Calculating Pressure Increase from Ice Expansion in an Engine Block

[zaqwer]

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.

 

[Mapes]

1.00 is not 9.10% less than 1.0910. Know what I mean?

EDIT: By the way, welcome to PF!

 

[nlightner]

Your solution appears to be correct. However, in real-world scenarios, there may be other factors that can affect the pressure increase inside the engine block, such as the presence of air pockets or other materials that may also expand when frozen. Therefore, it is important to consider these factors and conduct further analysis to accurately determine the pressure increase. Additionally, it is always good practice to double check your calculations and units to ensure accuracy.