Calculating Pressure Increase from Ice Expansion in an Engine Block

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SUMMARY

The pressure increase inside an automobile engine block due to the freezing of water can be calculated using the formula Delta P = -B * (Delta V) / V, where B represents the bulk modulus of ice, measured at 2.00 x 10^9 N/m². The calculated pressure increase is 1.82 x 10^8 Pa, which is within 10% of the expected answer. The expansion of water upon freezing is approximately 9.10%, leading to a significant pressure change in confined spaces such as engine blocks.

PREREQUISITES
  • Understanding of bulk modulus in materials
  • Basic knowledge of pressure-volume relationships
  • Familiarity with the concept of thermal expansion
  • Proficiency in algebraic manipulation of equations
NEXT STEPS
  • Research the properties of ice and its bulk modulus in different conditions
  • Learn about the effects of thermal expansion in closed systems
  • Explore real-world applications of pressure calculations in automotive engineering
  • Investigate the implications of water freezing in various mechanical systems
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Students in physics or engineering, automotive engineers, and anyone interested in the effects of temperature changes on mechanical systems.

zaqwer
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Homework Statement



When water freezes, it expands about 9.10%. What would be the pressure increase inside your automobile engine block if the water in it froze? The bulk modulus of ice is 2.00 multiplied by 10^9 N/m2.


Homework Equations



Delta P=-B*(Delta V)/V

The Attempt at a Solution



Delta P= 2*10^9*.091
= 1.82*10^8 Pa

It says that the answer is within 10% of the correct answer however I don't know if there is a small error that is causing me to be slightly off.
 
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1.00 is not 9.10% less than 1.0910. Know what I mean?

EDIT: By the way, welcome to PF!
 

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