Chapter 10 Solution for Transfer of Thermal Energy Worksheet Sec 3E Physics MCQ Q1 –C Q2 – B Q3 – D Q4 – A Q5 – B Q6 – A Q7 - D Section B Q1 Conduction, Convection and Radiation. bi) Radiation. It does not require a material medium to transfer thermal energy. bii) Convection. When heat is lost from the surface, the coffee at the surface contracts. Since density equals mass per unit volume, the cooler coffee on top becomes more dense than the surrounding coffee, hence it sinks. Coffee from the lower region rises as it is hotter and less dense. The difference in the densities of the coffee sets up a convection current, allowing the rest of the coffee to cool down. a) Section B Q2 a) b) c) The polished surface is shiny and therefore a poor emitter of infra red radiation. Thus reduces the rate of thermal energy lost to the surroundings, thus reducing the amount of electrical energy and time required to boil the water. When the kettle is switched on, the water near the heating elements expands. Since density equals mass per unit volume, the warmer water becomes less dense than the surrounding water, hence it rises. Water from the higher region sinks as it is cooler and denser. The difference in the densities of the water sets up a convection current, allowing the rest of the water to warmed up. Plastic is a poor conductor of heat. It protects the user from the heat generated by the kettle. Section B Q3 a) b) Birds fluff up their feathers to trap air. Air is a poor conductor of heat, hence it reduce heat loss from the body of the birds to the cold surroundings. Black surfaces are better absorber of heat than white surfaces. Hence, the black car will be hotter as it has gained more heat through radiation. Section B 4a)Conduction 4b) Convection. During the day, the land heats up faster than the sea. The air above the land will expands, become less dense (density = mass/volume) than the surrounding air and rises. The cooler air above the sea will move towards the land to replace the warm air, and in turn is being heated. This forms the sea breeze. At night, the land becomes cooler than the sea. The air above the sea will expands, become less dense than the surrounding air and rises. The cooler air above the land will move towards the sea to replace the warm air. This forms the land breeze. The difference in the densities of the air sets up a convection current, hence the breezes. Section B 5a) Conduction occurs in copper. On top of the heat transfer through the vibration of copper atoms, the presence of free electrons allow the heat to be transferred quickly. When the free electrons gained energy, they will move at great speed towards the cooler region, where they collide with the copper atoms, making them vibrate more vigorously. Hence heat is transferred to the cooler region. This process is known as free electron diffusion. Section B 5b) As copper is a good conductor of heat, it quickly conducts the heat away from the lamp to the surroundings, preventing it from reaching the ignition temperature. 6a) When the air at the top near the cooling unit is cooled, it contracts. Since density = mass/volume, the density of the cooled air will increase. When the density of the cooled air is higher than the surrounding air, it will sink. The warmer air at the bottom, being less dense, will rise to take the space. This difference in density of the air results in the convection current, which allows the air to circulate in the refrigerator. Section B 6b) The warm air that moves into the refrigerator is less dense and thus rise to the top of the refrigerator. The cooler air at the top will continue to sink towards the contents, therefore keeping them cool. 7a) Convection 7b) Pipe P. As the water in the boiler is heated, it expands and becomes less dense. Hence it rises towards pipe P and flows through it into the hot water tank. Section B 7c) This connection keeps the cold, denser water from pipe R below the hot water in the hot water tank, minimising heat loss by convection from the hot water to the cold water. 7d) In the event that the temperature of the water in the hot water tank becomes too high and causes large expansion of the hot water, pipe S allows the water to overflow into the cistern. Section C 1a) Aluminium and stainless steel are good conductors of heat. Thus, thermal enrgy from stoves is transferred quickly through the cooking pots or pans to cook the food. 1b) Sawdust is an insulator and traps air, which is also an insulator. This slows down the rate at which thermal energy is transferred from the surroundings to the ice blocks, preventing them from melting quickly. Section C 1c) The aluminium foil helps to cook the potatoes faster as aluminium is a good heat conductor. Thermal energy is transferred quickly through the aluminium foil to cook the potatoes. The foil is shiny and therefore a poor emitter of infrared radiation. It slows down the rate at which thermal energy is lost from the potatoes, thus keeping them for a longer time after they are removed from the barbecue pit. Section C 2a) In both metal and wood, the atoms or molecules that are heated vibrates vigorously Thermal energy is transferred when they collide with neighbouring atoms or molecules, making them vibrate more vigorously. This process of atomic or molecular vibration is slow. In metal, an additional mechanism called the free electron diffusion takes place. The free electrons in the metal gains kinetic energy upon heating, moves at great speeds towards the cooler regions. As the electrons move, they collide with the atoms in the cooler regions, making them vibrate more vigorously, hence energy is transferred. Metal is therefore a better conductor than wood. Section C 2b) As the water at the bottom is heated, it expands. Since density equal mass/volume, the expanded water is less dense than the surrounding water and rises. The cooler water at the top, being denser, will sink. The difference in the densities of water in the upper and lower region sets up a convection current, which transfer the heat to all parts of the water. Data Based Question 3a) A material of lower thermal conductivity. It greatly reduces the rate of conduction between the interior and the exterior of the house, thus helping to maintain the desired temperature inside the house. 3b) Expanded polystyrene foam. It has the lowest thermal conductivity of 0.012W/m/K. Data Based Question 2500J/s = 2500 joules per second Let t taken to be 1s, Q = 2500 J Using the formula provided, d = (thermal conductivity x A x ∆ θx t)/Q = (0.8 x 2 x 3 x 1)/2500 = 0.00192 m = 1.92 mm