📚 Interdisciplinary Integrated Question Practice for Year 9 AQA Science | 九年级 AQA 科学跨学科综合题型训练
Year 9 is a crucial stage where you begin to see how the three sciences – Biology, Chemistry and Physics – are not isolated subjects but deeply interconnected. The AQA syllabus increasingly rewards students who can apply knowledge from one discipline to solve problems in another. This integrated question practice will sharpen your ability to think across boundaries, covering real-world contexts such as energy transfers in ecosystems, chemical processes in living organisms, and physical principles behind biological structures.
九年级是一个关键阶段,你开始发现生物、化学和物理这三门科学并非彼此孤立,而是深度交织。AQA 课程越来越青睐那些能运用跨学科知识解决问题的能力。本次综合题型训练将提升你的跨领域思维能力,涵盖生态系统中的能量转移、生物体内的化学过程以及生物结构背后的物理原理等实际情境。
1. Energy Transfers in Food Chains and Respiration | 食物链中的能量转移与呼吸作用
In any ecosystem, energy enters as sunlight and is converted by plants through photosynthesis. The chemical equation for photosynthesis is: 6CO₂ + 6H₂O → C₆H₁₂O₆ + 6O₂. This glucose is then used in respiration to release energy for life processes. Respiration can be summarised as: C₆H₁₂O₆ + 6O₂ → 6CO₂ + 6H₂O. Notice how these two reactions are essentially the reverse of each other – a beautiful link between biology and chemistry.
在任何生态系统中,能量以阳光形式进入,植物通过光合作用将其转化。光合作用的化学方程式为:6CO₂ + 6H₂O → C₆H₁₂O₆ + 6O₂。生成的葡萄糖随后通过呼吸作用释放能量以维持生命活动。呼吸作用可归纳为:C₆H₁₂O₆ + 6O₂ → 6CO₂ + 6H₂O。请注意这两个反应本质上互为逆反应——这是生物学与化学之间的美妙联系。
Only about 10% of the energy from one trophic level is transferred to the next. The rest is lost as heat, movement, or undigested material. This is where physics meets biology: the ‘lost’ energy is not destroyed but converted to thermal energy, obeying the law of conservation of energy. You can calculate the efficiency of energy transfer using: Efficiency = (energy transferred to next level ÷ energy available in the level) × 100%. This blends ecological pyramids with simple physics calculations.
从一个营养级传递到下一级的能量仅约10%,其余以热能、运动或未消化物质的形式散失。这正是物理学与生物学交汇之处:“散失”的能量并未消灭,而是转化为热能,遵循能量守恒定律。你可以用公式计算能量传递效率:效率 = (传递到下一级的能量 ÷ 该营养级可用能量) × 100%。这融合了生态金字塔与简单物理计算。
Sample integrated question: A field of wheat absorbs 2,000,000 J of sunlight energy per m² per year. The wheat fixes 40,000 J of that energy into biomass. A mouse eats the wheat and absorbs 4,000 J. A weasel that eats the mouse gains 400 J. Calculate the percentage efficiency of energy transfer from the sun to the wheat, and from the mouse to the weasel. Explain why the efficiency is so low, referring to both biological and physical reasons.
综合样题: 每平方米麦田每年吸收2,000,000 J的阳光能量。小麦将其中的40,000 J固定为生物质。一只老鼠吃了小麦,吸收了4,000 J。一只黄鼠狼捕食老鼠获得400 J。计算从太阳到小麦、以及从老鼠到黄鼠狼的能量传递效率。解释为什么效率如此之低,要求同时提及生物学和物理学原因。
Answer approach: Sun to wheat efficiency = (40,000 ÷ 2,000,000) × 100% = 2%. Mouse to weasel efficiency = (400 ÷ 4,000) × 100% = 10%. Biological reasons: not all of the plant is eaten, parts are indigestible, energy used for respiration. Physical reason: energy is lost as heat during metabolic processes, following the second law of thermodynamics – entropy increases, so useful energy decreases.
