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GRADE 11 PHYSICAL SCIENCES OUTLINE JUNE EXAMINATION 2016 FORMAT Physics and Chemistry Focus 3 hours Multiple-choice questions Marks 20 Longer questions assessing all themes 130 Total COGNITIVE LEVELS Recall Comprehension Analysis, Application Evaluation, Synthesis 150 15 % 30 % 45 % 10 % CONTENT VECTORS IN TWO DIMENSIONS Resultant of perpendicular vectors, Draw a sketch of the vectors (parallel and perpendicular) on the Cartesian plane Add co-linear vectors along the parallel and perpendicular direction to obtain the net parallel component (Rx) and a net perpendicular component (Ry) Sketch Rx and Ry and determine the magnitude of the resultant using the theorem of Pythagoras. Determine the resultant vector using a calculation (by component method) for a maximum of four force vectors in both 1-Dimension and 2-Dimensions Understand what is a closed vector diagram Determine the direction of the resultant using simple trigonometric ratios Resolution of a vector into its parallel and perpendicular components Draw a sketch of the vector on the Cartesian plane showing its magnitude and the angle (θ) between the vector and the x-axis Use Rx= Rcos(θ) for the resultant x-component Use Ry= Rsin(θ) for the resultant y-component NEWTON'S LAWS AND APPLICATION OF NEWTON'S LAWS Different kinds of forces: weight, normal force, frictional force, applied force (push, pull), tension (strings or cables) Define normal force, N, as the force or the component of a force which a surface exerts on an object with which it is in contact, and which is perpendicular to the surface. Define frictional force, f, as the force that opposes the motion of an object and which acts parallel to the surface. Define static frictional force, fmaxs, as the force that opposes the tendency of motion of a stationary object relative to a surface. Define kinetic frictional force, fk, as the force that opposes the motion of a moving object relative to a surface. Know that a frictional force: Is proportional to the normal force Is independent of the area of contact Is independent of the velocity of motion Solve problems using fsmax = μsN where fsmax is the maximum static frictional force and μs is the coefficient of static friction. NOTE: If a force, F, applied to a body parallel to the surface does not cause the object to move, F is equal in magnitude to the static frictional force. The static frictional force is a maximum (fsmax) just before the object starts to move across the surface. If the applied force exceeds fsmax, a resultant/net force accelerates the object. Solve problems using fk = μkN, where fk is the kinetic frictional force and μk the coefficient of kinetic friction. Force diagrams, free-body diagrams Draw force diagrams. Draw free-body diagrams. (This is a diagram that shows the relative magnitudes and directions of forces acting on a body/particle that has been isolated from its surroundings) Resolve a two-dimensional force (such as the weight of an object on an inclined plane) into its parallel (x) and perpendicular (y) components. Determine the resultant/net force of two or more forces. Newton's first, second and third laws of motion State Newton's first law of motion: A body will remain in its state of rest or motion at constant velocity unless a non-zero resultant/net force acts on it. Discuss why it is important to wear seatbelts using Newton's first law of motion. State Newton's second law of motion: When a resultant/net force acts on an object, the object will accelerate in the direction of the force at an acceleration directly proportional to the force and inversely proportional to the mass of the object. Draw force diagrams and free-body diagrams for objects that are in equilibrium or accelerating. Apply Newton's laws of motion to a variety of equilibrium and non-equilibrium problems including: A single object: - Moving on a horizontal plane with or without friction - Moving on an inclined plane with or without friction - Moving in the vertical plane (lifts, rockets, etc.) Two-body systems (joined by a light inextensible string): - Both on a flat horizontal plane with or without friction - One on a horizontal plane with or without friction, and a second hanging vertically from a string over a frictionless pulley - Both on an inclined plane with or without friction - Both hanging vertically from a string over a frictionless pulley State Newton's third law of motion: When one body exerts a force on a second body, the second body simultaneously exerts a force of equal magnitude in the opposite direction on the first body. Identify action-reaction pairs. List the properties of action-reaction pairs. Newton's Law of Universal Gravitation State Newton's Law of Universal Gravitation: Each body in the universe attracts every other body with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centres. Gm1m2 Solve problems using . F= r2 Gm Calculate