An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
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Chapter 1.1, Problem 2P
The Rankine temperature scale
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Convert the following temperatures to their values on the Fahrenheit and Kelvin scales.
(a) the sublimation point of dry ice, -78.5°C
Fahrenheit scale
oF
Kelvin scale
K
(b) human body temperature, 36.8°C
Fahrenheit scale
°F
Kelvin scale
K
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A person taking a reading of the temperature in a freezer in Celsius makes two mistakes: first omitting the negative sign and then thinking the temperature is Fahrenheit. That is, the person reads – x °C as x °F . Oddly enough, the result is the correct Fahrenheit temperature. What is the original Celsius reading? Round your answer to three significant figures.
The Rankine temperature scale (abbreviated OR) uses the same size degrees as Fahrenheit, but measured up from absolute zero like kelvin (so Rankine is to Fahrenheit as kelvin is to Celsius). Find the conversion formula between Rankine and Fahrenheit, and also between Rankine and kelvin. What is room temperature on the Rankine scale?
Chapter 1 Solutions
An Introduction to Thermal Physics
Ch. 1.1 - Prob. 1PCh. 1.1 - The Rankine temperature scale (abbreviatedR) uses...Ch. 1.1 - Prob. 3PCh. 1.1 - Does it ever make sense to say that one object is...Ch. 1.1 - Prob. 5PCh. 1.1 - Give an example to illustrate why you cannot...Ch. 1.1 - Prob. 7PCh. 1.1 - For a solid, we also define the linear thermal...Ch. 1.2 - What is the volume of one mole of air, at room...Ch. 1.2 - Energy in Thermal Physics Estimate the number of...
Ch. 1.2 - Rooms A and B are the same size, and are connected...Ch. 1.2 - Calculate the average volume per molecule for an...Ch. 1.2 - A mole is approximately the number of protons in a...Ch. 1.2 - Calculate the mass of a mole of dry air, which is...Ch. 1.2 - Estimate the average temperature of the air inside...Ch. 1.2 - Prob. 16PCh. 1.2 - Prob. 17PCh. 1.2 - Prob. 18PCh. 1.2 - Suppose you have a gas containing hydrogen...Ch. 1.2 - Prob. 20PCh. 1.2 - During a hailstorm, hailstones with an average...Ch. 1.2 - Prob. 22PCh. 1.3 - Calculate the total thermal energy in a liter of...Ch. 1.3 - Calculate the total thermal energy in a gram of...Ch. 1.3 - List all the degrees of freedom, or as many as you...Ch. 1.4 - A battery is connected in series to a resistor,...Ch. 1.4 - Give an example of a process in which no heat is...Ch. 1.4 - Estimate how long it should take to bring a cup of...Ch. 1.4 - A cup containing 200 g of water is sitting on your...Ch. 1.4 - Put a few spoonfuls of water into a bottle with a...Ch. 1.5 - Imagine some helium in cylinder with an initial...Ch. 1.5 - Prob. 32PCh. 1.5 - An ideal gas is made to undergo the cyclic process...Ch. 1.5 - An ideal diatomic gas, in a cylinder with a...Ch. 1.5 - Prob. 35PCh. 1.5 - In the course of pumping up a bicycle tire, a...Ch. 1.5 - Prob. 37PCh. 1.5 - Two identical bubbles of gas form at the bottom of...Ch. 1.5 - By applying Newtons laws to the oscillations of a...Ch. 1.5 - In problem 1.16 you calculated the pressure of...Ch. 1.6 - To measure the heat capacity of an object, all you...Ch. 1.6 - The specific heat capacity of Albertsons Rotini...Ch. 1.6 - Calculate the heat capacity of liquid water per...Ch. 1.6 - Prob. 44PCh. 1.6 - Prob. 45PCh. 1.6 - Measured heat capacities of solids and liquids are...Ch. 1.6 - Your 200-g cup of tea is boiling-hot. About how...Ch. 1.6 - When spring finally arrives in the mountains, the...Ch. 1.6 - Prob. 49PCh. 1.6 - Consider the combustion of one mole of methane...Ch. 1.6 - Use the data at the back of this book to determine...Ch. 1.6 - The enthalpy of combustion of a gallon (3.8...Ch. 1.6 - Look up the enthalpy of formation of atomic...Ch. 1.6 - Prob. 54PCh. 1.6 - Heat capacities are normally positive, but there...Ch. 1.7 - Calculate the rate of heat conduction through a...Ch. 1.7 - Home owners and builders discuss thermal...Ch. 