答题思路: 太阳到小麦的效率 = (40,000 ÷ 2,000,000) × 100% = 2%。老鼠到黄鼠狼的效率 = (400 ÷ 4,000) × 100% = 10%。生物学原因:植物并非全部被食用,部分无法消化,能量用于呼吸作用。物理学原因:代谢过程中能量以热的形式散失,遵循热力学第二定律——熵增导致有效能量减少。
2. Diffusion, Osmosis and Particle Theory | 扩散、渗透与粒子理论
Diffusion is the net movement of particles from an area of high concentration to an area of low concentration. This is a physical process driven by the random motion of particles, which increases with temperature – a concept from the kinetic particle model in chemistry and physics. In biology, diffusion explains how oxygen enters cells and carbon dioxide leaves them in the lungs and respiring tissues.
扩散是粒子从高浓度区域向低浓度区域的净移动。这是一个由粒子随机运动驱动的物理过程,且随温度升高而加剧——这是化学和物理中动理学粒子模型的概念。在生物学中,扩散解释了氧气如何进入细胞、二氧化碳如何在肺部和呼吸组织中排出。
Osmosis is a special case of diffusion involving water across a partially permeable membrane. The water moves from a region of higher water potential (dilute solution) to a region of lower water potential (concentrated solution). This can be explained using the idea of water molecules being more ‘free’ to move in a dilute solution. A red blood cell placed in pure water will swell and burst (haemolysis) as water enters by osmosis; placed in a concentrated salt solution, it will shrink (crenation). This integrates cell biology with physical principles of concentration gradients and membrane permeability.
渗透是扩散的一种特殊情况,涉及水分子穿过部分透性膜。水从较高水势(稀溶液)区域移向较低水势(浓溶液)区域。这可以用稀溶液中水分子更“自由”移动的概念来解释。将红细胞置于纯水中,水通过渗透进入细胞导致其膨胀破裂(溶血);置于浓盐溶液中则会缩小(皱缩)。这整合了细胞生物学与浓度梯度和膜透性的物理原理。
Chemical context: The process of diluting a solution or dissolving salt can be described using particle diagrams. Draw the arrangement of water particles around sodium ions (Na⁺) and chloride ions (Cl⁻) as salt dissolves. Why does the level of liquid not rise when you dissolve salt in water? Because the particles fill spaces between water molecules – a concept linking volume, particle size, and the particulate nature of matter.
化学语境: 稀释溶液或溶解盐的过程可用粒子图描述。画出盐溶解时水粒子围绕钠离子 (Na⁺) 和氯离子 (Cl⁻) 的排列方式。为什么盐溶于水时液面不上升?因为粒子填补了水分子间的空隙——这个概念连接了体积、粒子大小和物质的微粒性质。
3. The Carbon Cycle and Combustion | 碳循环与燃烧
The carbon cycle is a fundamental biogeochemical cycle that involves photosynthesis, respiration, decomposition, and combustion. Carbon is stored in the atmosphere as CO₂, in biomass, in fossil fuels, and in oceans. Combustion of hydrocarbons (fossil fuels) releases carbon dioxide: CH₄ + 2O₂ → CO₂ + 2H₂O. This is an oxidation reaction where carbon gains oxygen, releasing energy. The same carbon atoms are cycled through living and non-living components.
碳循环是一个基本的生物地球化学循环,涉及光合作用、呼吸作用、分解和燃烧。碳以 CO₂ 形式储存于大气,也储存于生物质、化石燃料和海洋中。烃类(化石燃料)的燃烧释放二氧化碳:CH₄ + 2O₂ → CO₂ + 2H₂O。这是一个氧化反应,碳获得氧并释放能量。相同的碳原子在生物和非生物组分之间循环流动。
From a physics perspective, burning fossil fuels converts chemical potential energy into thermal and light energy, which can be harnessed to do work, e.g., in power stations to generate electricity. The increased CO₂ enhances the greenhouse effect, trapping infrared radiation and raising Earth’s average temperature – a physical phenomenon with biological consequences, such as changing habitats and migration patterns.
