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`Name the process of heat transfer in which actual motion of matter takes place. P289 1 2 What is the difference between natural convection and forced convection? Explain with examples P289 3 3 Explain how convection cycles are formed in the atmosphere? P289 3 4 What are trade winds? How they are formed? P289 2 5 What is meant by Radiation? Name the type of waves involved in the heat transfer by radiation. Give any two properties of these waves. Give the factors on which radiation depends upon. P290 3 6 Which coloured clothes will be comfortable to wear during summer and winter? Why? P290 2 7 Why the bottoms of the utensils are blackened? P290 1 8 Name the device that is used to minimize the heat losses between the contents and outside. Also explain how does it work P290 2 9 State Newton’s law of cooling. Derive an expression to find the time of cooling of a body through a particular range of temperature. Also plot the graph showing the cooling of hot water with time. P291 3 10 Explain how you will verify Newton’s law of cooling experimentally. P291 3 11 A pan filled with hot food cools from 94⁰C to 86⁰C in 2 minutes when the room temperature is at 20⁰C. How long will it take to cool from 71⁰C to 69⁰C? P292 3

Question

`Name the process of heat transfer in which actual motion of matter takes place. P289 1 2 What is the difference between natural convection and forced convection? Explain with examples P289 3 3 Explain how convection cycles are formed in the atmosphere? P289 3 4 What are trade winds? How they are formed? P289 2 5 What is meant by Radiation? Name the type of waves involved in the heat transfer by radiation. Give any two properties of these waves. Give the factors on which radiation depends upon. P290 3 6 Which coloured clothes will be comfortable to wear during summer and winter? Why? P290 2 7 Why the bottoms of the utensils are blackened? P290 1 8 Name the device that is used to minimize the heat losses between the contents and outside. Also explain how does it work P290 2 9 State Newton’s law of cooling. Derive an expression to find the time of cooling of a body through a particular range of temperature. Also plot the graph showing the cooling of hot water with time. P291 3 10 Explain how you will verify Newton’s law of cooling experimentally. P291 3 11 A pan filled with hot food cools from 94⁰C to 86⁰C in 2 minutes when the room temperature is at 20⁰C. How long will it take to cool from 71⁰C to 69⁰C? P292 3

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Solution

  1. The process of heat transfer in which actual motion of matter takes place is called convection. This occurs when heat is transferred through the movement of fluids, such as air or water.

  2. Natural convection and forced convection are two different types of convection. Natural convection occurs when heat is transferred due to the density differences in a fluid, causing it to rise and circulate. An example of natural convection is the rising of hot air above a heated surface. Forced convection, on the other hand, involves the use of external forces, such as fans or pumps, to enhance the movement of fluids and increase heat transfer. An example of forced convection is the use of a fan to cool a room.

  3. Convection cycles are formed in the atmosphere due to the uneven heating of the Earth's surface. As the sun heats the Earth's surface, the air above it becomes warmer and less dense, causing it to rise. This creates an area of low pressure. As the warm air rises, it cools and eventually sinks back down, creating an area of high pressure. This cycle of rising and sinking air creates convection currents in the atmosphere.

  4. Trade winds are steady winds that blow towards the equator from the northeast in the Northern Hemisphere and from the southeast in the Southern Hemisphere. They are formed due to the convection cycles in the atmosphere. As the warm air near the equator rises, it creates a low-pressure area. The cooler air from higher latitudes then flows towards the equator to replace the rising warm air, creating the trade winds.

  5. Radiation is the transfer of heat through electromagnetic waves. The type of waves involved in heat transfer by radiation are called infrared waves. Two properties of these waves are that they can travel through a vacuum and they can travel at the speed of light. The factors on which radiation depends include the temperature of the object emitting radiation, the surface area of the object, and the emissivity of the object's surface.

  6. Light-colored clothes, such as white or pastel colors, are more comfortable to wear during summer. This is because light-colored clothes reflect more sunlight, reducing the absorption of heat by the clothes and keeping the body cooler. On the other hand, dark-colored clothes, such as black or dark blue, are more comfortable to wear during winter. This is because dark-colored clothes absorb more sunlight, increasing the absorption of heat by the clothes and keeping the body warmer.

  7. The bottoms of utensils can become blackened due to the accumulation of soot or carbon deposits. This can happen when the utensils are exposed to high heat, such as when cooking over a flame or using a gas stove. The heat causes the organic matter in the food or cooking oil to break down and release carbon particles, which then settle on the bottom of the utensil and form a blackened layer.

  8. The device used to minimize heat losses between the contents and the outside is called an insulator. An insulator works by reducing the transfer of heat through conduction, convection, and radiation. It is typically made of materials with low thermal conductivity, such as foam or fiberglass. The insulator forms a barrier that slows down the transfer of heat, helping to maintain the temperature of the contents inside.

  9. Newton's law of cooling states that the rate of heat loss of a body is directly proportional to the temperature difference between the body and its surroundings. It can be expressed as:

Q = -kA(T - Ts)

Where Q is the rate of heat loss, k is the thermal conductivity of the body, A is the surface area of the body, T is the temperature of the body, and Ts is the temperature of the surroundings. The time of cooling of a body through a particular range of temperature can be found using the equation:

t = (1/k)ln((T - Ts)/(T0 - Ts))

Where t is the time, T0 is the initial temperature of the body, and ln is the natural logarithm. The graph showing the cooling of hot water with time would show a gradual decrease in temperature over time.

  1. To verify Newton's law of cooling experimentally, you can set up an experiment where a hot object, such as a cup of hot water, is placed in a controlled environment with a constant temperature. The temperature of the object is measured at regular intervals, and the rate of temperature change is calculated. By comparing the rate of temperature change with the temperature difference between the object and its surroundings, you can determine if it follows Newton's law of cooling.

  2. To calculate the time it will take for the pan filled with hot food to cool from 71⁰C to 69⁰C, we can use Newton's law of cooling. We know that the temperature difference between the pan and the room temperature is 71⁰C - 20⁰C = 51⁰C. We can assume that the rate of cooling is constant, so we can use the formula:

t = (1/k)ln((T - Ts)/(T0 - Ts))

Plugging in the values, we get:

t = (1/k)ln((71 - 20)/(94 - 20))

Simplifying further, we get:

t = (1/k)ln(51/74)

Using the given values, we can calculate the time it will take for the pan to cool from 71⁰C to 69⁰C.

This problem has been solved

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