Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Chapter 19, Problem 52AP
To determine
The change in height in capillary.
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A liquid with a coefficient of volume expansion of β just fills a spherical flask of volume V 0 at temperature Ti (Fig. P10.57). The flask is made of a material that has a coefficient of linear expansion of a. The liquid is free to expand into a capillary of cross- sectional area A at the top. (a) Show that if the temperature increases by ΔT, the liquid rises in the capillary by the amount Δh = (V0 /A)(β − 3α)ΔT. (b) For a typical system, such as a mercury thermometer, why is it a good approximation to neglect the expansion of the flask?
A 40.0-g projectile is launched by the expansion of hot gas in an arrangement shown in Figure P12.4a. The cross-sectional area of the launch tube is 1.0 cm2, and the length that the projectile travels down the tube after starting from rest is 32 cm. As the gas expands, the pressure varies as shown in Figure P12.4b. The values for the initial pressure and volume are Pi = 11 x 105 Pa and Vi = 8.0 cm3 while the final values arePf = 1.0 x 105 Pa and Vf = 40.0 cm3. Friction between the projectile and the launch tube is negligible. (a) If the projectile is launched into a vacuum, what is the speed of the projectile as it leaves the launch tube? (b) If instead the projectile is launched into air at a pressure of 1.0 x 105 Pa, what fraction of the work done by the expanding gas in the tube is spent by the projectile pushing air out of the way as it proceeds down the tube?
A spherical balloon is made from a material whose mass is 2.00kg. The thickness of the material is negligible compared to the 1.20-m radius of the balloon. The balloon is filled with helium gas at a temperature of 296K and just floats in the air, neither rising nor falling. The density of the surrounding air is 1.19kg/m31.19kg/m3 . Find the absolute pressure of the helium gas.
Chapter 19 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 19.1 - Prob. 19.1QQCh. 19.3 - Consider the following pairs of materials. Which...Ch. 19.4 - If you are asked to make a very sensitive glass...Ch. 19.4 - Prob. 19.4QQCh. 19.5 - A common material for cushioning objects in...Ch. 19.5 - On a winter day, you turn on your furnace and the...Ch. 19 - Prob. 1OQCh. 19 - Prob. 2OQCh. 19 - Prob. 3OQCh. 19 - Prob. 4OQ
Ch. 19 - Prob. 5OQCh. 19 - Prob. 6OQCh. 19 - Prob. 7OQCh. 19 - Prob. 8OQCh. 19 - Prob. 9OQCh. 19 - Prob. 10OQCh. 19 - Prob. 11OQCh. 19 - Prob. 12OQCh. 19 - Prob. 13OQCh. 19 - Prob. 14OQCh. 19 - Prob. 1CQCh. 19 - Prob. 2CQCh. 19 - Prob. 3CQCh. 19 - Prob. 4CQCh. 19 - Prob. 5CQCh. 19 - Metal lids on glass jars can often be loosened by...Ch. 19 - Prob. 7CQCh. 19 - Prob. 8CQCh. 19 - Prob. 9CQCh. 19 - Prob. 10CQCh. 19 - Prob. 1PCh. 19 - Prob. 2PCh. 19 - Prob. 3PCh. 19 - Prob. 4PCh. 19 - Liquid nitrogen has a boiling point of 195.81C at...Ch. 19 - Prob. 6PCh. 19 - Prob. 7PCh. 19 - Prob. 8PCh. 19 - Prob. 9PCh. 19 - Prob. 10PCh. 19 - A copper telephone wire has essentially no sag...Ch. 19 - Prob. 12PCh. 19 - The Trans-Alaska pipeline is 1 300 km long,...Ch. 19 - Prob. 14PCh. 19 - Prob. 15PCh. 19 - Prob. 16PCh. 19 - Prob. 17PCh. 19 - Why is the following situation impossible? A thin...Ch. 19 - A volumetric flask made of Pyrex is calibrated at...Ch. 19 - Review. On a day that the temperature is 20.0C, a...Ch. 19 - Prob. 21PCh. 19 - Prob. 22PCh. 