从物理角度看,燃烧化石燃料将化学势能转化为热能和光能,这些能量可被利用来做功,例如在发电站中发电。增加的 CO₂ 加剧了温室效应,困住红外辐射并升高地球平均温度——这是一种物理现象,却带来生物学后果,比如栖息地变化和迁徙模式改变。
Linked problem: A car engine burns 2 kg of octane (C₈H₁₈). The balanced equation is 2C₈H₁₈ + 25O₂ → 16CO₂ + 18H₂O. Calculate the mass of CO₂ produced (C=12, H=1, O=16). If a tree absorbs 22 kg of CO₂ per year, how many trees are needed to absorb the CO₂ from one full tank? Discuss the biological limitations of relying on tree planting alone to offset emissions.
关联问题: 某汽车发动机燃烧2公斤辛烷 (C₈H₁₈)。配平方程式为 2C₈H₁₈ + 25O₂ → 16CO₂ + 18H₂O。计算产生的 CO₂ 质量(C=12, H=1, O=16)。如果一棵树每年吸收22公斤 CO₂,要抵消一箱油产生的 CO₂ 需要多少棵树?讨论仅靠植树来抵消排放的生物学局限性。
4. Forces and Motion in Living Systems | 生命系统中的力与运动
The human body is a masterpiece of physics in action. When you walk, muscles exert forces on bones via tendons, creating moments around joints. The principle of moments states that for a lever in balance, total clockwise moment = total anticlockwise moment. The elbow joint is a third-class lever: the effort (biceps) is between the fulcrum (elbow) and the load (hand). This requires a larger effort force but allows greater range of motion and speed – a biological adaptation.
人体是行动中的物理杰作。走路时,肌肉通过肌腱对骨骼施力,绕关节产生力矩。杠杆平衡的力矩原理为:总顺时针力矩 = 总逆时针力矩。肘关节是一个第三类杠杆:动力(二头肌)位于支点(肘部)和负载(手)之间。这需要较大的动力,但能获得更大的运动范围和速度——一种生物学适应性。
Plants also use physics: water is drawn up xylem vessels by transpiration pull, which relies on the cohesion and adhesion of water molecules (a property studied in materials physics). The rate of water uptake can be measured using a potometer. Wind speed, temperature, and humidity affect this rate – all physical factors that influence kinetic energy of water vapour particles and diffusion gradients.
植物也利用物理原理:蒸腾拉力将水提升至木质部导管,这依赖于水分子的内聚力和附着力(材料物理学研究的性质)。可用蒸腾计测量吸水速率。风速、温度和湿度影响这一速率——所有物理因素都影响水蒸气粒子的动能和扩散梯度。
Task: A footballer kicks a ball of mass 0.45 kg, giving it an acceleration of 40 m/s². Calculate the force applied (F = ma). The ball then flies through the air with a parabolic trajectory. Explain why the path is curved, referencing balanced/unbalanced forces and the gravitational force. Link to the biology: how do the player’s muscle fibres produce such force? (Hint: sliding filament theory).
任务: 一位足球运动员踢一个质量为0.45公斤的球,使其获得40 m/s²的加速度。计算施加的力 (F = ma)。球随后以抛物线轨迹在空中飞行。解释为什么路径是弯曲的,需提及平衡/非平衡力和重力。联系生物学:球员的肌肉纤维如何产生这么大的力?(提示:肌丝滑动学说)。
5. Rates of Reaction and Enzyme Activity | 反应速率与酶活性
Enzymes are biological catalysts that speed up chemical reactions in living organisms. They work by lowering the activation energy, which is the minimum energy needed for a reaction to occur. This is exactly the same concept as in chemistry, where catalysts provide an alternative pathway. The lock-and-key model explains enzyme specificity. Factors affecting enzyme activity – temperature, pH, and substrate concentration – mirror the factors that affect any chemical reaction rate: collision frequency and energy.
