Juan loves the movie "Titanic". So after he gets his Pfizer booster he takes a Disney Cruise to Newfoundland, Canada (where the real Titanic sank) and is on the look out for icebergs. However, due to global warming all the ice he sees are roughly 1 m cubes. If ice has a density of 917 kg/m^3 and the ocean water has a density of 1,025 kg/m^3, how high will the 1 m^3 "icebergs" above the water so that Juan can see them?

Most materials expand when heated. One notable exception is water between 0 and 4 , which actually decreases in volume with the increase in temperature. Which is greater for water in this temperature region, Cp or Cv ?

How many cubic meters of helium are required to lift a balloon with a 400-kg payload to a height of 8 000 m? Take He = 0.179 kg/m3. Assume the balloon maintains a constant volume and the density of air decreases with the altitude z according to the expression air = 0ez/8, where z is in meters and 0 = 1.20 kg/m3 is the density of air at sea level.

Lead has a density of 11.3 103 kg/m3 at 0C. (a) What is the density of lead at 90C? (b) Based on your answer to part (a), now consider a situation in which you plan to invest in a gold bar. Would you be better off buying it on a warm day? Explain.

The density or gasoline is 7.30 102 kg/m3 at 0C. Its average coefficient of volume expansion is 9.60 104(C)1 and note that 1.00 gal = 0.003 80 m3. (a) Calculate the mass of 10.0 gal of gas at 0C. (b) If 1.000 m3 of gasoline at 0C is warmed by 20.0C, calculate its new volume. (c) Using the answer to part (b), calculate the density of gasoline at 20.0C. (d) Calculate the mass of 10.0 gal of gas at 20.0C. (e) How many extra kilograms of gasoline would you get if you bought 10.0 gal of gasoline at 0C rather than at 20.0C from a pump that is not temperature compensated?

There are two important isotopes of uranium, U235 and U238 ; these isotopes are nearly identical chemically but have different atomic masses. Only U235 is very useful in nuclear reactors. Separating the isotopes is called uranium enrichment (and is often in the news as of this writing, because of concerns that some countries are enriching uranium with the goal of making nuclear weapons.) One of the techniques for enrichment, gas diffusion, is based on the different molecular speeds of uranium hexafluoride gas, UF6 . (a) The molar masses of U235 and U238F6 are 349.0 g/mol and 352.0 g/mol, respectively. What is the ratio of their typical speeds vrms ? (b) At what temperature would their typical speeds differ by 1.00 m/s? (c) Do your answers in this problem imply that this technique may be difficult?

Let's stop ignoring the greenhouse effect and incorporate it into the previous problem in a very rough way. Assume the atmosphere is a single layer, a spherical shell around Earth, with an emissivity e 0.77 (chosen simply to give the light answer) at infrared wavelengths emitted by Earth and by the atmosphere. However, the atmosphere is transparent to the Sun's radiation (that is, assume the radiation is at visible wavelengths with no infrared), so the Sun's radiation leaches the surface. The greenhouse effect comes from the difference between the atmosphere transmission of visible light and its rather strong absorption of infrared. Note that the atmosphere's radius is not significantly different from Earth's, but since the atmosphere is a layer above Earth, it emits radiation both upward and downward, so it has twice Earth's area. There are three radiative energy transfers in this problem: solar radiation absorbed by Earth's surface; infrared radiation from the surface, which is absorbed by the atmosphere according to its emissivity; and infrared radiation from the atmosphere, half of which is absorbed by Earth and half of which goes out into space. Apply the method of the previous problem to get an equation for Earth 's surface and one for the atmosphere, and solve them for the two unknown temperatures, surface and atmosphere. a. In terms of Earth's radius, the constant , and the unknown temperature Ts of the surface, what is the power of the infrared radiation from the surface? b. What is the power of Earth 's radiation absorbed by the atmosphere? c. In terms of the unknown temperature Te of the atmosphere, what is the power radiated from the atmosphere? d. Write an equation that says the power of the radiation the atmosphere absorbs from Earth equals the of the radiation it emits. e. Half of the power radiated by the atmosphere hits Earth. Write an equation that says that the power Earth absorbs from the atmosphere and the Sun equals the power that it emits. f. Solve your two equations for the unknown temperature of Earth. For steps that make this model less crude, see for example (https://openstaxcollege.org/l/21paulgormlec) by Paul O'Gorrnan.

Since 1995, hundreds of extrasolar planets have been discovered. There is the exciting possibility that there is life on one or more of these planets. To support life similar to that on the Earth, the planet must have liquid water. For an Earth-like planet orbiting a star like the Sun, this requirement means that the planet must be within a habitable zone of 0.9 AU to 1.4 AU from the star. The semimajor axis of an extrasolar planet is inferred from its period. What range in periods corresponds to the habitable zone for an Earth-like Planet orbiting a Sun-like star?

(a) Find the density in SI units of air at a pressure of 1.00 atm and a temperature of 20 , assuming that air is 78% N2, 21% O2, and 1% Ar, (b) Find the density of the atmosphere on Venus, assuming that it's 96% CO2 and 4% N2, with a temperature of 737 K and a pressure of 92.0 atm.

How many cubic meters of helium are required to lift a light balloon with a 400-kg payload to a height of 8 000 m? Take Hc = 0.179 kg/m3. Assume the balloon maintains a constant volume and the density of air decreases with the altitude z according to the expression pair = 0e-z/8 000, where z is in meters and 0 = 1.20 kg/m3 is the density of air at sea level.