson Education, Inc. 17 Linear Electron Flow, cont. 4 Primary acceptor 2 H+ + ½ O2 1 H2 O 2 e− Electron transport chain e− e− Fd e− Pq e− − e Cytochrome complex 3 8 NADP+ reductase Pc P680 Electron transport chain 7 Primary acceptor NADP+ + H+ NADPH P700 5 Light Light 6 ATP Pigment molecules Photosystem II (PS II) Photosystem I (PS I) © 2014 Pearson Education, Inc. 7. Each electron “falls” down an electron transport chain from the primary electron acceptor of PS I to the protein ferredoxin (Fd) 8. The electrons are then transferred to NADP+ and reduce it to NADPH The electrons of NADPH are now available for the reactions of the Calvin cycle This process also removes an H+ from the stroma © 2014 Pearson Education, Inc. The energy changes of electrons during linear flow through the light reactions can be shown in a mechanical analogy e− e− e− e− Mill makes ATP e− NADPH e− e− ATP Photosystem II Photosystem I © 2014 Pearson Education, Inc. 18 Cyclic Electron Flow In cyclic electron flow, electrons cycle back from Fd to the PS I reaction center Cyclic electron flow uses only photosystem I and produces ATP, but not NADPH No oxygen is released © 2014 Pearson Education, Inc. Figure 10.16—Cyclic electron flow Primary acceptor Primary acceptor Fd Fd Pq NADP+ + H+ NADP+ reductase Cytochrome complex NADPH Pc Photosystem I Photosystem II ATP © 2014 Pearson Education, Inc. Some organisms such as purple sulfur bacteria have PS I, but not PS II Cyclic electron flow is thought to have evolved before linear electron flow Cyclic electron flow may protect cells from light-induced damage © 2014 Pearson Education, Inc. 19 A Comparison of Chemiosmosis in Chloroplasts and Mitochondria Chloroplasts and mitochondria generate ATP by chemiosmosis, but use different sources of energy Mitochondria transfer chemical energy from food to ATP; chloroplasts transform light energy into the chemical energy of ATP Spatial organization of chemiosmosis differs between chloroplasts and mitochondria but also shows similarities © 2014 Pearson Education, Inc. In mitochondria, protons are pumped to the intermembrane space and drive ATP synthesis as they diffuse back into the mitochondrial matrix In chloroplasts, protons are pumped into the thylakoid space and drive ATP synthesis as they diffuse back into the stroma © 2014 Pearson Education, Inc. Figure 10.17— Comparison of chemiosmosis in mitochondria and chloroplasts CHLOROPLAST STRUCTURE MITOCHONDRION STRUCTURE Intermembrane space Inner membrane H+ Diffusion Electron transport chain Thylakoid space Thylakoid membrane ATP synthase Matrix Stroma ADP + P i Key Higher [H+] Lower [H+] H+ ATP © 2014 Pearson Education, Inc. 20 Figure 10.18—The light reactions and chemiosmosis: Current model of the organization of the thylakoid membrane Photosystem II 4 H+ Light Cytochrome complex Light NADP+ reductase 3 Photosystem I Fd Pq H2O e e NADPH Pc 2 1 ½ O2 THYLAKOID SPACE +2 H+ (high H+ concentration) NADP+ + H+ 4 H+ To Calvin Cycle Thylakoid membrane STROMA (low H+ concentration) ATP synthase ADP + Pi H+ ATP © 2014 Pearson Education, Inc. ATP and NADPH are produced on the side facing the stroma, where the Calvin cycle takes place In summary, light reactions generate ATP and increase the potential energy of electrons by moving them from H2O to NADPH © 2014 Pearson Education, Inc. Concept 10.3: The Calvin cycle uses the chemical energy of ATP and NADPH to reduce CO2 to sugar The Calvin cycle, like the citric acid cycle, regenerates its starting material after molecules enter and leave the cycle The cycle builds sugar from smaller molecules by using ATP and the reducing power of electrons carried by NADPH © 2014 Pearson Education, Inc. 21 H2O CO2 Light NADP+ ADP CALVIN CYCLE LIGHT REACTIONS ATP NADPH [CH2O] (sugar) O2 © 2014 Pearson Education, Inc. Carbon enters the cycle as CO2 and leaves as a sugar named glyceraldehyde 3-phospate (G3P) For net synthesis of 1 G3P, the cycle must take place three times, fixing 3 molecules of CO2 The Calvin cycle has three phases 1. Carbon fixation (catalyzed by rubisco) 2. Reduction 3. Regeneration of the CO2 acceptor (RuBP) © 2014 Pearson Education, Inc. Input 3 CO2, entering one per cycle Figure 10.19— The Calvin cycle Phase 1: Carbon fixation Rubisco 3 P 3 P P 6 P P 3-Phosphoglycerate RuBP 6 ATP 6 ADP Calvin Cycle 3 ADP 3 ATP 6 P P 1,3-Bisphosphoglycerate 6 NADPH Phase 3: Regeneration of RuBP 6 NADP+ 6 Pi P 5 G3P 6 P G3P 1 P G3P Output Phase 2: Reduction Glucose and other organic compounds © 2014 Pearson Education, Inc. 22 Concept 10.4: Alternative mechanisms of carbon fixation have evolved in hot, arid climates Dehydration is a problem for plants, sometimes requiring trade-offs with other