A liquid has a density r. (a) Show that the fractional change in density for a change in temperature ΔT is Δρ/ρ = -β ΔT. (b) What does the negative sign signify? (c) Fresh water has a maximum density of 1.000 0 g/cm3 at 4.0°C. At 10.0°C, its density is 0.999 7 g/cm3. What is β for water over this temperature interval? (d) At 0°C, the density of water is 0.999 9 g/cm3. What is the value for β over the temperature range 0°C to 4.00°C?
A liquid has a density r. (a) Show that the fractional change in density for a change in temperature ΔT is Δρ/ρ = -β ΔT. (b) What does the negative sign signify? (c) Fresh water has a maximum density of 1.000 0 g/cm3 at 4.0°C. At 10.0°C, its density is 0.999 7 g/cm3. What is β for water over this temperature interval? (d) At 0°C, the density of water is 0.999 9 g/cm3. What is the value for β over the temperature range 0°C to 4.00°C?
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 62P
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A liquid has a density r. (a) Show that the fractional change in density for a change in temperature ΔT is Δρ/ρ = -β ΔT. (b) What does the negative sign signify? (c) Fresh water has a maximum density of 1.000 0 g/cm3 at 4.0°C. At 10.0°C, its density is 0.999 7 g/cm3. What is β for water over this temperature interval? (d) At 0°C, the density of water is 0.999 9 g/cm3. What is the value for β over the temperature range 0°C to 4.00°C?
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