2. The function C = - (F – 32) is used to convert a Fahrenheit temperature into temperature where the number of degrees in Celsius C, is a function of the number of degrees in Fahrenheit, F. (a) Is this a linear function (yes or no)? (b) Find C(0) (c) Find C(32) (d) Find the temperature in Celsius when the temperature in Fahrenheit is - 40 degrees. (e) Find the temperature in Fahrenheit when the temperature in Celsius is 30 degrees.

2. The function C = - (F – 32) is used to convert a Fahrenheit temperature into temperature where the number of degrees in Celsius C, is a function of the number of degrees in Fahrenheit, F. (a) Is this a linear function (yes or no)? (b) Find C(0) (c) Find C(32) (d) Find the temperature in Celsius when the temperature in Fahrenheit is - 40 degrees. (e) Find the temperature in Fahrenheit when the temperature in Celsius is 30 degrees.

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 46CP: A spherical shell has inner radius 3.00 cm and outer radius 7.00 cm. It is made of material with...

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Suppose that the average velocity (vrms) of carbon dioxide molecules (molecular mass is equal to 44.0g/mol ) in a ?ame is found to be 1.05105m/s. What temperature does this represent?
An ideal gas is maintained at constant pressure. If the temperature of the gas is increased from 200 K to 600 K, what happens to the rms speed of the molecules? (a) It increases by a factor of 3. (b) It remains the same. (c) It is one-third the original speed. (d) It is 3 times the original speed. (e) It increases by a factor of 6.
A spherical shell has inner radius 3.00 cm and outer radius 7.00 cm. It is made of material with thermal conductivity k = 0.800 W/m C. The interior is maintained at temperature 5C and the exterior at 40C. After an interval of time, the shell reaches a steady state with the temperature at each point within it remaining constant in time. (a) Explain why the rate of energy transfer P must be the same through each spherical surface, of radius r, within the shell and must satisfy dTdr=P4kr2 (b) Next, prove that 5dT=P4k0.030.07r2dr where T is in degrees Celsius and r is in meters. (c) Find the rate of energy transfer through the shell. (d) Prove that 5TdT=1.840.03rr2dr where T is in degrees Celsius and r is in meters. (e) Find the temperature within the shell as a function of radius. (f) Find the temperature at r = 5.00 cm, halfway through the shell.
A 20.0-L tank of carbon dioxide gas (CO2) is at a pressure of 9.50 105 Pa and temperature of 19.0C (a) Calculate the temperature of the gas in Kelvin. (b) Use the ideal gas law to calculate the number of moles of gas in the tank. (c) Use the periodic table to compute the molecular weight of carbon dioxide, expressing it in grams per mole. (d) Obtain the number of grains of carbon dioxide in the tank. (e) A fire breaks out, raising the ambient temperature by 224.0 K while 82.0 g of gas leak out of the tank. Calculate the new temperature and the number of moles of gas remaining in the tank. (f) Using a technique analogous to that in Example 10.6b, find a symbolic expression for the final pressure, neglecting the change in volume of the tank. (g) Calculate the final pressure in the tank as a result of the fire and leakage.
Two cylinders A and B at the same temperature contain the same quantity of the same kind of gas. Cylinder A has three times the volume of cylinder B. What can you conclude about the pressures the gases exert? (a) We can conclude nothing about the pressures. (b) The pressure in A is three times the pressure in B. (c) The pressures must be equal. (d) The pressure in A must be one-third the pressure in B.
In 1993, the U.S. government instituted a requirement that all room air conditioners sold in the United States must have an energy efficiency ratio (EER) of 10 or higher. The EER is defined as the ratio of the cooling capacity of the air conditioner, measured in British thermal units per hour, or Btu/h, to its electrical power requirement in watts. (a) Convert the EER of 10.0 to dimensionless form, using the conversion 1 Btu = 1 055 J. (b) What is the appropriate name for this dimensionless quantity? (c) In the 1970s, it was common to find room air conditioners with EERs of 5 or lower. State how the operating costs compare for 10 000-Btu/h air conditioners with EERs of 5.00 and 10.0. Assume each air conditioner operates for 1 500 h during the summer in a city where electricity costs 17.0 per kWh.
The escape velocity from the Moon is much smaller than from Earth and is only 2.38km/s. At what temperature would hydrogen molecules (molecular mass is equal to 2.01ftg/mol ) have an average velocity vrms equal to the Moon’s escape velocity?
The distance between telephone poles is 30.50 m in a neighborhood where the temperature ranges from 35C to 40C. If you hang a copper cable between two adjacent poles on a day when the temperature is 22.30C, what is the minimum length of the copper cable you must use for the cable to remain connected to the poles all year? Assume the cable is straight, and ignore the effect of gravity on the cable. Consider to have four significant figures and report your answer to four significant figures.
An ideal gas is contained in a vessel at 300 K. The temperature of the gas is then increased to 900 K. (i) By what factor does the average kinetic energy of the molecules change, (a) a factor of 9, (b) a factor of 3, (c) a factor of 3, (d) a factor of 1, or (e) a factor of 13? Using the same choices as in part (i), by what factor does each of the following change: (ii) the rms molecular speed of the molecules, (iii) the average momentum change that one molecule undergoes in a collision with one particular wall, (iv) the rate of collisions of molecules with walls, and (v) the pressure of the gas?
A fire breaks out and increases the Kelvin temperature of a cylinder of compressed gas by a factor of 1.2. What is the final pressure of the gas relative to its initial pressure?