A mercury thermometer has a glass bulb of interior volume 0.10 cm3. The capillary tube above the bulb has an inner cross-sectional area of 0.012 mm2. The coefficient of volume expansion of mercury is 1.8 x 10-4 K-1. If there is no mercury in the capillary at 5°C (i.e., the mercury just fills the bulb), how much will the mercury rise in the capillary when the temperature rises to 35°C? Assume the expansion of the glass is negligible, Hint: The extra volume after expansion is the capillary volume. Careful with units! O 0.45 mm O 45 mm O 4.5 cm O 4.5 mm

A mercury thermometer has a glass bulb of interior volume 0.10 cm3. The capillary tube above the bulb has an inner cross-sectional area of 0.012 mm2. The coefficient of volume expansion of mercury is 1.8 x 10-4 K-1. If there is no mercury in the capillary at 5°C (i.e., the mercury just fills the bulb), how much will the mercury rise in the capillary when the temperature rises to 35°C? Assume the expansion of the glass is negligible, Hint: The extra volume after expansion is the capillary volume. Careful with units! O 0.45 mm O 45 mm O 4.5 cm O 4.5 mm

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter16: Temperature And The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 2OQ: A cylinder with a piston holds 0.50 m3 of oxygen at an absolute pressure of 4.0 atm. The piston is...

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A cylinder with a piston holds 0.50 m3 of oxygen at an absolute pressure of 4.0 atm. The piston is pulled outward, increasing the volume of the gas until the pressure drops to 1.0 atm. If the temperature stays constant, what new volume does the gas occupy? (a) 1.0 m3 (b) 1.5 m3 (c) 2.0 m3 (d) 0.12 m3 (e) 2.5 m3
A gas is at 200 K. If we wish to double the rms speed of the molecules of the gas, to what value must we raise its temperature? (a) 283 K (b) 400 K (c) 566 K (d) 800 K (e) 1 130 K
Cylinder A contains oxygen (O2) gas, and cylinder B contains nitrogen (N2) gas. If the molecules in the two cylinders have the same rms speeds, which of the following statements is false? (a) The two gases haw different temperatures. (b) The temperature of cylinder B is less than the temperature of cylinder A. (c) The temperature of cylinder B is greater than the temperature of cylinder A. (d) The average kinetic energy of the nitrogen molecules is less than the average kinetic energy of the oxygen molecules.
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 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?
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A balloon has a volume of 2.0 m3. As it rises in the Earth's atmosphere, its volume expands. What will be its new volume if its original temperature and pressure are 20°C and 1.0 atm, and its final temperature and pressure are -40°C and 0.10 atm?
Problem 8: A bicycle tire has a pressure of 6.85 × 105 Pa at a temperature of 19°C and contains 2.00 L of gas. What will its pressure be, in pascals, if you let out an amount of air that has a volume of 105 cm3 at atmospheric pressure and at the temperature of the tire? Assume tire temperature and volume remain constant.
An aluminum can is filled to the brim with a liquid. The can and the liquid are heated so their temperatures change by the same amount. The can’s initial volume at 15 oC is 4.5×10- 4 m3 . The coefficient of volume expansion for aluminum is 69×10-6 oC-1 . When the can and the liquid are heated to 75 oC, 2.9×10-6 m3 of liquid spills over. What is the coefficient of volume expansion of the liquid?
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A glass flask whose volume is 1000.0 cm3 at 0.0°C is completely filled with mercury at this temperature. When flask and mercury are warmed to 55.0°C, 8.95 cm3 of mercury overflow. If the coefficient of volume expansion of mercury is 18.0 x 105 K-1, compute the coefficient of volume expansion of the glass.
A sealed container with a lid of area 0.004 m2is filled with an ideal gas. The container and gas are allowed to reach thermal equilibrium with the surrounding air. If a 2000 N block is needed to keep the lid from being pushed off the container, what is the absolute pressure inside the container (the pressure compared to vacuum) ?