酶是生物催化剂,可加速生物体内的化学反应。它们通过降低活化能(反应发生所需的最低能量)起作用。这与化学中催化剂提供替代途径的概念完全相同。锁钥模型解释了酶的专一性。影响酶活性的因素——温度、pH 和底物浓度——与影响任何化学反应速率的因素相呼应:碰撞频率和能量。
Denaturation occurs when the active site loses its shape due to extreme pH or high temperature. This is a permanent change in the protein’s tertiary structure. From a chemistry perspective, hydrogen bonds and ionic bonds holding the protein fold are broken. Physics enters when we consider the collision theory: at optimal temperature, more particles have energy greater than activation energy, but too high temperature causes irreversible structural damage.
当酶因极端 pH 或高温而失去活性位点形状时,发生变性。这是蛋白质三级结构的永久性变化。从化学角度看,维持蛋白质折叠的氢键和离子键断裂。物理学则在考虑碰撞理论时介入:在最适温度下,更多粒子能量超过活化能,但温度过高会导致不可逆的结构损伤。
Experiment link: Investigating the effect of temperature on the rate of hydrogen peroxide decomposition by catalase (from potato). This involves measuring the volume of oxygen gas produced over time – a gas collection method used in chemistry. Plot a graph of volume (y-axis) vs time (x-axis); the slope gives the rate. At 40°C the rate is highest, then drops at 60°C due to denaturation. Compare this to the effect of temperature on a purely chemical reaction like magnesium and acid. How are the patterns similar or different?
实验联系: 研究温度对过氧化氢酶(来自土豆)分解过氧化氢速率的影响。这涉及测量随时间产生的氧气体积——一种化学中使用的气体收集方法。绘制体积(y轴)对时间(x轴)的图;斜率给出速率。40°C 时速率最高,60°C 时因变性下降。将此与温度对纯化学反应(如镁与酸)的影响进行比较。模式有何异同?
6. Waves, Light and Photosynthesis | 波、光与光合作用
Photosynthesis depends on light energy being absorbed by chlorophyll. Light is an electromagnetic wave that travels as transverse waves. The energy of light is related to its frequency by the equation E = hf (h is Planck’s constant). Chlorophyll absorbs mainly red and blue wavelengths and reflects green – hence plants appear green. This is wave physics and quantum energy transfer, coupled with biology.
光合作用依赖叶绿素吸收光能。光是一种以横波形式传播的电磁波。能量与频率的关系由 E = hf 给出(h 为普朗克常数)。叶绿素主要吸收红光和蓝光波长,反射绿光——因此植物呈现绿色。这是波动物理学、量子能量转移与生物学的结合。
In the lab, you can use a spectrometer to measure the absorption spectrum of chlorophyll extract. The rate of photosynthesis can be measured by counting oxygen bubbles from pondweed under different colour filters. This is an excellent integrated experiment: physics provides the wave properties of light, chemistry provides the pigment extraction, and biology the physiological process.
在实验室中,你可以用分光仪测量叶绿素提取物的吸收光谱。光合作用速率可通过在不同颜色滤光片下计算水草产生的氧气泡来测量。这是一个极好的综合实验:物理学提供光的波动性质,化学提供色素提取,生物学提供生理过程。
Numerical link: If red light has a wavelength of 680 nm, find its frequency (speed of light = 3.0 × 10⁸ m/s). How many photons are required to produce one molecule of glucose if each photon provides 2.9 × 10⁻¹⁹ J and the overall energy needed per glucose is 2.8 × 10⁻¹⁸ J? This bridges wave equation v = fλ with energy quantization and metabolic energy demands.
