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Chapter 3: Q11E (page 575)
The Humber Bridge in England has the world鈥檚 longest single span, 1410 m. Calculate the change in length of the steel deck of the span when the temperature increases from -5.0潞C to 18.0潞C.
The change in length of the steel deck when temperature increases from -5.0潞C to 18.0潞C is +0.39 m.
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A vessel whose walls are thermally insulated contains 2.40kg of water and 0.450kg of ice, all at . The outlet of a tube leading from a boiler in which water is boiling at atmospheric pressure is inserted into the water. How many grams of steam must condense inside the vessel (also at atmospheric pressure) to raise the temperature of the system to ? You can ignore the heat transferred to the container.
When a quantity of monatomic ideal gas expands at a constant pressure of , the volume of the gas increases fromrole="math" localid="1664296449974" to . What is the change in the internal energy of the gas?
The Lennard-Jones Potential. A commonly used potential-energy function for the interaction of two molecules (see Fig. 18.8) is the Lennard-Jones 6-12 potential:
where is the distance between the centers of the molecules andandare positive constants. The corresponding forceis given in Eq. (14.26). (a) Graph U(r) and F (r) versus r. (b) Let r1 be the value of r at which U ( r ) = 0, and let r2 be the value of r at which F ( r ). Show the locations ofandon your graphs of U(r) and F(r). Which of these values represents the equilibrium separation between the molecules? (c) Find the values of r1and r2 in terms of R0, and find the ratio. (d) If the molecules are located a distance r2 apart [as calculated in part (c)], how much work must be done to pull them apart so that?
A cylinder contains 0.250 mol of carbon dioxide 1CO22 gas at a temperature of 27.0掳C. The cylinder is provided with a frictionless piston, which maintains a constant pressure of 1.00 atm on the gas. The gas is heated until its temperature increases to 127.0掳C. Assume that the CO2 may be treated as an ideal gas. (a) Draw a pV-diagram for this process. (b) How much work is done by the gas in this process? (c) On what is this work done? (d) What is the change in internal energy of the gas? (e) How much heat was supplied to the gas? (f) How much work would have been done if the pressure had been 0.50 atm?
The prevailing winds on the Hawaiian island of Kauai blow from the northeast. The winds cool as they go up the slope of Mt. Waialeale (elevation 1523 m), causing water vapor to condense and rain to fall. There is much more precipitation at the summit than at the base of the mountain. In fact, Mt. Waialeale is the rainiest spot on earth, averaging 11.7 m of rainfall a year. But what makes the winds cool?
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