Temperature and Heat Transfer Problems, Study Guides, Projects, Research of Physics

A series of physics problems focused on temperature and heat transfer, suitable for engineering physics students. It covers topics such as temperature conversion, heat transfer through conduction, convection, and radiation, as well as phase changes and specific heat calculations. The problems require applying thermodynamic principles to solve real-world scenarios, enhancing problem-solving skills and understanding of heat transfer phenomena. The tutorial includes calculations involving temperature changes, heat required for phase transitions, and heat loss through various mechanisms, providing a comprehensive review of thermodynamics concepts. It is designed to help students develop a strong foundation in thermal physics and its applications in engineering.

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2024/2025

Available from 06/13/2025

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Phys151 Engineering Physics 2025
Tutorial on Temperature and Heat
1) On January 22, 1943, the temperature in Spearfish, South Dakota, rose from −4.F to
45.0°Fin just 2 minutes.
(a)What was the temperature change in Celsius degrees?
(b)The temperature in Browning, Montana, was 44.0°F on January 23, 1916. The next
day the temperature plummeted to 56°F. What was the temperature change in Celsius
degrees?
2) The pressure of a gas at the triple point of water is 1.35 atm. If its volume remains
unchanged, what will its pressure be at the temperature at which CO2 solidifies?
3) The outer diameter of a glass jar and the inner diameter of its iron lid are both 725 mm
at room temperature 20.0°C. What will be the size of the difference in these diameters
if the lid is briefly held under hot water until its temperature rises to 50.0 °C without
changing the temperature of the glass?
4) In very cold weather a significant mechanism for heat loss by the human body is energy
expended in warming the air taken into the lungs with each breath.
(a) On a cold winter day when the temperature is 20.0°C, what amount of heat is
needed to warm to body temperature (37°C) the 0.50 L of air exchanged with each
breath? Assume that the specific heat of air is 1020 J/kg. K and that 1.0 L of air has
mass 1.3 × 103 kg.
(b) How much heat is lost per hour if the respiration rate is 20 breaths per minute?
5) You have 750 g of water at 10.C in a large insulated beaker. How much boiling water
at 100.C must you add to this beaker so that the final temperature of the mixture will
be 75°C?
6) An open container holds 0.550 kg of ice at 15.C. The mass of the container can be
ignored. Heat is supplied to the container at the constant rate of 800.0 J/min for
500.0 min.
(a)After how many minutes does the ice start to melt?
(b)After how many minutes, from the time when the heating is first started, does the
temperature begin to rise above 0.00°C?
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Phys151 Engineering Physics 202 5

Tutorial on Temperature and Heat

  1. On January 22, 1943, the temperature in Spearfish, South Dakota, rose from − 4 .0°F to 45.0°Fin just 2 minutes. (a)What was the temperature change in Celsius degrees? (b)The temperature in Browning, Montana, was 44.0°F on January 23, 1916. The next day the temperature plummeted to −56°F. What was the temperature change in Celsius degrees?
  2. The pressure of a gas at the triple point of water is 1.35 atm. If its volume remains unchanged, what will its pressure be at the temperature at which CO 2 solidifies?
  3. The outer diameter of a glass jar and the inner diameter of its iron lid are both 725 mm at room temperature 20.0°C. What will be the size of the difference in these diameters if the lid is briefly held under hot water until its temperature rises to 50.0 °C without changing the temperature of the glass?
  4. In very cold weather a significant mechanism for heat loss by the human body is energy expended in warming the air taken into the lungs with each breath. (a) On a cold winter day when the temperature is − 20. 0 °C, what amount of heat is needed to warm to body temperature ( 37° C) the 0. 50 L of air exchanged with each breath? Assume that the specific heat of air is 1020 J/kg. K and that 1. 0 L of air has mass 1. 3 × 10 − 3 kg. (b) How much heat is lost per hour if the respiration rate is 20 breaths per minute?
  5. You have 750 g of water at 10 .0°C in a large insulated beaker. How much boiling water at 100 .0°C must you add to this beaker so that the final temperature of the mixture will be 75°C?
  6. An open container holds 0. 550 kg of ice at − 15 .0°C. The mass of the container can be ignored. Heat is supplied to the container at the constant rate of 800. 0 J/min for
  1. 0 min. (a)After how many minutes does the ice start to melt? (b)After how many minutes, from the time when the heating is first started, does the temperature begin to rise above 0 .00°C?
  1. Two rods, one made of brass and the other made of copper, are joined end to end. The length of the brass section is 0. 200 m and the length of the copper section is 0. 800 m. Each segment has cross-sectional area 0. 00500 m^2. The free end of the brass segment is in boiling water and the free end of the copper segment is in an ice and water mixture, in both cases under normal atmospheric pressure. The sides of the rods are insulated so there is no heat loss to the surroundings. (a) What is the temperature of the point where the brass and copper segments are joined? (b) What mass of ice is melted in 5. 00 min by the heat conducted by the composite rod?
  2. Suppose that the rod in figure is made of copper, is 45. 0 cm long, and has a cross- sectional area of 1. 25 cm^2. Let 𝑇𝐻 = 100 .0°C and 𝑇𝐶 = 0 .0°C. (a) What is the final steady-state temperature gradient along the rod? (b) What is the heat current in the rod in the final steady state? (c) What is the final steady-state temperature at a point in the rod 12. 0 cm from its left end?
  3. A long rod, insulated to prevent heat loss along its sides, is in perfect thermal contact with boiling water (at atmospheric pressure) at one end and with an ice–water mixture at the other (See the figure below). The rod consists of a 1. 00 m section of copper (one end in boiling water) joined end to end to a length 𝐿 2 of steel (one end in the ice–water mixture). Both sections of the rod have cross sectional areas of 4. 00 cm^2. The temperature of the copper–steel junction is 65. 0 °C after a steady state has been set up. (a) How much heat per second flows from the boiling water to the ice–water mixture? (c) What is the length L 2 of the steel section?
  4. A spherical pot contains 0. 75 L of hot coffee (essentially water) at an initial temperature of 95°C. The pot has an emissivity of 0. 60 , and the surroundings are at 20 .0°C. Calculate the coffee’s rate of heat loss by radiation.