数值联系: 如果红光波长为680 nm,求其频率(光速 = 3.0 × 10⁸ m/s)。若每个光子提供 2.9 × 10⁻¹⁹ J 能量,而每产生一个葡萄糖分子需要 2.8 × 10⁻¹⁸ J,需要多少个光子?这连接了波动方程 v = fλ、能量量子化与代谢能量需求。
7. Electricity, Nerve Impulses and Electrolysis | 电、神经冲动与电解
Nerve impulses are electrical signals generated by the movement of ions (Na⁺ and K⁺) across neuron membranes. This is an electrochemical process, analogous to the flow of charge in a circuit. The resting potential is about –70 mV, maintained by the sodium-potassium pump, which actively transports Na⁺ out and K⁺ in, using ATP. When an impulse passes, depolarization occurs as sodium channels open, allowing Na⁺ to rush in – a sudden change in potential difference.
神经冲动是由离子(Na⁺ 和 K⁺)穿过神经元膜运动产生的电信号。这是一个电化学过程,类似于电路中电荷的流动。静息电位约 –70 mV,由钠钾泵维持,该泵利用 ATP 将 Na⁺ 主动运出、将 K⁺ 运入。冲动通过时,钠通道打开,Na⁺ 涌入,发生去极化——电位的突然变化。
This mirrors electrolysis, where an external potential difference forces ions to move: cations to cathode, anions to anode. In both systems, selective permeability and applied voltage drive ion movement. The physics of current (I = Q/t) applies: the number of ions moving per second determines the current. You can even compare the energy used: the ATP consumed per impulse vs electrical energy in electrolysis.
这类似于电解,外部电位差迫使离子移动:阳离子移向阴极,阴离子移向阳极。在两个系统中,选择透过性和施加电压驱动离子移动。物理学的电流公式 (I = Q/t) 适用:每秒移动的离子数决定电流大小。甚至可以比较消耗的能量:每次冲动消耗的 ATP 对比电解中的电能。
Scenario question: In an electrolysis cell, a current of 0.5 A is passed for 10 minutes. Calculate the total charge transferred (Q = It). If each sodium ion carries a charge of 1.6 × 10⁻¹⁹ C, how many sodium ions moved? During a nerve impulse, about 5,000 sodium ions enter per micrometre length of axon. Compare the scales: why do biological systems use much smaller currents? (Hint: consider resistance and heat generation).
情境题: 在电解池中,0.5 A 电流通过10分钟。计算转移的总电荷量 (Q = It)。如果每个钠离子带有 1.6 × 10⁻¹⁹ C 电荷,有多少钠离子移动?在一个神经冲动期间,每微米轴突长度约有5,000个钠离子进入。对比规模:为什么生物系统使用的电流小得多?(提示:考虑电阻和产热)。
8. Homeostasis and Negative Feedback: Engineering Control | 稳态与负反馈:工程控制
Homeostasis is the maintenance of a constant internal environment. Examples include body temperature and blood glucose regulation. The mechanism involves negative feedback: a change triggers a response that counteracts the change. This is identical to many engineering control systems, like a thermostat. If temperature rises, a sensor detects the deviation and activates cooling; if it falls, heating is activated. In the body, the hypothalamus acts as the sensor and controller.
稳态是维持内环境恒定。例子包括体温和血糖调节。其机制涉及负反馈:一个变化触发抵消该变化的响应。这与许多工程控制系统完全相同,如恒温器。温度升高时,传感器检测偏差并启动制冷;温度下降时,则启动加热。在人体中,下丘脑充任传感器和控制器。
From a physics perspective, you can model this with a simple circuit: a thermistor in a potential divider detects temperature changes; when resistance changes, the output voltage switches a transistor, turning on a heater or fan. This is analogous to vasodilation/vasoconstriction and shivering. Chemistry is involved in the glucose regulation: insulin and glucagon are chemical messengers that stimulate the liver to store or release glucose (glycogen ←→ glucose). This is a chemical equilibrium shift under hormonal control.