acceleration due to gravity on a planet using . g = 2 r Describe weight as the gravitational force the Earth exerts on any object on or near its surface. Calculate weight using the expression w = mg. Calculate the weight of an object on other planets with different values of gravitational Distinguish between mass and weight. Explain weightlessness. ATOMIC COMBINATIONS: MOLECULAR STRUCTURE Represent atoms using Lewis diagrams Explain, referring to diagrams showing electrostatic forces between protons and electrons, and in terms of energy considerations, why - two H atoms form an H2 molecule, but He does not form He2 Draw a Lewis diagram for the hydrogen molecule Describe a covalent chemical bond as a shared pair of electrons Describe and apply simple rules to deduce bond formation, viz. o different atoms, each with an unpaired valence electron can share these electrons to form a chemical bond o different atoms with paired valence electrons called lone pairs of electrons, cannot share these four electrons and cannot form a chemical bond o different atoms, with unpaired valence electrons can share these electrons and form a chemical bond for each electron pair shared (multiple bond formation) o atoms with an incomplete complement of electrons in their valence shell can share a lone pair of electrons from another atom to form a coordinate covalent or dative covalent bond (e.g. NH4+, H3O+) Draw Lewis diagrams, given the formula and using electron configurations, for o simple molecules (e.g. F2, H2O, NH3, HF, OF2, HOCℓ) o molecules with multiple bonds e.g. (N2, O2 and HCN) Molecular shape as predicted using the Valence Shell Electron Pair Repulsion (VSEPR) theory State the major principles used in the VSEPR The five ideal molecular shapes according to the VSEPR model. (Ideal shapes are found when there are NO lone pairs on the central atom ONLY bond pairs.) A is always the central atom and X are the terminal atoms o linear shape AX2 (e.g. CO2 and BeCℓ2) o trigonal planar shape AX3 (e.g. BF3) o tetrahedral shape AX4 (e.g. CH4) o trigonal bipyramidal shape AX5 (e.g. PCℓ5) o octahedral shape AX6 (e.g. SF6) Molecules with lone pairs on the central atom CANNOT have one of the ideal shapes e.g. water molecule o Deduce the shape of molecules like CH4,NH3, H2O, BeF2 and BF3 molecules with more than four bonds like PCℓ5 and SF6, and molecules with multiple bonds like CO2 and SO2 and C2H2 from their Lewis diagrams using VSEPR theory Electronegativity of atoms to explain the polarity of bonds. Explain the concepts - Electronegativity - Non-polar bond with examples, e.g. H-H - Polar bond with examples e.g. H‑ Cℓ Show polarity of bonds using partial charges δ+ H - Cl δCompare the polarity of chemical bonds using a table of electronegativities With an electronegativity difference ΔEN > 2.1 electron transfer will take place and the bond would be ionic With an electronegativity difference ΔEN > 1 the bond will be covalent and polar With an electronegativity difference ΔEN < 1 the bond will be covalent and very weakly polar With an electronegativity difference ΔEN = 0 the bond will be covalent and non-polar Show how polar bonds do not always lead to polar molecule Bond energy and length Define bond energy Define bond length Explain the relationship between bond energy and bond length Explain the relationship between the strength of a bond between two chemically bonded atoms and the length of the bond between them size of the bonded atoms number of bonds (single, double, triple) between the atoms Intermolecular forces Name and explain the different intermolecular forces: (i) ion-dipole forces, (ii) ion-induced dipole forces and (iii) dipole-dipole forces (iv) dipole-induced dipole forces (v) induced dipole forces with hydrogen bonds a special case of dipole-dipole forces. The last three forces (involving dipoles) are also called Van der Waals forces Explain hydrogen bonds (dipole-dipole) Define a covalent molecule Distinguish between intermolecular forces and interatomic forces using a diagram of a group of small molecules; and in words Represent a common substance, made of small molecules, like water, using diagrams of the molecules, to show microscopic representations of ice H2O(s), water liquid H2O(ℓ) and water vapour H2O(g) Illustrate the proposition that intermolecular forces increase with increasing molecular size with examples e.g. He, O2, C8H18 (petrol), C23H48(wax). (Only for van der Waals forces.) Explain density of material in terms of the number of molecules in a unit volume, e.g. compare gases, liquids and solids Explain the relationship between the strength of intermolecular forces and melting points and boiling points of substances composed of small molecules Contrast the melting points of substances composed of small molecules with those of large molecules where bonds must be broken for substances to melt Describe thermal expansion of a substance and how it is related to