19 - Prob. 23PCh. 19 - Prob. 24PCh. 19 - Prob. 25PCh. 19 - Prob. 26PCh. 19 - Prob. 27PCh. 19 - Prob. 28PCh. 19 - Prob. 29PCh. 19 - Prob. 30PCh. 19 - An auditorium has dimensions 10.0 m 20.0 m 30.0...Ch. 19 - Prob. 32PCh. 19 - Prob. 33PCh. 19 - Prob. 34PCh. 19 - Prob. 35PCh. 19 - In state-of-the-art vacuum systems, pressures as...Ch. 19 - Prob. 37PCh. 19 - Prob. 38PCh. 19 - Prob. 39PCh. 19 - Prob. 40PCh. 19 - Prob. 41PCh. 19 - Prob. 42PCh. 19 - Prob. 43PCh. 19 - The pressure gauge on a cylinder of gas registers...Ch. 19 - Prob. 45APCh. 19 - Prob. 46APCh. 19 - Prob. 47APCh. 19 - Prob. 48APCh. 19 - Prob. 49APCh. 19 - Why is the following situation impossible? An...Ch. 19 - Prob. 51APCh. 19 - Prob. 52APCh. 19 - Prob. 53APCh. 19 - Prob. 54APCh. 19 - A student measures the length of a brass rod with...Ch. 19 - Prob. 56APCh. 19 - A liquid has a density . (a) Show that the...Ch. 19 - Prob. 59APCh. 19 - Prob. 60APCh. 19 - The rectangular plate shown in Figure P19.61 has...Ch. 19 - Prob. 62APCh. 19 - Prob. 63APCh. 19 - Prob. 64APCh. 19 - Prob. 65APCh. 19 - Prob. 66APCh. 19 - Prob. 67APCh. 19 - Prob. 68APCh. 19 - Prob. 69APCh. 19 - Prob. 70APCh. 19 - Prob. 71APCh. 19 - Prob. 72CPCh. 19 - Prob. 73CPCh. 19 - Prob. 74CPCh. 19 - Prob. 75CPCh. 19 - Prob. 76CPCh. 19 - Prob. 77CPCh. 19 - Prob. 78CPCh. 19 - A 1.00-km steel railroad rail is fastened securely...
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- A vertical cylinder of cross-sectional area A is fitted with a tight-fitting, frictionless piston of mass m (Fig. P16.56). The piston is not restricted in its motion in any way and is supported by the gas at pressure P below it. Atmospheric pressure is P0. We wish to find die height h in Figure P16.56. (a) What analysis model is appropriate to describe the piston? (b) Write an appropriate force equation for the piston from this analysis model in terms of P, P0, m, A, and g. (c) Suppose n moles of an ideal gas are in the cylinder at a temperature of T. Substitute for P in your answer to part (b) to find the height h of the piston above the bottom of the cylinder.arrow_forwardA gas is in a container of volume V0 at pressure P0. It is being pumped out of the container by a piston pump. Each stroke of the piston removes a volume Vs through valve A and then pushes the air out through valve B as shown in Figure P19.74. Derive an expression that relates the pressure Pn of the remaining gas to the number of strokes n that have been applied to the container. FIGURE P19.74arrow_forwardA 40.0-g projectile is launched by the expansion of hot gas in an arrangement shown in Figure P12.4a. The cross sectional area of the launch tube is 1.0 cm2, and the length that the projectile travels down the tube after starting from rest is 52 cm. As the gas expands, the pressure varies as shown in Figure P12.4b. The values for the initial pressure and volume are P1 = 11 105 Pa and Vi = 8.0 cm3 while the final values are Pf = 1.0 105 Pa and Vf = 8.0 cm3. Friction between the projectile and the launch tube is negligible, (a) If the projectile is launched into a vacuum, what is the speed of the projectile as it leaves the launch tube? (b) If instead the projectile is launched into air at a pressure of 1.0 105 Pa. what fraction of the work done by the expanding gas in the tube is spent by the projectile pushing air out of the way as it proceeds down tile tube?arrow_forward
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