从物理学角度,可以用一个简单电路建模:分压器中的热敏电阻检测温度变化;电阻变化使输出电压切换晶体管,开启加热器或风扇。这类似血管舒张/收缩和寒颤。化学则参与血糖调节:胰岛素和胰高血糖素作为化学信使,刺激肝脏储存或释放葡萄糖(糖原 ←→ 葡萄糖)。这是激素控制下的化学平衡移动。
Integrated design challenge: Design a feedback system to maintain a fish tank at 25°C using a thermistor, relay, and heater. Draw a circuit diagram. Now relate this to the human body’s response to cold: describe the physiological changes in terms of energy transfer and chemical reactions (e.g., increased respiration to generate heat). Explain why shivering involves rapid muscle contractions and how that relates to work done and heat generation.
综合设计挑战: 使用热敏电阻、继电器和加热器设计一个维持鱼缸在25°C的反馈系统。绘制电路图。然后将其与人体对寒冷的反应联系起来:用能量转移和化学反应描述生理变化(例如,增加呼吸以产生热量)。解释为什么寒颤涉及快速肌肉收缩,以及这与做功和产热的关系。
9. Material Cycling and Decomposition: Chemistry and Microbes | 物质循环与分解:化学与微生物
Decomposition breaks down dead organic matter, returning nutrients to the soil. This process is carried out by bacteria and fungi (decomposers) that secrete enzymes to break down complex molecules like proteins, lipids, and carbohydrates into simpler, soluble substances. Chemically, this is hydrolysis and oxidation. For example, urea (CO(NH₂)₂) is broken down into ammonia and carbon dioxide by the enzyme urease, releasing ammonium ions that plants can absorb.
分解作用分解死亡的有机物质,将养分归还土壤。这一过程由细菌和真菌(分解者)完成,它们分泌酶将蛋白质、脂类和碳水化合物等复杂分子分解为简单的可溶性物质。从化学角度看,这是水解和氧化。例如,尿素 (CO(NH₂)₂) 被脲酶分解为氨和二氧化碳,释放出植物可吸收的铵离子。
The rate of decay depends on temperature, oxygen (for aerobic respiration), and water – again mirroring factors affecting chemical reactions. In compost heaps, thermophilic bacteria generate heat, raising the core temperature above 60°C. This is a direct biological conversion of chemical energy to thermal energy. The carbon-to-nitrogen ratio (C:N) must be balanced; too much carbon slows decay, too much nitrogen produces ammonia smell – a stoichiometric consideration.
腐烂速率取决于温度、氧气(有氧呼吸)和水分——再次呼应影响化学反应速率的因素。在堆肥堆中,嗜热细菌产生热量,使核心温度升至60°C以上。这是化学能直接生物转化为热能。碳氮比 (C:N) 必须平衡;碳过多减慢腐烂,氮过多产生氨味——一个化学计量学考量。
Investigation: Design an experiment to test the effect of temperature on the decay of bread by mould. What variables need controlling? How would you measure the rate? Use terms from the enzymes topic. Now link to the carbon cycle: how does this process return CO₂ to the atmosphere? Write the word equation for aerobic respiration in decomposers. Calculate the mass of CO₂ released if 1 g of glucose is completely respired (Mr glucose = 180; CO₂ = 44). How many moles of CO₂ are produced per mole of glucose?
探究: 设计一个实验,测试温度对面包霉菌腐烂的影响。需要控制哪些变量?如何测量速率?使用酶主题中的术语。然后联系碳循环:这一过程如何将 CO₂ 归还大气?写出分解者有氧呼吸的文字方程式。计算如果1 g 葡萄糖被完全呼吸作用分解,释放的 CO₂ 质量(葡萄糖相对分子质量 180;CO₂ 44)。每摩尔葡萄糖产生多少摩尔 CO₂?
