Fluid mechanics Volume change with temp change

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SUMMARY

The discussion focuses on the volume change of water when its temperature is increased from 4°C to 50°C. The relevant equations for calculating the volume change include the coefficient of volumetric thermal expansion for water, which is approximately 0.000214 per °C. The absolute volume change can be calculated using the formula ΔV = V0 * β * ΔT, where V0 is the initial volume, β is the coefficient of volumetric thermal expansion, and ΔT is the change in temperature. The final calculations yield a volume change of approximately 2.7 liters, representing a 0.006% increase in total volume.

PREREQUISITES
  • Understanding of thermal expansion principles
  • Familiarity with the coefficient of volumetric thermal expansion
  • Basic algebra for volume change calculations
  • Knowledge of water properties at different temperatures
NEXT STEPS
  • Research the coefficient of volumetric thermal expansion for different liquids
  • Learn about the effects of temperature on fluid density
  • Explore applications of thermal expansion in engineering
  • Study the implications of volume change in closed systems
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Students and professionals in fluid mechanics, engineers involved in thermal systems, and anyone interested in the physical properties of water and its behavior under temperature changes.

dev12345
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1. A 45 US gallon drum full of water is stored at 4oC. The water temperature is slowly raised to 50oC. What is the change in volume of water over this temperature range as an absolute amount (in Litres) and as a % of the total?
 
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dev12345: You must list relevant equations yourself, and show your work; and then someone might check your math.
 

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