Required change in pressure to change volume

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Homework Help Overview

The discussion revolves around determining the pressure required to compress the volume of an iron block by 0.10%. The problem involves concepts from material science, specifically the bulk modulus of iron.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants attempt to apply the bulk modulus formula and explore different volume values to understand the relationship between pressure and volume change. Questions arise regarding the correct interpretation of the percentage change in volume and its application in calculations.

Discussion Status

The discussion includes attempts to clarify the correct application of the bulk modulus and the percentage change in volume. Some participants express confusion about their calculations and seek validation of their reasoning. There is acknowledgment of previous errors, but no consensus on the final answer has been reached.

Contextual Notes

Participants note the specific value of the bulk modulus for iron and the given percentage change in volume as a critical part of the problem. There is an emphasis on ensuring the correct interpretation of the problem statement and the calculations involved.

ryan.howie
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Homework Statement



How much pressure is needed to compress the volume of an iron block by 0.10%?

Homework Equations



the bulk modulus of iron= 9*10^10
delta_P= B*Vo/delta_V

The Attempt at a Solution


I have tried using random volume for example 1 and 0.01, and 2 and 0.02 but i feel i am way off.
 
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ryan.howie said:

Homework Statement



How much pressure is needed to compress the volume of an iron block by 0.10%?

Homework Equations



the bulk modulus of iron= 9*10^10
delta_P= B*Vo/delta_V

The Attempt at a Solution


I have tried using random volume for example 1 and 0.01, and 2 and 0.02 but i feel i am way off.

Welcome to PF.

Why do you feel you are way off?

Note though that B = ΔP/(ΔV/V)

http://hyperphysics.phy-astr.gsu.edu/hbase/permot3.html#c1

They give you already that ΔV/V = .1%
 
Thanks for the welcome and quick reply,

so ΔP=B(ΔV/V)
and B=9*10^10
and as you said ΔV/V=1%
so the change in pressure should be 1% of B which 9*10^8 N/m^2
but this is one of my previous answers and is wrong.
 
ryan.howie said:
Thanks for the welcome and quick reply,

so ΔP=B(ΔV/V)
and B=9*10^10
and as you said ΔV/V=1%
so the change in pressure should be 1% of B which 9*10^8 N/m^2
but this is one of my previous answers and is wrong.

Reread the problem statement, and my statement again.
How much pressure is needed to compress the volume of an iron block by 0.10%?
They give you already that ΔV/V = .1%
 
Sorry that was a stupid mistake. The pressure needed should be 9*10^7. thanks you for your help:smile:
 
ryan.howie said:
Sorry that was a stupid mistake. The pressure needed should be 9*10^7. thanks you for your help:smile:

Let's be more generous and call it careless.

As they say:

Careless happens.
 

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