10. Genetics, Mutations and Radiation Physics | 遗传、突变与辐射物理
Mutations are changes in the DNA sequence. They can occur spontaneously during DNA replication or be induced by mutagens such as certain chemicals and ionising radiation. The physics of ionising radiation – alpha, beta, gamma, and X-rays – helps explain how these radiations can cause mutations. Ionising radiation carries enough energy to knock electrons out of atoms, creating ions. In a water molecule, this can produce free radicals that damage DNA.
突变是 DNA 序列的变化。它们可能在 DNA 复制期间自发产生,或被诱变剂如某些化学物质和电离辐射诱发。电离辐射的物理——α、β、γ 和 X 射线——有助于解释这些辐射如何导致突变。电离辐射携带足以将电子从原子中击出的能量,产生离子。在水中,这可产生损伤 DNA 的自由基。
Ultraviolet (UV) light, a non-ionising but high-energy wave, can cause thymine dimers in skin cells, leading to skin cancer. This links wave properties, energy, and biological effects. The damage depends on dose (energy absorbed per unit mass, measured in Gray, Gy) and radiation type (weighting factor). A Sievert (Sv) measures biological effect. Compare the penetrating power of different radiations: alpha cannot penetrate skin, beta can enter the body, gamma passes through tissues – this determines which organs are at risk.
紫外线 (UV) 是一种非电离但高能的波,可导致皮肤细胞中胸腺嘧啶二聚体的形成,进而引发皮肤癌。这连接了波的性质、能量和生物学效应。损伤取决于剂量(每单位质量吸收的能量,单位戈瑞 Gy)和辐射类型(权重因子)。西弗特 (Sv) 衡量生物学效应。比较不同辐射的穿透力:α 不能穿透皮肤,β 可进入体内,γ 穿过组织——这决定了哪些器官面临风险。
Risk analysis problem: A lab worker handles a radioactive source emitting beta particles. The source has an activity of 2 MBq and each beta particle has an energy of 0.5 MeV. If the worker’s hand (mass 300 g) absorbs 10% of the emitted energy over 1 hour, calculate the absorbed dose in Gy (1 eV = 1.6 × 10⁻¹⁹ J). Discuss the potential biological consequences in terms of DNA damage and mutation. How could you reduce exposure using the principles of time, distance, and shielding? Link to the concept of half-life and radioactive decay.
风险分析问题: 一名实验室工作人员操作一个发射 β 粒子的放射源。源活度为2 MBq,每个 β 粒子能量为0.5 MeV。如果工作人员的手(300克)吸收了1小时内发射能量的10%,计算吸收剂量(Gy)(1 eV = 1.6 × 10⁻¹⁹ J)。讨论在 DNA 损伤和突变方面的潜在生物学后果。如何利用时间、距离和屏蔽原理减少暴露?联系半衰期和放射性衰变的概念。
11. Forces and Structures in Living Organisms: Biomimicry | 生物体中的力与结构:仿生学
Living organisms have evolved structures that are exceptionally efficient at withstanding forces. A bird’s wing is shaped as an aerofoil to generate lift via Bernoulli’s principle: faster airflow over the curved top creates lower pressure, producing an upward force. The same principle applies to aircraft wings. The hollow bones of birds reduce mass without sacrificing strength, a concept applied in engineering to design lightweight yet strong tubes.
生物体演化出极其擅长承受力的结构。鸟翼被塑造成翼型,通过伯努利原理产生升力:弯曲的上表面气流更快,产生较低压力,从而形成向上的力。同样原理适用于飞机机翼。鸟类中空的骨骼在减轻质量的同时不牺牲强度,这一概念被应用于工程学以设计轻质坚固的管道。
Plant stems and tree trunks are composite materials with cellulose fibres embedded in a lignin matrix, akin to reinforced concrete. The arrangement of vascular bundles in a stem resists bending and twisting forces. An oak tree can withstand incredible wind loads by distributing stress, a lesson for architects designing skyscrapers. Also, spider silk has a higher tensile strength than steel of the same diameter; it’s a protein fibre whose chemistry gives it unique physical properties.