1.7 - According to a standard reference table, the R...Ch. 1.7 - Make a rough estimate of the total rate or...Ch. 1.7 - A frying pan is quickly heated on the stovetop to...Ch. 1.7 - Geologists measure conductive heat flow out of the...Ch. 1.7 - Consider a uniform rod of material whose...Ch. 1.7 - Prob. 63PCh. 1.7 - Make a rough estimate of the thermal conductivity...Ch. 1.7 - Prob. 65PCh. 1.7 - In analogy with the thermal conductivity, derive...Ch. 1.7 - Make a rough estimate of how far food coloring (or...Ch. 1.7 - Prob. 68PCh. 1.7 - Imagine a narrow pipe, filled with fluid, in which...Ch. 1.7 - Prob. 70P
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- At 25.0 m below the surface of the sea, where the temperature is 5.00C, a diver exhales an air bubble having a volume of 1.00 cm3. If the surface temperature of the sea is 20.0C, what is the volume of the bubble just before it breaks the surface?arrow_forwardIf the dew point of air (35°C and 1 atm) is 20 °C, what is the RH under that temperature and pressure (35°C and 1 atm)? What is the volume fraction?arrow_forwardThe root-mean-square speed (thermal speed) for a certain gas at 32 °C is 656 km. If the S temperature of the gas is now increased to 179°C, what will the root-mean-square (thermal) speed be (in km)?arrow_forward
- A Fahrenheit and a Celsius thermometer are both immersed in a fluid. What is the fluid temperature in Kelvin if the Fahrenheit reading is numerically twice that of the Celsius reading?arrow_forwardUnsatisfied with the Celsius and Kelvin temperature scales, you decide to create your own. On your temperature scale, the ice point is 0.0 degree M and the steam point is at 366.1 degrees M, where “M" stands for “my scale." What temperature on your scale corresponds to O K?arrow_forwardA student constructs a simple constant volume gas thermometer and calibrates it using the boiling point of water, 100°C, and the freezing point of a specific brine solution, -21°C. The pressures measured at the calibration points are 1.366 atm and 0.9267 atm, respectively. From these data, what temperature will the student calculate, in degrees Celsius, for the value of absolute zero? T =arrow_forward
- A gas thermometer is used to measure the temperature of a boiling liquid. The thermometer is calibrated at the triple point of water. Where the triple point pressure is 75 kPA and its liquid temperature reads 134 K, at 50 kPa it reads 134 K, and at 25 kPa it reads 133 K. What is the accurate temperature of the liquid in Kelvin?arrow_forwardOn a day where the air temperature is 5.2 °C, the wind starts to blow, which increases the surface transfer co-efficient from 10 to 13.9 watts per metre-squared-Kelvin. For a human body with skin temperature 34°C and surface area 1.5 square metres, what is the wind-chill temperature? Answer: Checkarrow_forwardWhat is the average distance between air molecules at standard temperature and pressure (0°C and 1 atm)?arrow_forward
- The gauge pressure in your car tires is 2.5×105 N/m² at a temperature of 35°C when you drive it onto a ferry boat to Alaska. What is their gauge pressure later, when their temperature has dropped to -40.0°C? HINT: Remember to convert temperatures to Kelvin first, and gauge pressure to absolute pressure (just add 1 atm = 1x10^5 N/m2). After that you can use the ideal gas law, but the result will be as an absolute pressure, so subtract back 1 atm before entering the result as a gauge pressure. Give your answer in units of [atm = 10^5 N/m2]arrow_forwardLet's say you park your car outside overnight during the winter, when you first parked your car the temperature was 29.0 degrees C but overnight the temperature drops to -7.0 degrees C. If your initial gauge pressure was 200kPa, what will be the gauge pressure (in KPa) after the change in temperature?arrow_forwardA sample of ozone (O3) is stored at x kelvin and 12.5 Pa. If the temperature is doubled to 2x kelvin, what will the new pressure be?arrow_forward
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