Relationship of bulk modulus and fractional volume change

If the bulk modulus change by 5%, the fractional volume change value would depend on the original bulk modulus and the stress applied. Without knowing those values, I cannot provide a specific answer.
  • #1
ralden
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So my question is, if the bulk modulus change by 5%, what is the fractional volume change value? is it times 0.05 or divided by 0.05? or the fractional volume change still the same?
 
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  • #2
ralden said:
So my question is, if the bulk modulus change by 5%, what is the fractional volume change value? is it times 0.05 or divided by 0.05? or the fractional volume change still the same?
I can't make sense of the question. Bulk modulus is a property of the substance. You could change its bulk modulus by, say, heating it, but how is that connected with a fractional change in the volune of a sample?

Perhaps you have samples of two substances with different bulk moduli, and you know the fractional volume change in one due to some stress, and wish to deduce the fractional change in volume of the other sample subjected to the same stress?
 

Related to Relationship of bulk modulus and fractional volume change

1. What is the relationship between bulk modulus and fractional volume change?

The bulk modulus and fractional volume change have an inverse relationship. This means that as the bulk modulus increases, the fractional volume change decreases, and vice versa.

2. How is the bulk modulus related to the stiffness of a material?

The bulk modulus is a measure of the stiffness of a material. A higher bulk modulus indicates that a material is more resistant to compression and is therefore stiffer.

3. Can the bulk modulus and fractional volume change be used to predict the behavior of a material under pressure?

Yes, the bulk modulus and fractional volume change can be used to predict how a material will respond to changes in pressure. A higher bulk modulus indicates that a material will experience less volume change when subjected to pressure, while a lower bulk modulus indicates a greater volume change.

4. How are bulk modulus and fractional volume change related to the elasticity of a material?

The bulk modulus and fractional volume change are both measures of a material's elasticity. A higher bulk modulus and lower fractional volume change indicate a more elastic material, while a lower bulk modulus and higher fractional volume change indicate a less elastic material.

5. Can the relationship between bulk modulus and fractional volume change be used to compare the compressibility of different materials?

Yes, the relationship between bulk modulus and fractional volume change can be used to compare the compressibility of different materials. Materials with a higher bulk modulus and lower fractional volume change will be less compressible than materials with a lower bulk modulus and higher fractional volume change.

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