The density of gasoline is 7.30 x 102 kg/m³ at 0°C. Its average coefficient of volume expansion is 9.60 x 10-4 (°C)-1, and note that 1.00 gal = 0.00380 m³. (a) Calculate the mass of 11.8 gal of gas at 0°C. (Give your answer to at least two decimal places.) kg (b) If 1.000 m³ of gasoline at 0°C is warmed by 19.3°C, calculate its new volume. (Give your answer to at least two decimal places.) 7m³ (c) Using the answer to part (b), calculate the density of gasoline at 19.3°C. (Give your answer to at least three significant figures.) kg/m³

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
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The density of gasoline is 7.30 × 10² kg/m³ at 0°C. Its average coefficient of volume expansion is 9.60 × 10−4 (°C)−¹, and note that 1.00 gal
=
(a) Calculate the mass of 11.8 gal of gas at 0°C. (Give your answer to at least two decimal places.)
kg
(b) If 1.000 m³ of gasoline at 0°C is warmed by 19.3°C, calculate its new volume. (Give your answer to at least two decimal places.)
m³
(c) Using the answer to part (b), calculate the density of gasoline at 19.3°C. (Give your answer to at least three significant figures.)
kg/m³
(d) Calculate the mass of 11.8 gal of gas at 19.3°C. (Give your answer to at least two decimal places.)
kg
0.00380 m³.
(e) How many extra kilograms of gasoline would you get if you bought 11.8 gal of gasoline at 0°C rather than at 19.3°C from a pump that is not temperature compensated?
kg
Transcribed Image Text:The density of gasoline is 7.30 × 10² kg/m³ at 0°C. Its average coefficient of volume expansion is 9.60 × 10−4 (°C)−¹, and note that 1.00 gal = (a) Calculate the mass of 11.8 gal of gas at 0°C. (Give your answer to at least two decimal places.) kg (b) If 1.000 m³ of gasoline at 0°C is warmed by 19.3°C, calculate its new volume. (Give your answer to at least two decimal places.) m³ (c) Using the answer to part (b), calculate the density of gasoline at 19.3°C. (Give your answer to at least three significant figures.) kg/m³ (d) Calculate the mass of 11.8 gal of gas at 19.3°C. (Give your answer to at least two decimal places.) kg 0.00380 m³. (e) How many extra kilograms of gasoline would you get if you bought 11.8 gal of gasoline at 0°C rather than at 19.3°C from a pump that is not temperature compensated? kg
The average coefficient of volume expansion for carbon tetrachloride is 5.81 x 10-4 (°C)-¹. If a 48.0-gal steel container is filled completely with carbon tetrachloride when the temperature is 10.0°C, how much will spill over when the temperature rises to
34.5°C? (Assume the coefficient of thermal expansion of steel is 11 × 10-6 (°C) −¹.)
gal
Transcribed Image Text:The average coefficient of volume expansion for carbon tetrachloride is 5.81 x 10-4 (°C)-¹. If a 48.0-gal steel container is filled completely with carbon tetrachloride when the temperature is 10.0°C, how much will spill over when the temperature rises to 34.5°C? (Assume the coefficient of thermal expansion of steel is 11 × 10-6 (°C) −¹.) gal
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