metabolic processes, especially photosynthesis On hot, dry days, plants close stomata, which conserves H2O, but also limits photosynthesis The closing of stomata reduces access to CO 2 and causes O2 to build up These conditions favor an apparently wasteful process called photorespiration © 2014 Pearson Education, Inc. Photorespiration: An Evolutionary Relic? In most plants (C3 plants), initial fixation of CO2, via rubisco, forms a 3-carbon compound (3-phosphoglycerate) In photorespiration, rubisco adds O2 instead of CO2 in the Calvin cycle, producing a two-carbon compound Photorespiration consumes O2 and organic fuel and releases CO2 without producing ATP or sugar In many plants, photorespiration is a problem because on a hot, dry day it can drain as much as 50% of the carbon fixed by the Calvin cycle © 2014 Pearson Education, Inc. C4 Plants: Sugarcane, Corn, & many Grasses C4 plants minimize the cost of photorespiration by incorporating CO2 into 4-carbon compounds There are two distinct types of cells in the leaves of C4 plants: Bundle-sheath cells are arranged in tightly packed sheaths around the veins of the leaf Mesophyll cells are loosely packed between the bundle sheath and the leaf surface © 2014 Pearson Education, Inc. 23 Sugar production in C4 plants occurs in a 3-step process: 1. The production of the four carbon precursors is catalyzed by the enzyme PEP carboxylase in the mesophyll cells PEP carboxylase has a higher affinity for CO2 than rubisco does; it can fix CO2 even when CO2 concentrations are low 2. These four-carbon compounds are exported to bundle-sheath cells 3. Within the bundle-sheath cells, they release CO2 that is then used in the Calvin cycle © 2014 Pearson Education, Inc. C4 leaf anatomy Photosynthetic cells of C4 plant leaf Mesophyll cell The C4 pathway Mesophyll cell PEP carboxylase Bundlesheath cell Oxaloacetate (4C) Vein (vascular tissue) CO2 PEP (3C) ADP Malate (4C) ATP Pyruvate CO (3C) 2 Stoma Figure 10.20—C4 leaf anatomy and the C4 pathway Bundlesheath cell Calvin Cycle Sugar Vascular tissue © 2014 Pearson Education, Inc. Rising CO2 Levels Since the Industrial Revolution in the 1800s, CO2 levels in the atmosphere have risen greatly Increasing levels of CO2 may affect C3 and C4 plants differently, perhaps changing the relative abundance of these species The effects of such changes are unpredictable and a cause for concern © 2014 Pearson Education, Inc. 24 CAM Plants—Cacti, Pineapples, many Succulents Some plants, including succulents, use crassulacean acid metabolism (CAM) to fix carbon CAM plants open their stomata at night, incorporating CO2 into organic acids Stomata close during the day, and CO2 is released from organic acids and then used in the Calvin cycle © 2014 Pearson Education, Inc. Figure 10.21—C4 and CAM photosynthesis compared Sugarcane Pineapple 1 CO2 C4 Mesophyll Organic cell acid CO2 2 Bundlesheath cell Calvin Cycle Sugar (a) Spatial separation of steps CO2 Organic acid 1 CAM Night CO2 2 Calvin Cycle Day Sugar (b) Temporal separation of steps © 2014 Pearson Education, Inc. The Importance of Photosynthesis: A Review The energy entering chloroplasts as sunlight gets stored as chemical energy in organic compounds Globally, photosynthesis makes 180 billion metric tons of carbohydrates per year—the most productive chemical process on Earth. Plants consume about 50% of the sugar they make as fuel for their own cellular respiration (to regenerate ATP for other cellular processes). Plants store the remaining 50% of the sugar as starch or other sugars in structures such as roots, tubers, seeds, and fruits Sugars made in the chloroplasts supply all organisms on Earth with chemical energy and carbon skeletons to synthesize their own organic molecules, as well as the O2 in our atmosphere © 2014 Pearson Education, Inc. 25 O2 Figure 10.22—A review of photosynthesis (part 1) CO2 H2O Sucrose (export) Mesophyll cell H2O Chloroplast CO2 Light NADP+ LIGHT REACTIONS: Photosystem II Electron transport chain Photosystem I Electron transport chain H2O O2 ADP + Pi 3-Phosphoglycerate RuBP CALVIN CYCLE ATP G3P NADPH Starch (storage) Sucrose (export) © 2014 Pearson Education, Inc. Figure 10.22—A review of photosynthesis (part 2) LIGHT REACTIONS • Are carried out by molecules in the thylakoid membranes • Convert light energy to the chemical energy of ATP and NADPH • Split H2O and release O2 to the atmosphere CALVIN CYCLE REACTIONS • Take place in the stroma • Use ATP and NADPH to convert CO2 to the sugar G3P • Return ADP, inorganic phosphate, and NADP+ to the light reactions © 2014 Pearson Education, Inc. © 2014 Pearson Education, Inc. 26
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