Solution Found!
A water tank is completely filled with liquid water at
Chapter 2, Problem 40P(choose chapter or problem)
Problem 40P
A water tank is completely filled with liquid water at 20°C. The tank material is such that it can withstand tension caused by a volume expansion of 1.2 percent. Determine the maximum temperature rise allowed without jeopardizing safety. For simplicity, assume β = constant = β at 40°C.
Questions & Answers
QUESTION:
Problem 40P
A water tank is completely filled with liquid water at 20°C. The tank material is such that it can withstand tension caused by a volume expansion of 1.2 percent. Determine the maximum temperature rise allowed without jeopardizing safety. For simplicity, assume β = constant = β at 40°C.
ANSWER:
Solution 40P
A water tank is completely filled with liquid water at 20°C. The tank material is such that it can withstand tension caused by a volume expansion of 1.2 percent.
Step 1 of 2
The coefficient of volume expansion()for finite changes at constant pressure is given by
= -
where
are change in density and temperature respectively.
The maximum temperature rise allowed can be determined by solving for in the above relation.
=
The average volume expansion coefficient expansion is given to be
A volume increase of 1.2% corresponds to a density decrease of 1.2% which can be expressed as (