植物茎干和树干是由纤维素纤维嵌于木质素基质中的复合材料,类似于钢筋混凝土。茎中维管束的排列抵抗弯曲和扭转力。橡树能通过应力分布抵御强大风力,这是建筑师设计摩天大楼的借鉴。此外,蜘蛛丝的拉伸强度高于同直径的钢材;这是一种蛋白质纤维,其化学组成赋予其独特的物理性能。
Calculation and discussion: A spider silk strand of diameter 0.01 mm can support a mass of 5 g. Calculate the stress (force per unit area) if the force is weight. Compare to steel (stress limit ~ 2.5 × 10⁸ Pa). Why is spider silk so strong at a molecular level? (Hint: hydrogen bonds and beta-sheet structures). How could studying such materials lead to advances in medicine (sutures) and aerospace?
计算与讨论: 一根直径为0.01 mm的蜘蛛丝可支撑5克的质量。计算力为重量时的应力(单位面积受力)。与钢材比较(应力极限 ~ 2.5 × 10⁸ Pa)。为什么蜘蛛丝在分子水平上如此坚固?(提示:氢键和β-折叠结构)。研究这类材料如何推动医学(缝合线)和航天领域的进步?
12. Acids, Bases and Digestion: The Stomach as a Chemical Reactor | 酸、碱与消化:胃作为化学反应器
The stomach produces hydrochloric acid (HCl) to create an acidic environment (pH 1-2) that kills bacteria and provides the optimum pH for the protease enzyme pepsin. The stomach wall is protected by a thick mucus layer that acts as a barrier – otherwise the acid would damage the cells. Antacids are bases used to neutralise excess stomach acid, relieving indigestion. Common antacids include magnesium hydroxide Mg(OH)₂ and calcium carbonate CaCO₃. The neutralisation reaction: 2HCl + Mg(OH)₂ → MgCl₂ + 2H₂O.
胃分泌盐酸 (HCl) 以营造酸性环境(pH 1-2),杀灭细菌并为蛋白酶胃蛋白酶提供最适 pH。胃壁由一层厚黏液保护作为屏障——否则酸会损伤细胞。抗酸剂是用于中和多余胃酸的碱,缓解消化不良。常见的抗酸剂包括氢氧化镁 Mg(OH)₂ 和碳酸钙 CaCO₃。中和反应:2HCl + Mg(OH)₂ → MgCl₂ + 2H₂O。
From a chemistry perspective, pH is a measure of hydrogen ion concentration: pH = -log₁₀[H⁺]. The stomach lining cells actively pump H⁺ into the lumen using the hydrogen-potassium ATPase pump – this is active transport, using up to 40% of the cell’s ATP. This integrates the physics of electrical potential (since pumping ions creates a charge gradient), the chemistry of acid secretion, and the biology of enzyme function.
从化学角度,pH 是氢离子浓度的量度:pH = -log₁₀[H⁺]。胃壁细胞通过氢钾 ATP 酶泵主动将 H⁺ 泵入胃腔——这是主动运输,消耗细胞达40%的 ATP。这整合了电位的物理学(泵送离子产生电荷梯度)、胃酸分泌的化学及酶功能的生物学。
Exam-style task: A tablet of antacid contains 500 mg of CaCO₃. Write the balanced equation for its reaction with HCl. Calculate the number of moles of HCl neutralised (Ca=40, C=12, O=16). Assuming stomach acid is 0.1 M HCl, what volume of acid can one tablet neutralise? Discuss why taking too many antacids might raise stomach pH too high and affect protein digestion – link to enzyme activity graphs.
考试风格任务: 一片抗酸片含500 mg CaCO₃。写出其与 HCl 反应的配平方程式。计算被中和的 HCl 摩尔数(Ca=40, C=12, O=16)。假设胃酸为0.1 M HCl,一片可中和多少体积的酸?讨论为何服用过多抗酸剂可能使胃 pH 过高并影响蛋白质消化——联系酶活性曲线图。
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