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 47AP
(a)
To determine
The new diameter.
(b)
To determine
The change in temperature required to increase the volume.
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At 19.5°C, the radius of a solid aluminum sphere is 8.00 cm.
(a) At what temperature will the volume of the sphere have increased by 2.50%?
°C
(b) What is the increase in the sphere's radius if it is heated to 300°C? Assume a = 22.2 x 10-6 K-1 and
B = 66.6 × 10-6 K-1.
5 x
cm
A circular hole in a copper plate has a diameter 4.045 cm at 20.000 °C.
What is its diameter when the temperature of the plate is raised by 243 C°?
The coefficient of volume expansion of copper is 51 x 10-6 C°.
Select one:
O 4.062 cm
O 4.095 cm
O Answer Not Given
O 4.379 cm
O 4.546 cm
(a) Suppose a meter stick made of steel and one made of invar are the same length at 0°C. What is their difference in length at 42.5°C? The coefficient of thermal expansion is 12 x 10-6/°C for steel
and 0.9 x 10-6/°C for invar.
mm
(b) Repeat the calculation for two 16.0-m-long surveyor's tapes.
mm
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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- At 25.0 m below the surface of the sea, where the temperature is 5.00C, a diver exhales an air bubble having a volume of 1.00 cm3. If the surface temperature of the sea is 20.0C, what is the volume of the bubble just before it breaks the surface?arrow_forwardA hollow aluminum cylinder 20.0 cm deep has an internal capacity of 2.000 L at 20.0C. It is completely filled with turpentine at 20.0C. The turpentine and the aluminum cylinder are then slowly warmed together to 80.0C. (a) How much turpentine overflows? (b) What is the volume of the turpentine remaining in the cylinder at 80.0C? (c) If the combination with this amount of turpentine is then cooled back to 20.0C, how far below the cylinders rim does the turpentines surface recede?arrow_forwardA hollow aluminum cylinder 20.0 cm deep has an internal capacity of 2.000 L at 20.0C. It is completely filled with turpentine at 20.0C. The turpentine and the aluminum cylinder are then slowly warmed together to 80.0C. (a) How much turpentine overflows? (b) What is the volume of the turpentine remaining in the cylinder at 80.0C? (c) If the combination with this amount of turpentine is then cooled back to 20.0C, how far below the cylinders rim does the turpentines surface recede?arrow_forward
- A construction worker uses a steel tape to measure the length of an aluminum support column. If the measured length is 18.700 m when the temperature is 21.2C, what is the measured length when the temperature rises to 29.4C? Note: Dont neglect the expansion of the tape.arrow_forwardA cubic container of volume 2.00 L holds 0.500 mol of nitrogen gas at a temperature of 25.0 . What is the net force due to the nitrogen on one wall of the container? Compare that force to the sample's weight.arrow_forwardS. At a temperature of 22.20°C the hole in a steel plate has a diameter of 1.030 cm. If a steel rod with a diameter of 1.038 cm has to just slip through this hole, to what temperature should the plate be heated? The coefficient of area expansion of steel is 24 X 10 -6/ °C. Ans: 672arrow_forward
- A circular hole in a copper plate has a diameter 4.629 cm at 20.000 °C. What is its diameter when the temperature of the plate is raised by 201 C°? The coefficient of volume expansion of copper is 51 x10C°.arrow_forwardA circular hole in an aluminum plate is 2.386 cm in diameter at 0.000°C. What is its diameter when the temperature of the plate is raised to 75.50°C? The linear expansion coefficient of aluminum is 23.00 x 10-6 /C°. Number Units Use correct number of significant digits; the tolerance is +/-2%arrow_forwardAt a temperature of 20.20°C the hole in a steel plate has a diameter of 1.045 cm. If a steel rod with a diameter of 1.054 cm has to just slip through this hole, to what temperature should the plate be heated? The coefficient of area expansion of steel is 24 ✕ 10^−6/°C.arrow_forward
- A glass rod at an initial temperature of 23.0°C expands in such a way that its final volume to be 0.130% larger that its volume at 23.0°C. what must be the final temperature of the rod? α for glass is 0.8 x 10-5/°C.arrow_forwardAt 19.0°C an aluminum ring has an inner diameter of 6 cm, and a brass rod has a diameter of 6.090cm. Keeping the brass rod at 19.0°C,to what temperature must the aluminum ring be heated toallow the ring tojust slip over the brass rod? Final answer should be in F.arrow_forward
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