the motion of molecules in a substance composed of small molecules e.g. alcohol in a thermometer Explain the differences between thermal conductivity in non-metals and metals GEOMETRIC OPTICS Refraction State the law of reflection Define the speed of light as being constant when passing through a given medium and having a maximum value of c =3 x 108 m.s-1 in a vacuum. Define refraction Define refractive index as n = c/v Define optical density Know that the refracted index is related to the optical density. Explain that refraction is a change of wave speed in different media, while the frequency remains constant Define Normal Define angle of incidence Define angle of refraction Sketch ray diagrams to show the path of a light ray through different media Snell’s Law State the relationship between the angles of incidence and refraction and the refractive indices of the media when light passes from one medium into another (Snell’s Law) n1sin θ1 = n2sinθ2 Apply Snell’s Law to problems involving light rays passing from one medium into another Draw ray diagrams showing the path of light when it travels from a medium with higher refractive index to one of lower refractive index and vice versa Critical angles and total internal reflection Explain the concept of critical angle List the conditions required for total internal reflection Use Snell’s Law to calculate the critical angle at the surface between a given pair of media Explain the use of optical fibres in endoscopes and telecommunications QUANTITATIVE ASPECTS OF CHEMICAL CHANGE The mole concept Define one mole as the amount of substance having the same number of particles as there are atoms in 12 g carbon-12. Describe Avogadro’s number, NA, as the number of particles (atoms, molecules, formula-units) present in one mole (NA = 6,023 x 1023 particles∙mol-1). Define molar mass as the mass of one mole of a substance measured in g·mol-1. Calculate the molar mass of a substance given its formula. Molar volume of gases State Avogadro’s Law i.e. one mole of any gas occupies the same volume at the same temperature and pressure. At STP: 1 mole of any gas occupies 22,4 dm3 at 0 °C (273 K) and 1 atmosphere (101,3 kPa). Thus the molar gas volume, VM, at STP = 22,4 dm3∙mol-1. Volume relationships in gaseous reactions Interpret balanced equations in terms of volume relationships for gases, i.e. under the same conditions of temperature and pressure, equal amounts (in mole) of all gases occupy the same volume. Concentration of solutions Define concentration as the amount of solute per litre of solution. n Calculate concentration in mol·ℓ-1 (or mol·dm-3) using c . V More complex stoichiometric calculations Determine the empirical formula and molecular formula of compounds. Determine the percentage yield of a chemical reaction. Determine percentage purity or percentage composition, e.g. the percentage CaCO3 in an impure sample of seashells. Perform stoichiometric calculations based on balanced equations that may include limiting reagents Motion of particles; Kinetic theory of gases Describe the motion of individual gas molecules: o Molecules are in constant motion and collide with each other and the walls of the container. o There are forces of attraction between molecules. o Molecules in a gas move at different speeds. Describe an ideal gas as a gas: o That has identical particles of zero volume o With no intermolecular forces between particles o In which all collisions of the molecules with themselves or the walls of the container, are perfectly elastic Explain that real gases deviate from ideal gas behaviour at high pressures and low temperatures. State the conditions under which a real gas approaches ideal gas behaviour. Ideal gas law State Boyle’s law: The pressure of an enclosed gas is inversely proportional to the volume it occupies at constant temperature. 1 In symbols: p , therefore p1V1 = p2V2, T = constant V State Charles’ Law: The volume of an enclosed gas is directly proportional to its kelvin temperature provided the pressure is kept constant. V1 V2 , p = constant T1 T2 State that the pressure of a gas is directly proportional to its temperature in p p kelvin at constant volume (Gay Lussac). In symbols: pT , therefore 1 2 , T1 T2 V = constant For each of the above three relationships: o Interpret a table of results or a graph o Draw a graph from given results o Solve problems using a relevant equation o Use kinetic theory to explain the gas laws pV p V Use the general gas equation, 1 1 2 2 , to solve problems. T1 T2 Use the ideal gas equation, pV = nRT, to solve problems. Convert temperatures in celsius to kelvin for use in ideal and general gas equations. In symbols: VT , therefore Temperature and heating, pressure Explain the temperature of a gas in terms of the average kinetic energy of the molecules of the gas. Explain the pressure exerted by a gas in terms of the collision of the molecules with the walls of the container.