(a)
The absolute zero in the new scale.
(a)
Answer to Problem 1P
The absolute zero in the new scale is
Explanation of Solution
Given info: The normal human body temperature in degree Fahrenheit is
Write the expression to convert the temperature scale.
Here,
Substitute
The freezing point of water in degree Fahrenheit is
Substitute
Solve equation (2) and (3).
The temperature of absolute zero in degree Fahrenheit is
Substitute
Conclusion:
Therefore, the absolute zero in the new scale is
(b)
The melting point of mercury in new scale.
(b)
Answer to Problem 1P
The melting point of mercury in new scale is
Explanation of Solution
Given info: The normal human body temperature in degree Fahrenheit is
Write the expression to convert the temperature scale.
Substitute
Conclusion:
Therefore, the melting point of mercury in new scale is
(c)
The boiling point of water in new scale.
(c)
Answer to Problem 1P
The boiling point of water in new scale is
Explanation of Solution
Given info: The normal human body temperature in degree Fahrenheit is
The boiling point of water in degree Fahrenheit is
Write the expression to convert the temperature scale.
Substitute
Conclusion:
Therefore, the boiling point of water in new scale is
(d)
The highest recorded air temperature on Earth’s surface in new scale.
(d)
Answer to Problem 1P
The highest recorded air temperature on Earth’s surface in new scale is
Explanation of Solution
Given info: The normal human body temperature in degree Fahrenheit is
Write the expression to convert the temperature scale.
Substitute
Conclusion:
Therefore, the highest recorded air temperature on Earth’s surface in new scale is
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Chapter 18 Solutions
Physics for Scientists and Engineers with Modern Physics
- According to the Ideal Gas Law, PV = KT, where P is pressure, V is volume, T is temperature (in kelvins), and k is a constant of proportionality. A tank contains 1300 cubic inches of nitrogen at a pressure of 40 pounds per square inch and a temperature of 300 K. (a) Determine k. k = (b) Write P as a function of V and T and describe the level curves. P = Setting P = c, the level curves are of the form V =arrow_forwardAccording to the Ideal Gas Law, PV = kT, where P is pressure, Vis volume, T is temperature (in Kelvins), and k is a constant of proportionality. A tank contains 2000 cubic inches of nitrogen at a pressure of 26 pounds per square inch and a temperature of 600 K. Determine the EXACT value of k.arrow_forwardAccording to the Ideal Gas Law, PV = kT, where P is pressure, V is volume, T is temperature (in kelvins), and k is a constant of proportionality. A tank contains 400 cubic inches of nitrogen at a pressure of 130 pounds per square inch and a temperature of 300 K. (a) Determine k.k = (b) Write P as a function of V and T and describe the level curves.P = (c) Setting P = c, the level curves are of the form V =arrow_forward
- At 10:30 AM, detectives discover a dead body in a room and measure its temperature at 27°C. One hour later, the body's temperature had dropped to 24.8°C. Determine how many hours had passed since the death occured (when the body temperature was a normal 37°C), by the time the body was discovered, assuming that the temperature in the room was held constant at 14°C. (Use decimal notation. Give your answer to one decimal place. Round any intermediate calculations, if needed, to no less than three decimal places.) the number of hours:arrow_forwardWhen doing numerical calculations involving temperature, you need to pay particular attention to the temperature scale you are using. In general, you should use the Kelvin scale (for which T = 0 represents absolute zero) in such calculations. This is because the standard thermodynamic equations (i.e., the ideal gas law and the formula for energy of a gas in terms of temperature) assume that zero degrees represents absolute zero. If you are given temperatures measured in units other than kelvins, convert them to kelvins before plugging them into these equations. (You may then want to convert back into the initial temperature unit to give your answer.) Part A The average kinetic energy of the molecules of an ideal gas at 10°C has the value K10. At what temperature T₁ (in degrees Celsius) will the average kinetic energy of the same gas be twice this value, 2K10? Express the temperature to the nearest integer. ► View Available Hint(s) T₁ = Submit Part B V ΑΣΦ Ć wwwwww ? °C The molecules in…arrow_forwardWhen doing numerical calculations involving temperature, you need to pay particular attention to the temperature scale you are using. In general, you should use the Kelvin scale (for which T = 0 represents absolute zero) in such calculations. This is because the standard thermodynamic equations (i.e., the ideal gas law and the formula for energy of a gas in terms of temperature) assume that zero degrees represents absolute zero. If you are given temperatures measured in units other than kelvins, convert them to kelvins before plugging them into these equations. (You may then want to convert back into the initial temperature unit to give your answer.) The average kinetic energy of the molecules of an ideal gas at 10°C has the value K10. At what temperature T₁ (in degrees Celsius) will the average kinetic energy of the same gas be twice this value, 2K10? Express the temperature to the nearest integer. ► View Available Hint(s) T₁ = Submit Part B IVE ΑΣΦ Ć ? °C The molecules in an ideal…arrow_forward
- When doing numerical calculations involving temperature, you need to pay particular attention to the temperature scale you are using. In general, you should use the Kelvin scale (for which T = 0 represents absolute zero) in such calculations. This is because the standard thermodynamic equations (i.e., the ideal gas law and the formula for energy of a gas in terms of temperature) assume that zero degrees represents absolute zero. If you are given temperatures measured in units other than kelvins, convert them to kelvins before plugging them into these equations. (You may then want to convert back into the initial temperature unit to give your answer.) The average kinetic energy of the molecules of an ideal gas at 10°C has the value K10. At what temperature T₁ (in degrees Celsius) will the average kinetic energy of the same gas be twice this value, 2K10? Express the temperature to the nearest integer. ► View Available Hint(s) T₁ = Submit Part B V ΑΣΦ ? °C The molecules in an ideal gas at…arrow_forwardIdeal gases are often studied at standard ambient temperature and pressure (SATP). The International Union of Pure and Applied Chemistry (IUPAC) defines SATP to be T = 25° C and P = 100 kPa. a. Calculate N/V (in particles per cubic meter) for an ideal gas at SATP b. How many atoms of an ideal gas at SATP are there in one cubic centimeter?arrow_forwardNewton's Law of Cooling says that the rate at which a body cools is proportional to the difference C in temperature between the body and the environment around it. The temperature f(t) of the body at time t in hours after being introduced into an environment having constant temperature To is f(t) = To +Ce-kt, where C and k are constants. A cup of coffee with temperature 135°F is placed in a freezer with temperature 0°F. After 10 minutes, the temperature of the coffee is 60°F. Use Newton's Law of Cooling to find the coffee's temperature after 20 minutes. |°F. After 20 minutes the coffee will have a temperature of (Round to the nearest integer as needed.)arrow_forward
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